|
296
|
Basic-Algebra
|
|
Basic-Algebra
|
|
|
|
297
|
Basic-Algebra
|
|
Arithmetic readiness
|
|
|
|
298
|
Basic-Algebra
|
|
Whole
numbers
|
0 1 2 3 4 5
|
|
|
299
|
Basic-Algebra
|
|
Fractions
|
1/2
|
|
|
300
|
Basic-Algebra
|
|
Decimals
|
.3
|
|
|
301
|
Basic-Algebra
|
|
Percents
|
%
|
|
|
302
|
Basic-Algebra
|
|
Geometry
|
|
|
|
303
|
Basic-Algebra
|
|
Data
analysis
|
|
|
|
|
|
|
|
|
|
|
318
|
Basic-Algebra
|
|
Properties
of real numbers
|
Commutative property:
Associative property:
Identity property:
Inverse property:
Multiplication property of zero:
Distributive property:
Multiplication addition
|
Solution
|
|
|
|
|
|
|
|
|
334
|
Basic-Algebra
|
|
Order
of operations: Problem type 1
|
4x4+4-6/2
|
Solution
|
|
335
|
Basic-Algebra
|
|
Order
of operations: Problem type:2
|
|
Solution
|
|
336
|
Basic-Algebra
|
|
Factors
|
Write all
the factors of  .
Use commas to separate them.
|
Solution
|
|
337
|
Basic-Algebra
|
|
Prime
numbers
|
1 2 3
|
Solution
|
|
338
|
Basic-Algebra
|
|
Prime
number factorization
|
Write
 as
a product of prime factors.
|
Solution
|
|
339
|
Basic-Algebra
|
|
Greatest
common factor
|
Find
the greatest common factor of  and
 .
|
Solution
|
|
340
|
Basic-Algebra
|
|
Least
common multiple
|
Find the least common multiple
of  and
|
Solution
|
|
341
|
Basic-Algebra
|
|
Simple
word problem on proportions
|
|
Solution
|
|
342
|
Basic-Algebra
|
|
Fractions:
|
|
Solution
|
|
343
|
Basic-Algebra
|
|
Equivalent
fractions
|
|
Solution
|
|
344
|
Basic-Algebra
|
|
Reduced
fraction
|
Write the fraction  in simplest form
|
Solution
|
|
345
|
Basic-Algebra
|
|
Addition or subtraction of fractions with the same denominator
|
|
Solution
|
|
346
|
Basic-Algebra
|
|
Addition or subtraction of fractions with different
denominators
|
|
Solution
|
|
347
|
Basic-Algebra
|
|
The reciprocal of a number
|
Find the reciprocals of the
numbers below.
The
reciprocal of  is 
The reciprocal of  is
|
Solution
|
|
348
|
Basic-Algebra
|
|
Product of a unit fraction and a whole number
|
What is  of 
|
Solution
|
|
349
|
Basic-Algebra
|
|
Unit fraction multiplication
|
|
Solution
|
|
350
|
Basic-Algebra
|
|
Product of a fraction and a whole number
|
  
|
Solution
|
|
351
|
Basic-Algebra
|
|
Fraction multiplication
|
|
Solution
|
|
352
|
Basic-Algebra
|
|
Fraction division
|
|
Solution
|
|
353
|
Basic-Algebra
|
|
Word problem with fractions
|
There
were  runners
to start a race. In the first half of the race,  of them dropped out. In the
second half of the race,  of the remaining runners
dropped out. How many runners finished the race?
|
Solution
|
|
354
|
Basic-Algebra
|
|
Writing an improper fraction as a mixed number
|
Rewrite  as a mixed number
|
Solution
|
|
355
|
Basic-Algebra
|
|
Writing a mixed number as an improper fraction
|
Write  as an improper fraction
|
Solution
|
|
356
|
Basic-Algebra
|
|
Addition of mixed numbers with same denominator and carry
|
|
Solution
|
|
357
|
Basic-Algebra
|
|
Subtraction of mixed
numbers with same denominator and borrowing
!!
|
|
Solution
|
|
358
|
Basic-Algebra
|
|
Addition or subtraction of
numbers with different denominators
|
|
Solution
|
|
359
|
Basic-Algebra
|
|
Mixed number multiplication: Problem type 1
|
|
Solution
|
|
360
|
Basic-Algebra
|
|
Mixed number division
|
Divide.
Write your answer as a fraction or a mixed number in simplest form.
|
Solution
|
|
361
|
Basic-Algebra
|
|
Decimals:
|
|
Solution
|
|
362
|
Basic-Algebra
|
|
Decimal place value
|
|
Solution
|
|
363
|
Basic-Algebra
|
|
Rounding decimals
|
Round  to the nearest tenth
|
Solution
|
|
364
|
Basic-Algebra
|
|
Converting a decimal to a fraction
|
Write  as a fraction in simplest form
|
Solution
|
|
365
|
Basic-Algebra
|
|
Converting a fraction to a terminating decimal
|
Write  as a decimal
|
Solution
|
|
366
|
Basic-Algebra
|
|
Converting a fraction to a repeating decimal
|
Write  as a decimal. If necessary,
use a bar to indicate which digit or group of
digits repeats.
|
Solution
|
|
367
|
Basic-Algebra
|
|
Converting a mixed number to a decimal
|
Write  as a decimal
|
Solution
|
|
368
|
Basic-Algebra
|
|
Multiplication of a decimal by a power of ten
|
|
Solution
|
|
369
|
Basic-Algebra
|
|
Multiplication of a decimal by a whole number
|
|
Solution
|
|
370
|
Basic-Algebra
|
|
Decimal multiplication: Problem type 1
|
|
Solution
|
|
371
|
Basic-Algebra
|
|
Division of a decimal by a power of ten
|
|
Solution
|
|
372
|
Basic-Algebra
|
|
Division of a decimal by a whole number
|
|
Solution
|
|
373
|
Basic-Algebra
|
|
Decimal division
|
|
Solution
|
|
374
|
Basic-Algebra
|
|
Word problem with one decimal operation: Problem type 1
|
John
filled his gas tank three times last week. Here are the amounts of gas he
bought (in gallons).
 ,  , 
What
is the total amount of gas John bought last week?
|
Solution
|
|
375
|
Basic-Algebra
|
|
Word problem with one decimal operation: Problem type 2
|
Selma has a rope that is  meters
long. She cuts away a piece that is  meters long. How long is the
remaining piece of rope?
|
Solution
|
|
376
|
Basic-Algebra
|
|
Word problem using decimal addition and multiplication
|
A company
sent Christmas cards to its valued customers for 2002. They sent three
different types of cards that they had purchased for various prices. Ninety
of the cards they sent cost  each. Forty-two of them cost  each. And  of
them cost  each. These costs include the
envelopes and the postage. What was the total amount spent on these cards?
|
Solution
|
|
377
|
Basic-Algebra
|
|
Word problem using decimal subtraction and division
|
Today,
 office
workers went for lunch. Their bill was  , including tax and
gratuity. One of them ordered only soda. His share was only  . The remaining workers
ordered the same daily special. How much did each of the remaining workers
pay?
|
Solution
|
|
378
|
Basic-Algebra
|
|
Percents:
|
|
Solution
|
|
379
|
Basic-Algebra
|
|
Converting
between percentages and decimals
|
|
Solution
|
|
380
|
Basic-Algebra
|
|
Converting
a percentage to a fraction
|
Write
 as a fraction in simplest form.
|
Solution
|
|
381
|
Basic-Algebra
|
|
Converting
a fraction to a percentage
|
Write  as a percentage
|
Solution
|
|
382
|
Basic-Algebra
|
|
Percentage
of a whole number
|
|
Solution
|
|
383
|
Basic-Algebra
|
|
Writing
a ratio as a percentage
|
Chris is
riding on a bike course that is  miles
long. So far, he has ridden miles
of the course. What percentage of the
course has Chris ridden so far?
|
Solution
|
|
384
|
Basic-Algebra
|
|
Word
problem on percentage: Problem type 1
|
An
item regularly priced at  is on sale at a discount of  . What is the sale
price of the item?
|
Solution
|
|
385
|
Basic-Algebra
|
|
Word
problem on percentage: Problem type 2
|
A sofa is
on sale for  off. The sale price is  .
|
Solution
|
|
386
|
Basic-Algebra
|
|
problem
on percentage: Problem type 3
|
The price of a gallon
of unleaded gas was  yesterday. Today, the price
fell to  . Find the percentage
decrease. Round your answer to the nearest tenth of a percent.
|
Solution
|
|
387
|
Basic-Algebra
|
|
Simple
interest
|
Julia deposits  into an account that pays
simple interest at a rate of  per
year. How much interest will she be paid in the first years?
|
Solution
|
|
388
|
Basic-Algebra
|
|
Geometry:
|
x y z
|
Solution
|
|
389
|
Basic-Algebra
|
|
Supplementary
and complementary angles
|
a)An angle measures  . What is the measure
of its complement?
(b)
b) An
angle measures  . What is the measure
of its supplement?
|
Solution
|
|
390
|
Basic-Algebra
|
|
Perimeter of a square or a rectangle
|
|
Solution
|
|
391
|
Basic-Algebra
|
|
Perimeter of a polygon
|
|
Solution
|
|
392
|
Basic-Algebra
|
|
Area of a square or a rectangle
|
LxW=y
|
Solution
|
|
393
|
Basic-Algebra
|
|
Area of a triangle
|
A= .5hb
|
Solution
|
|
394
|
Basic-Algebra
|
|
Circumference and area of a circle
|
Find
the circumference and the area of a circle with radius  .
Use the value  for  , and do not round your
responses. Be sure to include the correct units in your responses.
|
Solution
|
|
395
|
Basic-Algebra
|
|
Volume of a cube or a rectangular prism
|
A rectangle
|
Solution
|
|
396
|
Basic-Algebra
|
|
Volume of a cylinder
|
A
grain silo has a cylindrical shape. Its diameter is  , and its height is  . What is the volume of grain that
can be stored in the silo?
(Use the value for , and round your answer
to the nearest cubic foot. Be sure to include the correct unit in your
answer.)
|
Solution
|
|
397
|
Basic-Algebra
|
|
Data analysis:
|
|
Solution
|
|
398
|
Basic-Algebra
|
|
Mean and median of a data set
|
The students
in Mr. Butler's class were asked how many minutes it takes them to get to
school in the morning. Here is what they answered:
(a)
Find
the median travel time for
these students.
(b)
Find
the mean travel time for
these students.
If
necessary, round your answers to
the nearest tenth.
|
Solution
|
|
399
|
Basic-Algebra
|
|
Interpreting bar graphs
|
A local
school has  clubs.
The number of students in each club is shown in the bar graph below. Using this
bar graph, answer the questions.
|
Solution
|
|
400
|
Basic-Algebra
|
|
Computations from circle graphs
|
The circle
graph shows how the annual budget for a company is divided by department. If
the amount budgeted for Sales, Support, and Editorial combined is  , what is the total
annual budget?
The
circle graph shows how a family spends its annual income. If the total annual
income is  , what amount is
budgeted for Food and Entertainment combined?
|
Solution
|
|
401
|
Basic-Algebra
|
|
Interpreting circle graphs or pie charts
|
|
Each
person in a community was asked, "What is your favorite type of
pet?" The circle graph below summarizes their answers.
|
|
Solution
|
|
402
|
Basic-Algebra
|
|
Linear equations &
inequalities
|
|
Solution
|
|
403
|
Basic-Algebra
|
|
Linear equations
|
|
|
|
404
|
Basic-Algebra
|
|
Additive property of equality: Problem type 1
|
|
Solution
|
|
405
|
Basic-Algebra
|
|
Additive property of equality: Problem type 2
|
|
Solution
|
|
406
|
Basic-Algebra
|
|
Additive property of equality: Problem type 3
|
|
Solution
|
|
407
|
Basic-Algebra
|
|
Additive property of equality with decimals
|
|
Solution
|
|
408
|
Basic-Algebra
|
|
Additive property of equality with fractions
|
|
Solution
|
|
409
|
Basic-Algebra
|
|
Multiplicative property of equality: Problem type 1
|
|
Solution
|
|
410
|
Basic-Algebra
|
|
Multiplicative property of equality: Problem type 2
|
|
Solution
|
|
411
|
Basic-Algebra
|
|
Multiplicative property of equality with fractions
|
Linda
needs to memorize words on a vocabulary list for German class. She has
memorized  of
the words, which is four-fifths of the list. How many words are on her
list?
|
Solution
|
|
412
|
Basic-Algebra
|
|
Using two steps to solve an equation
|
|
Solution
|
|
413
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 1
|
|
Solution
|
|
414
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 2
|
|
Solution
|
|
415
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 3
|
Find
the value of  given that
 .
|
Solution
|
|
416
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
 .
|
Solution
|
|
417
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of
the variable: Problem type 2
|
|
Solution
|
|
418
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
Solution
|
|
419
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
Solution
|
|
420
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
Solution
|
|
421
|
Basic-Algebra
|
|
Inequalities:
|
|
|
|
422
|
Basic-Algebra
|
|
Writing an inequality
|
Write
the algebraic expression
for the following sentence.
 is greater than or equal to
|
Solution
|
|
423
|
Basic-Algebra
|
|
Writing a compound inequality
|
"
is less than or equal to  ,
and is
less than "
as an algebraic expression.
|
Solution
|
|
424
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 1
|
Solve the inequality for  .
|
Solution
|
|
425
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 2
|
 for u
|
Solution
|
|
426
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 3
|
for  .
|
Solution
|
|
427
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 4
|
|
Solution
|
|
428
|
Basic-Algebra
|
|
Graphing a linear inequality on the number line
|
|
Solution
|
|
429
|
Basic-Algebra
|
|
Graphing a compound linear inequality on the number line
|
Graph
the portion of the number line containing
all points for which
 and  .
|
Solution
|
|
430
|
Basic-Algebra
|
|
Applications:
|
|
Solution
|
|
431
|
Basic-Algebra
|
|
Translating sentences into equations
|
Translate
this sentence into an equation.
is the sum of and
Diane's savings .
Use the
variable  to
represent Diane's savings.
|
Solution
|
|
432
|
Basic-Algebra
|
|
Introduction to algebraic symbol manipulation
|
|
Solution
|
|
433
|
Basic-Algebra
|
|
Algebraic symbol manipulation
|
The
final velocity  of an object is given by the
equation
 ,
where
 is the object's initial
velocity,  is
its acceleration, and  is
the duration of the acceleration.
Solve for .
|
Solution
|
|
434
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 1
|
A
local hamburger shop sold a combined total of  hamburgers
and cheeseburgers on Tuesday. There were  more
cheeseburgers sold than hamburgers. How many hamburgers were sold on
Tuesday?
|
Solution
|
|
435
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 2
|
A
small publishing company is planning to publish a new book. The production
costs will include one-time fixed costs (such as editing) and variable
costs (such as printing). The one-time fixed costs will amount to  . The variable costs
will be  per book. The publisher will
sell the finished product to bookstores at a price of  per book. How many books must
the publisher print and sell so that the production costs will equal the
money obtained from sales?
|
Solution
|
|
436
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 3
|
Rita received a  gift card for a coffee store.
She used it in buying some coffee that cost  per pound. After buying the
coffee, she had  left on her card. How many
pounds of coffee did she buy?
|
Solution
|
|
437
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 4
|
Jenny's
penny bank is  full. After she removes  pennies,
it is full. How many pennies can
Jenny's bank hold?
|
Solution
|
|
438
|
Basic-Algebra
|
|
Finding the value for a new score that will yield a given mean
|
Brad has
scored  , ,
and  on
his previous three tests. What score does he need on his next test so that
his average (mean) is  ?
|
Solution
|
|
439
|
Basic-Algebra
|
|
Sum of the angle measures of a triangle
|
Find the
value of  triangle
38’ 40’ X
|
Solution
|
|
440
|
Basic-Algebra
|
|
Vertical angles and linear pairs
|
Given the figure
below, find the values of and
 .
|
Solution
|
|
441
|
Basic-Algebra
|
|
Finding the side length of a rectangle given its perimeter or
area
|
The perimeter of a square painting is  centimeters.
How long is each side?
|
Solution
|
|
442
|
Basic-Algebra
|
|
Area and perimeter of a rectangle
|
The
length of a rectangle is  longer than its width. If the
perimeter of the
rectangle is  , find its area.
|
Solution
|
|
443
|
Basic-Algebra
|
|
Word problem with linear inequalities
|
The
sum of two numbers is less than or equal to  .
The second number is less
than the first. What are the possible values for the first of the two
numbers?
In your answer,
denote the first number by .
|
Solution
|
|
444
|
Basic-Algebra
|
|
Integer exponents &
polynomials
|
|
Solution
|
|
445
|
Basic-Algebra
|
|
Exponents:
|
|
Solution
|
|
446
|
Basic-Algebra
|
|
Product rule of exponents
|
 .
|
Solution
|
|
447
|
Basic-Algebra
|
|
Quotients of expressions involving exponents
|
 .
|
Solution
|
|
448
|
Basic-Algebra
|
|
Writing a positive number without a negative exponent
|
 .
|
Solution
|
|
449
|
Basic-Algebra
|
|
Writing a negative number without a negative exponent
|
 .
|
Solution
|
|
450
|
Basic-Algebra
|
|
Power rule: Positive exponents
|
|
Solution
|
|
451
|
Basic-Algebra
|
|
Power rule: Negative exponents
|
|
Simplify.
Write
your answer without using negative exponents.
|
|
|
|
Solution
|
|
452
|
Basic-Algebra
|
|
Multiplying monomials
|
|
Perform
the following multiplications.
Simplify
your answer as much as possible.
|
|
|
Solution
|
|
453
|
Basic-Algebra
|
|
Product rule of exponents in a multivariate monomial
|
|
Simplify:
.
Write
your answer without using negative exponents.
|
|
|
|
Solution
|
|
454
|
Basic-Algebra
|
|
Ordering numbers with positive exponents
|
|
Solution
|
|
455
|
Basic-Algebra
|
|
Ordering numbers with negative exponents
|
|
Solution
|
|
456
|
Basic-Algebra
|
|
Scientific notation with positive exponent
|
|
Solution
|
|
457
|
Basic-Algebra
|
|
Scientific notation with negative exponent
|
|
Solution
|
|
458
|
Basic-Algebra
|
|
Multiplying and dividing numbers written in scientific
notation
|
|
Solution
|
|
459
|
Basic-Algebra
|
|
Polynomial
arithmetic
|
|
Solution
|
|
460
|
Basic-Algebra
|
|
Combining
like terms: Advanced
|
|
Solution
|
|
461
|
Basic-Algebra
|
|
Simplifying
a polynomial expression
|
|
Solution
|
|
462
|
Basic-Algebra
|
|
Multiplying
two binomials
|
|
Solution
|
|
463
|
Basic-Algebra
|
|
Squaring
a binomial
|
|
Solution
|
|
464
|
Basic-Algebra
|
|
Multiplying
polynomials
|
|
Solution
|
|
465
|
Basic-Algebra
|
|
Degree
of a multivariate polynomial
|
|
Solution
|
|
466
|
Basic-Algebra
|
|
Polynomial
long division: Linear divisor
|
|
Solution
|
|
467
|
Basic-Algebra
|
|
Polynomial
long division: Quadratic divisor
|
|
Solution
|
|
468
|
Basic-Algebra
|
|
Factoring:
|
|
|
|
469
|
Basic-Algebra
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
470
|
Basic-Algebra
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
471
|
Basic-Algebra
|
|
Factoring a perfect square
|
|
|
|
472
|
Basic-Algebra
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
473
|
Basic-Algebra
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
474
|
Basic-Algebra
|
|
Factoring a difference of squares
|
|
|
|
475
|
Basic-Algebra
|
|
Factoring with repeated use of the difference of squares
Solution
|
|
|
|
476
|
Basic-Algebra
|
|
Greatest common factor of two monomials
|
|
|
|
477
|
Basic-Algebra
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
478
|
Basic-Algebra
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
479
|
Basic-Algebra
|
|
Factoring a sum or difference of two cubes
|
|
|
|
480
|
Basic-Algebra
|
|
Radicals &
rational exponents
|
|
|
|
481
|
Basic-Algebra
|
|
Square roots
|
|
|
|
482
|
Basic-Algebra
|
|
Square root of a rational perfect square
|
|
|
|
483
|
Basic-Algebra
|
|
Square root of a perfect square monomial
|
|
|
|
484
|
Basic-Algebra
|
|
Square root simplification
|
|
|
|
485
|
Basic-Algebra
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
486
|
Basic-Algebra
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
487
|
Basic-Algebra
|
|
Square root addition
|
|
|
|
488
|
Basic-Algebra
|
|
Simplifying a sum of radical expressions
|
|
|
|
489
|
Basic-Algebra
|
|
Square root multiplication
|
|
|
|
490
|
Basic-Algebra
|
|
Simplifying a product of radical expressions
|
|
|
|
491
|
Basic-Algebra
|
|
Simplifying a product of radical expressions using the
distributive property
|
|
|
|
492
|
Basic-Algebra
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
493
|
Basic-Algebra
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
494
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
495
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
496
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
497
|
Basic-Algebra
|
|
Pythagoras
theorem
|
|
|
|
498
|
Basic-Algebra
|
|
Pythagorean
Theorem
|
|
|
|
499
|
Basic-Algebra
|
|
Rational
exponents:
|
|
|
|
500
|
Basic-Algebra
|
|
Cube
root of an integer
|
|
|
|
501
|
Basic-Algebra
|
|
Simplifying
a higher radical: Problem type 1
|
|
|
|
502
|
Basic-Algebra
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
503
|
Basic-Algebra
|
|
Even root property
|
|
|
|
504
|
Basic-Algebra
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
505
|
Basic-Algebra
|
|
Real numbers & variables
|
|
|
|
506
|
Basic-Algebra
|
|
Integers and rational numbers
|
Y -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
N -78.41
|
solution
|
|
507
|
Basic-Algebra
|
|
Plotting rational numbers on a number line
|
|
|
|
508
|
Basic-Algebra
|
|
Integer addition: Problem type 1
|
|
|
|
509
|
Basic-Algebra
|
|
Integer addition: Problem type 2
|
|
|
|
510
|
Basic-Algebra
|
|
Integer subtraction
|
|
|
|
511
|
Basic-Algebra
|
|
Integer multiplication and division
|
|
|
|
512
|
Basic-Algebra
|
|
Signed fraction addition
|
|
Solution
|
|
513
|
Basic-Algebra
|
|
Signed fraction multiplication
|
|
|
|
514
|
Basic-Algebra
|
|
Signed decimal addition
|
|
|
|
515
|
Basic-Algebra
|
|
Introduction to exponents
|
|
|
|
516
|
Basic-Algebra
|
|
Evaluating expressions with exponents: Problem type 1
|
|
|
|
517
|
Basic-Algebra
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
518
|
Basic-Algebra
|
|
Exponents and order of operations
|
|
Solution
|
|
519
|
Basic-Algebra
|
|
Square root of a perfect square
|
|
|
|
520
|
Basic-Algebra
|
|
Estimating a square root
|
|
|
|
521
|
Basic-Algebra
|
|
Absolute value of a number
|
|
|
|
522
|
Basic-Algebra
|
|
Properties
of real numbers:
|
|
|
|
523
|
Basic-Algebra
|
|
Integers
and rational numbers
|
|
|
|
524
|
Basic-Algebra
|
|
Rational
and irrational numbers
|
Classify
each number below as a rational number or an irrational number.
|
Solution
|
|
525
|
Basic-Algebra
|
|
Properties
of addition
|
|
[1] Commutative Property
|
|
[2] Associative Property
|
|
[3] Additive Identity Property
|
|
[4] Additive Inverse Property
|
|
Solution
|
|
526
|
Basic-Algebra
|
|
Properties
of real numbers
|
|
|
|
527
|
Basic-Algebra
|
|
Variables
and algebraic expressions:
|
|
|
|
528
|
Basic-Algebra
|
|
Evaluation
of a linear expression in two variables
|
|
|
|
529
|
Basic-Algebra
|
|
Evaluation
of a polynomial in one variable
|
|
|
|
530
|
Basic-Algebra
|
|
Distributive
property: Basic
|
 .
|
Solution
|
|
531
|
Basic-Algebra
|
|
Distributive
Property: Advanced
|
remove
the parentheses from the following expression.
|
Solution
|
|
532
|
Basic-Algebra
|
|
Combining
like terms: Basic
|
|
|
|
533
|
Basic-Algebra
|
|
Writing
a mathematical expression
|
Write an algebraic expression to
answer the question below.
How many hours are
there in days?
|
Solution
|
|
534
|
Basic-Algebra
|
|
Functions, lines, systems of equations
|
|
|
|
535
|
Basic-Algebra
|
|
Sets,
relations, and functions:
|
|
|
|
536
|
Basic-Algebra
|
|
Set
builder notation
|
|
|
|
537
|
Basic-Algebra
|
|
Function
tables
|
|
|
|
538
|
Basic-Algebra
|
|
Graphing
integer functions
|
|
|
|
539
|
Basic-Algebra
|
|
Domain
and range: Problem type 1
|
|
|
|
540
|
Basic-Algebra
|
|
Vertical
line test
|
|
|
|
541
|
Basic-Algebra
|
|
Graphing
linear equations and inequalities:
|
|
|
|
542
|
Basic-Algebra
|
|
Reading
a point in the coordinate plane
|
|
|
|
543
|
Basic-Algebra
|
|
Plotting
a point in the coordinate plane
|
|
|
|
544
|
Basic-Algebra
|
|
Graphing a line given the x-and y-intercepts
|
|
|
|
545
|
Basic-Algebra
|
|
Graphing a line given its equation in slope-intercept form
|
|
|
|
546
|
Basic-Algebra
|
|
Graphing a line given its equation in standard form
|
The use of a graph is needed.
|
Solution
|
|
547
|
Basic-Algebra
|
|
Graphing a line through a given point with a given slope
|
|
|
|
548
|
Basic-Algebra
|
|
Graphing a vertical or horizontal line
|
|
|
|
549
|
Basic-Algebra
|
|
Graphing a linear inequality in the plane: Problem type 1
|
|
|
|
550
|
Basic-Algebra
|
|
Graphing a linear inequality in the plane: Problem type 2
|
|
|
|
551
|
Basic-Algebra
|
|
Writing equations and drawing graphs to fit a narrative
|
Owners of a recreation area are filling a small pond with
water. They are adding water at a rate of liters
per minute. There are  liters
in the pond to start.
Let  represent
the amount of water in the pond (in liters), and let  represent
the number of minutes that water has been added. Write an equation relating to
,
and then graph your equation
using the axes below.
Graph needed
|
Solution
|
|
552
|
Basic-Algebra
|
|
Properties of lines
|
|
|
|
553
|
Basic-Algebra
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
Solution
|
|
554
|
Basic-Algebra
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
555
|
Basic-Algebra
|
|
Y-intercept of a line
|
|
|
|
556
|
Basic-Algebra
|
|
X-and y-intercepts of a line given the equation in standard
form
|
Find both the  -intercept
and the  -intercept
of the line given by the
equation
 .
|
Solution
|
|
557
|
Basic-Algebra
|
|
Finding the slope of a line given its equation
|
|
|
|
558
|
Basic-Algebra
|
|
Determining the slope of a line given its graph
|
|
|
|
559
|
Basic-Algebra
|
|
Writing an equation of a line given the y-intercept and a
point
|
|
|
|
560
|
Basic-Algebra
|
|
Writing the equation of a line given the slope and a point on
the line
|
A line passes through the
point  and has a slope of .
Write an equation for this line.
|
Solution
|
|
561
|
Basic-Algebra
|
|
Writing the equation of the line through two given points
|
|
|
|
562
|
Basic-Algebra
|
|
Writing the equations of vertical and horizontal lines through
a given point
|
Write equations for the vertical and the horizontal lines passing through
the point  in  -coordinates.
Vertical x =
Horizontal y =
|
Solution
|
|
563
|
Basic-Algebra
|
|
Application problem with a linear function: Problem type 1
|
|
|
|
564
|
Basic-Algebra
|
|
Application problem with a linear function: Problem type 2
|
|
|
|
565
|
Basic-Algebra
|
|
Slopes of parallel and perpendicular lines: Problem type 1
|
|
|
|
566
|
Basic-Algebra
|
|
Slopes of parallel and perpendicular lines: Problem type 2
|
|
|
|
567
|
Basic-Algebra
|
|
Interpreting line graphs
|
|
|
|
568
|
Basic-Algebra
|
|
Interpreting the graphs of two functions
|
|
|
|
569
|
Basic-Algebra
|
|
Systems of linear equations
|
|
|
|
570
|
Basic-Algebra
|
|
Classifying a system of linear equations
|
|
|
|
571
|
Basic-Algebra
|
|
Solving a system of linear equations
|
|
|
|
572
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
573
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
574
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
575
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 4
|
|
|
|
576
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
577
|
Basic-Algebra
|
|
Graphing a system of linear inequalities
|
|
|
|
578
|
Basic-Algebra
|
|
Rational expressions & proportions
|
|
|
|
579
|
Basic-Algebra
|
|
Simplifying expressions:
|
|
|
|
580
|
Basic-Algebra
|
|
Multiplying rational
expressions: Problem type 1
|
|
|
|
581
|
Basic-Algebra
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
582
|
Basic-Algebra
|
|
Dividing rational expressions
|
|
|
|
583
|
Basic-Algebra
|
|
Complex fraction: Problem type 1
|
|
|
|
584
|
Basic-Algebra
|
|
Adding rational expressions with common denominator
|
|
|
|
585
|
Basic-Algebra
|
|
Adding rational expressions
|
|
|
|
586
|
Basic-Algebra
|
|
Least common multiple of two monomials
|
|
|
|
587
|
Basic-Algebra
|
|
Adding rational expressions with different denominators
|
|
|
|
588
|
Basic-Algebra
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
589
|
Basic-Algebra
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
590
|
Basic-Algebra
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
591
|
Basic-Algebra
|
|
Ratio of multivariate polynomials
|
|
|
|
592
|
Basic-Algebra
|
|
Solving equations:
|
|
|
|
593
|
Basic-Algebra
|
|
Solving a proportion: Basic
|
|
|
|
594
|
Basic-Algebra
|
|
Solving a proportion: Advanced
|
|
|
|
595
|
Basic-Algebra
|
|
Restriction on variable in a denominator
|
|
|
|
596
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
597
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
598
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
599
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
600
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
601
|
Basic-Algebra
|
|
Applications
|
|
|
|
602
|
Basic-Algebra
|
|
Basic word problem on rates
|
|
|
|
603
|
Basic-Algebra
|
|
Word problem on rates
|
|
|
|
604
|
Basic-Algebra
|
|
Word problem involving multiple rates
|
|
|
|
605
|
Basic-Algebra
|
|
Word problem on proportions: Problem type 1
|
|
|
|
606
|
Basic-Algebra
|
|
Word problem on proportions: Problem type 2
|
|
|
|
607
|
Basic-Algebra
|
|
Word problem on inverse proportions
|
|
|
|
608
|
Basic-Algebra
|
|
Word problem on direct variation
|
|
|
|
609
|
Basic-Algebra
|
|
Word problem on inverse variation
|
|
|
|
610
|
Basic-Algebra
|
|
Similar polygons
|
|
|
|
611
|
Basic-Algebra
|
|
Metric distance conversion with whole number values
|
|
|
|
612
|
Basic-Algebra
|
|
Customary unit conversion with whole number values
|
|
|
|
613
|
Basic-Algebra
|
|
Complex numbers &
quadratic equations
|
|
|
|
614
|
Basic-Algebra
|
|
Quadratic equations and functions
|
|
|
|
615
|
Basic-Algebra
|
|
Graphing
|
|
|
|
616
|
Basic-Algebra
|
|
Arithmetic readiness
|
|
|
|
617
|
Basic-Algebra
|
|
Whole
numbers:
|
|
|
|
618
|
Basic-Algebra
|
|
Order
of operations: Problem type 1
|
|
|
|
619
|
Basic-Algebra
|
|
Order
of operations: Problem type:2
|
|
|
|
620
|
Basic-Algebra
|
|
Factors
|
|
|
|
621
|
Basic-Algebra
|
|
Prime
numbers
|
|
|
|
622
|
Basic-Algebra
|
|
Prime
number factorization
|
|
|
|
623
|
Basic-Algebra
|
|
Greatest
common factor
|
|
|
|
624
|
Basic-Algebra
|
|
Least
common multiple
|
|
|
|
625
|
Basic-Algebra
|
|
Simple
word problem on proportions
|
|
|
|
626
|
Basic-Algebra
|
|
Fractions:
|
|
|
|
627
|
Basic-Algebra
|
|
Equivalent
fractions
|
|
|
|
628
|
Basic-Algebra
|
|
Reduced
fraction
|
|
|
|
629
|
Basic-Algebra
|
|
Addition or subtraction of fractions with the same
denominators
|
|
|
|
630
|
Basic-Algebra
|
|
Addition or subtraction of fractions with different
denominators
|
|
|
|
631
|
Basic-Algebra
|
|
The reciprocal of a number
|
|
|
|
632
|
Basic-Algebra
|
|
Product of a unit fraction and a whole number
|
|
|
|
633
|
Basic-Algebra
|
|
Unit fraction multiplication
|
|
|
|
634
|
Basic-Algebra
|
|
Product of a fraction and a whole number
|
|
|
|
635
|
Basic-Algebra
|
|
Fraction multiplication
|
|
|
|
636
|
Basic-Algebra
|
|
Fraction division
|
|
|
|
637
|
Basic-Algebra
|
|
Word problem with fractions
|
|
|
|
638
|
Basic-Algebra
|
|
Writing an improper fraction as a mixed number
|
|
|
|
639
|
Basic-Algebra
|
|
Writing a mixed number as an improper fraction
|
|
|
|
640
|
Basic-Algebra
|
|
Addition of mixed numbers with same denominator and carry
|
|
|
|
641
|
Basic-Algebra
|
|
Subtraction of mixed
numbers with same denominator and borrowing
|
|
|
|
642
|
Basic-Algebra
|
|
Addition or subtraction of mixed numbers with different denominators
|
|
|
|
643
|
Basic-Algebra
|
|
Mixed number multiplication: Problem type 1
|
|
|
|
644
|
Basic-Algebra
|
|
Mixed number division
|
|
|
|
645
|
Basic-Algebra
|
|
Decimals:
|
|
|
|
646
|
Basic-Algebra
|
|
Decimal place value
|
|
|
|
647
|
Basic-Algebra
|
|
Rounding decimals
|
|
|
|
648
|
Basic-Algebra
|
|
Converting a decimal to a fraction
|
|
|
|
649
|
Basic-Algebra
|
|
Converting a fraction to a terminating decimal
|
|
|
|
650
|
Basic-Algebra
|
|
Converting a fraction to a repeating decimal
|
|
|
|
651
|
Basic-Algebra
|
|
Converting a mixed number to a decimal
|
|
|
|
652
|
Basic-Algebra
|
|
Multiplication of a decimal by a power of ten
|
|
|
|
653
|
Basic-Algebra
|
|
Multiplication of a decimal by a whole number
|
|
|
|
654
|
Basic-Algebra
|
|
Decimal multiplication: Problem type 1
|
|
|
|
655
|
Basic-Algebra
|
|
Division of a decimal by a power of ten
|
|
|
|
656
|
Basic-Algebra
|
|
Division of a decimal by a whole number
|
|
|
|
657
|
Basic-Algebra
|
|
Decimal division
|
|
|
|
658
|
Basic-Algebra
|
|
Word problem with one decimal operation: Problem type 1
|
|
|
|
659
|
Basic-Algebra
|
|
Word problem with one decimal operation: Problem type 2
|
|
|
|
660
|
Basic-Algebra
|
|
Word problem using decimal addition and multiplication
|
|
|
|
661
|
Basic-Algebra
|
|
Word problem using decimal subtraction and division
|
|
|
|
662
|
Basic-Algebra
|
|
Percents:
|
|
|
|
663
|
Basic-Algebra
|
|
Converting
between percentages and decimals
|
|
|
|
664
|
Basic-Algebra
|
|
Converting
a percentage to a fraction
|
|
|
|
665
|
Basic-Algebra
|
|
Converting
a fraction to a percentage
|
|
|
|
666
|
Basic-Algebra
|
|
Percentage
of a whole number
|
|
|
|
667
|
Basic-Algebra
|
|
Writing
a ratio as a percentage
|
|
|
|
668
|
Basic-Algebra
|
|
Word
problem on percentage: Problem type 1
|
|
|
|
669
|
Basic-Algebra
|
|
Word
problem on percentage: Problem type 2
|
|
|
|
670
|
Basic-Algebra
|
|
Word
problem on percentage: Problem type 3
|
|
The price of a gallon of unleaded gas was  yesterday. Today,
the price fell to  . Find the percentage
decrease. Round your answer to the nearest tenth of a percent.
|
|
|
|
|
|
Solution
|
|
671
|
Basic-Algebra
|
|
Simple
interest
|
|
|
|
672
|
Basic-Algebra
|
|
Geometry:
|
|
|
|
673
|
Basic-Algebra
|
|
Supplementary
and complementary angles
|
|
|
|
674
|
Basic-Algebra
|
|
Perimeter of a square or a rectangle
|
|
|
|
675
|
Basic-Algebra
|
|
Perimeter of a polygon
|
|
|
|
676
|
Basic-Algebra
|
|
Area of a square or a rectangle
|
|
|
|
677
|
Basic-Algebra
|
|
Area of a triangle
|
|
|
|
678
|
Basic-Algebra
|
|
Circumference and area of a circle
|
|
|
|
679
|
Basic-Algebra
|
|
Volume of a cube or a rectangular prism
|
|
|
|
680
|
Basic-Algebra
|
|
Volume of a cylinder
|
|
|
|
681
|
Basic-Algebra
|
|
Data analysis
|
|
|
|
682
|
Basic-Algebra
|
|
Mean and median of a data set
|
|
|
|
683
|
Basic-Algebra
|
|
Interpreting bar graphs
|
|
|
|
684
|
Basic-Algebra
|
|
Computations from circle graphs
|
|
|
|
685
|
Basic-Algebra
|
|
Interpreting circle graphs or pie charts
|
|
|
|
686
|
Basic-Algebra
|
|
Linear equations &
inequalities
|
|
|
|
687
|
Basic-Algebra
|
|
Linear equations
|
|
|
|
688
|
Basic-Algebra
|
|
Additive property of equality: Problem type 1
|
|
|
|
689
|
Basic-Algebra
|
|
Additive property of equality: Problem type 2
|
|
|
|
690
|
Basic-Algebra
|
|
Additive property of equality: Problem type 3
|
|
|
|
691
|
Basic-Algebra
|
|
Additive property of equality with decimals
|
|
|
|
692
|
Basic-Algebra
|
|
Additive property of equality with fractions
|
|
|
|
693
|
Basic-Algebra
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
694
|
Basic-Algebra
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
695
|
Basic-Algebra
|
|
Multiplicative property of equality with fractions
|
|
|
|
696
|
Basic-Algebra
|
|
Using two steps to solve an equation
|
|
|
|
697
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 1
|
|
|
|
698
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 2
|
|
|
|
699
|
Basic-Algebra
|
|
Solving a linear equation: Problem type 3
|
|
|
|
700
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
|
|
|
701
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 2
|
|
|
|
702
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
|
|
703
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
|
|
704
|
Basic-Algebra
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
|
|
705
|
Basic-Algebra
|
|
Inequalities:
|
|
|
|
706
|
Basic-Algebra
|
|
Writing an inequality
|
|
|
|
707
|
Basic-Algebra
|
|
Writing a compound inequality
|
|
|
|
708
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 1
|
|
|
|
709
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 2
|
|
|
|
710
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 3
|
|
|
|
711
|
Basic-Algebra
|
|
Solving a linear inequality: Problem type 4
|
|
|
|
712
|
Basic-Algebra
|
|
Graphing a linear inequality on the number line
|
|
|
|
713
|
Basic-Algebra
|
|
Graphing a compound linear inequality on the number line
|
|
|
|
714
|
Basic-Algebra
|
|
Applications
|
|
|
|
715
|
Basic-Algebra
|
|
Translating sentences into equations
|
|
|
|
716
|
Basic-Algebra
|
|
Introduction to algebraic symbol manipulation
|
Tempte needed
|
Solution
|
|
717
|
Basic-Algebra
|
|
Algebraic symbol manipulation
|
|
|
|
718
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
719
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 2
|
|
|
|
720
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 3
|
|
|
|
721
|
Basic-Algebra
|
|
Solving a word problem using a linear equation: Problem type 4
|
|
|
|
722
|
Basic-Algebra
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
723
|
Basic-Algebra
|
|
Sum of the angle measures of a triangle
|
|
|
|
724
|
Basic-Algebra
|
|
Vertical angles and linear pairs
|
|
|
|
725
|
Basic-Algebra
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
726
|
Basic-Algebra
|
|
Area and perimeter of a rectangle
|
|
|
|
727
|
Basic-Algebra
|
|
Word problem 'with linear inequalities
|
|
|
|
728
|
Basic-Algebra
|
|
Integer exponents &
polynomials
|
|
|
|
729
|
Basic-Algebra
|
|
Exponents:
|
|
|
|
730
|
Basic-Algebra
|
|
Product rule of exponents
|
|
|
|
731
|
Basic-Algebra
|
|
Quotients of expressions involving exponents
|
|
|
|
732
|
Basic-Algebra
|
|
Writing a positive number without a negative exponent
|
|
|
|
733
|
Basic-Algebra
|
|
Writing a negative number without a negative exponent
|
|
|
|
734
|
Basic-Algebra
|
|
Power rule: Positive exponents
|
|
|
|
735
|
Basic-Algebra
|
|
Power rule: Negative exponents
|
|
|
|
736
|
Basic-Algebra
|
|
Multiplying monomials
|
|
|
|
737
|
Basic-Algebra
|
|
Product rule of exponents in a multivariate monomial
|
|
|
|
738
|
Basic-Algebra
|
|
Ordering numbers with positive exponents
|
|
|
|
739
|
Basic-Algebra
|
|
Ordering numbers with negative exponents
|
|
|
|
740
|
Basic-Algebra
|
|
Scientific notation with positive exponent
|
|
|
|
741
|
Basic-Algebra
|
|
Scientific notation with negative exponent
|
|
|
|
742
|
Basic-Algebra
|
|
Multiplying and dividing numbers written in scientific
notation
|
|
|
|
743
|
Basic-Algebra
|
|
Polynomial
arithmetic
|
|
|
|
744
|
Basic-Algebra
|
|
Combining
like terms: Advanced
|
|
|
|
745
|
Basic-Algebra
|
|
Simplifying
a polynomial expression
|
|
|
|
746
|
Basic-Algebra
|
|
Multiplying
two binomials
|
|
|
|
747
|
Basic-Algebra
|
|
Squaring
a binomial
|
|
|
|
748
|
Basic-Algebra
|
|
Multiplying
polynomials
|
|
|
|
749
|
Basic-Algebra
|
|
Degree
of a multivariate polynomial
|
|
|
|
750
|
Basic-Algebra
|
|
Polynomial
long division: Linear divisor
|
|
|
|
751
|
Basic-Algebra
|
|
Polynomial
long division: Quadratic divisor
|
|
|
|
752
|
Basic-Algebra
|
|
Factoring:
|
|
|
|
753
|
Basic-Algebra
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
754
|
Basic-Algebra
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
755
|
Basic-Algebra
|
|
Factoring a perfect square
|
|
|
|
756
|
Basic-Algebra
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
757
|
Basic-Algebra
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
758
|
Basic-Algebra
|
|
Factoring a difference of squares
|
|
|
|
759
|
Basic-Algebra
|
|
Factoring with repeated use of the difference of squares
Solution
|
|
|
|
760
|
Basic-Algebra
|
|
Greatest common factor of two monomials
|
|
|
|
761
|
Basic-Algebra
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
762
|
Basic-Algebra
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
763
|
Basic-Algebra
|
|
Factoring a sum or difference of two cubes
|
|
|
|
764
|
Basic-Algebra
|
|
Radicals &
rational exponents
|
|
|
|
765
|
Basic-Algebra
|
|
Square roots
|
|
|
|
766
|
Basic-Algebra
|
|
Square root of a rational perfect square
|
|
|
|
767
|
Basic-Algebra
|
|
Square root of a perfect square monomial
|
|
|
|
768
|
Basic-Algebra
|
|
Square root simplification
|
|
|
|
769
|
Basic-Algebra
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
770
|
Basic-Algebra
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
771
|
Basic-Algebra
|
|
Square root addition
|
|
|
|
772
|
Basic-Algebra
|
|
Simplifying a sum of radical expressions
|
|
|
|
773
|
Basic-Algebra
|
|
Square root multiplication
|
|
|
|
774
|
Basic-Algebra
|
|
Simplifying a product of radical expressions
|
|
|
|
775
|
Basic-Algebra
|
|
Simplifying a product of radical expressions using the
distributive property
|
|
|
|
776
|
Basic-Algebra
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
777
|
Basic-Algebra
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
778
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
779
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
780
|
Basic-Algebra
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
781
|
Basic-Algebra
|
|
Pythagoras
theorem
|
|
|
|
782
|
Basic-Algebra
|
|
Pythagorean
Theorem
|
|
|
|
783
|
Basic-Algebra
|
|
Rational
exponents
|
|
|
|
784
|
Basic-Algebra
|
|
Cube
root of an integer
|
|
|
|
785
|
Basic-Algebra
|
|
Simplifying
a higher radical: Problem type 1
|
|
|
|
786
|
Basic-Algebra
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
787
|
Basic-Algebra
|
|
Even root property
|
|
|
|
788
|
Basic-Algebra
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
789
|
Basic-Algebra
|
|
Real numbers & variables
|
|
|
|
790
|
Basic-Algebra
|
|
Integers and rational numbers:
|
|
|
|
791
|
Basic-Algebra
|
|
Plotting rational numbers on a number line
|
|
|
|
792
|
Basic-Algebra
|
|
Integer addition: Problem type 1
|
|
|
|
793
|
Basic-Algebra
|
|
Integer addition: Problem type 2
|
|
|
|
794
|
Basic-Algebra
|
|
Integer subtraction
|
|
|
|
795
|
Basic-Algebra
|
|
Integer multiplication and division
|
|
|
|
796
|
Basic-Algebra
|
|
Signed fraction addition
|
|
|
|
797
|
Basic-Algebra
|
|
Signed fraction multiplication
|
|
|
|
798
|
Basic-Algebra
|
|
Signed decimal addition
|
|
|
|
799
|
Basic-Algebra
|
|
Introduction to exponents
|
|
|
|
800
|
Basic-Algebra
|
|
Evaluating expressions with exponents: Problem type 1
|
|
|
|
801
|
Basic-Algebra
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
802
|
Basic-Algebra
|
|
Exponents and order of operations
|
|
|
|
803
|
Basic-Algebra
|
|
Square root of a perfect square
|
|
|
|
804
|
Basic-Algebra
|
|
Estimating a square root
|
|
|
|
805
|
Basic-Algebra
|
|
Absolute value of a number
|
|
|
|
806
|
Basic-Algebra
|
|
Properties
of real numbers
|
|
|
|
807
|
Basic-Algebra
|
|
Integers
and rational numbers
|
|
|
|
808
|
Basic-Algebra
|
|
Rational
and irrational numbers
|
|
|
|
809
|
Basic-Algebra
|
|
Properties
of addition
|
|
|
|
810
|
Basic-Algebra
|
|
Properties
of real numbers
|
|
|
|
811
|
Basic-Algebra
|
|
Variables
and algebraic expressions
|
|
|
|
812
|
Basic-Algebra
|
|
Evaluation
of a linear expression in two variables
|
|
|
|
813
|
Basic-Algebra
|
|
Evaluation
of a polynomial in one variable
|
|
|
|
814
|
Basic-Algebra
|
|
Distributive
property: Basic
|
|
|
|
815
|
Basic-Algebra
|
|
Distributive
Property: Advanced
|
|
|
|
816
|
Basic-Algebra
|
|
Combining
like terms: Basic
|
|
|
|
817
|
Basic-Algebra
|
|
Writing
a mathematical expression
|
|
|
|
818
|
Basic-Algebra
|
|
Functions, lines, systems of equations
|
|
|
|
819
|
Basic-Algebra
|
|
Sets,
relations, and functions:
|
|
|
|
820
|
Basic-Algebra
|
|
Set
builder notation
|
|
|
|
821
|
Basic-Algebra
|
|
Function
tables
|
|
|
|
822
|
Basic-Algebra
|
|
Graphing
integer functions
|
|
|
|
823
|
Basic-Algebra
|
|
Domain
and range: Problem type 1
|
|
|
|
824
|
Basic-Algebra
|
|
Vertical
line test
|
|
|
|
825
|
Basic-Algebra
|
|
Graphing
linear equations and inequalities
|
|
|
|
826
|
Basic-Algebra
|
|
Reading
a point in the coordinate plane
|
|
|
|
827
|
Basic-Algebra
|
|
Plotting
a point in the coordinate plane
|
|
|
|
828
|
Basic-Algebra
|
|
Graphing a line given the x-and y-intercepts
|
|
|
|
829
|
Basic-Algebra
|
|
Graphing a line given its equation in slope-intercept form
|
|
|
|
830
|
Basic-Algebra
|
|
Graphing a line given its equation in standard form
|
|
|
|
831
|
Basic-Algebra
|
|
Graphing a line through a given point with a given slope
|
|
|
|
832
|
Basic-Algebra
|
|
Graphing a vertical or horizontal line
|
|
|
|
833
|
Basic-Algebra
|
|
Graphing a linear inequality in the plane: Problem type 1
|
|
|
|
834
|
Basic-Algebra
|
|
Graphing a linear inequality in the plane: Problem type 2
|
|
|
|
835
|
Basic-Algebra
|
|
Writing equations and drawing graphs to fit a narrative
|
|
|
|
836
|
Basic-Algebra
|
|
Properties of lines:
|
|
|
|
837
|
Basic-Algebra
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
838
|
Basic-Algebra
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
839
|
Basic-Algebra
|
|
Y-intercept of a line
|
|
|
|
840
|
Basic-Algebra
|
|
X-and y-intercepts of a line given the equation in standard
form
|
|
|
|
841
|
Basic-Algebra
|
|
Finding the slope of a line given its equation
|
|
|
|
842
|
Basic-Algebra
|
|
Determining the slope of a line given its graph
|
|
|
|
843
|
Basic-Algebra
|
|
Writing an equation of a line given the y-intercept and a
point
|
|
|
|
844
|
Basic-Algebra
|
|
Writing the equation of a line given the slope and a point on
the line
|
|
|
|
845
|
Basic-Algebra
|
|
Writing the equation of the line through two given points
|
|
|
|
846
|
Basic-Algebra
|
|
Writing the equations of vertical and horizontal lines through
a given point
|
|
|
|
847
|
Basic-Algebra
|
|
Application problem with a linear function: Problem type 1
|
|
|
|
848
|
Basic-Algebra
|
|
Application problem with a linear function: Problem type 2
|
|
|
|
849
|
Basic-Algebra
|
|
Slopes of parallel and perpendicular lines: Problem type 1
|
|
|
|
850
|
Basic-Algebra
|
|
Slopes of parallel and perpendicular lines: Problem type 2
|
|
|
|
851
|
Basic-Algebra
|
|
Interpreting line graphs
|
|
|
|
852
|
Basic-Algebra
|
|
Interpreting the graphs of two functions
|
|
|
|
853
|
Basic-Algebra
|
|
Systems of linear equations
|
|
|
|
854
|
Basic-Algebra
|
|
Classifying a system of linear equations
|
|
|
|
855
|
Basic-Algebra
|
|
Solving a system of linear equations
|
|
|
|
856
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
857
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
858
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
859
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 4
|
|
|
|
860
|
Basic-Algebra
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
861
|
Basic-Algebra
|
|
Graphing a system of linear inequalities
|
|
|
|
862
|
Basic-Algebra
|
|
Simplifying expressions
|
|
|
|
863
|
Basic-Algebra
|
|
multiplying rational expressions: Problem type 1
|
|
|
|
864
|
Basic-Algebra
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
865
|
Basic-Algebra
|
|
Dividing rational expressions
|
|
|
|
866
|
Basic-Algebra
|
|
Complex fraction: Problem type 1
|
|
|
|
867
|
Basic-Algebra
|
|
Adding rational expressions with common denominator
|
|
|
|
868
|
Basic-Algebra
|
|
Adding rational expressions
|
|
|
|
869
|
Basic-Algebra
|
|
Least common multiple of two monomials
|
|
|
|
870
|
Basic-Algebra
|
|
Adding rational expressions with different denominators
|
|
|
|
871
|
Basic-Algebra
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
872
|
Basic-Algebra
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
873
|
Basic-Algebra
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
874
|
Basic-Algebra
|
|
Ratio of multivariate polynomials
|
|
|
|
875
|
Basic-Algebra
|
|
Solving equations
|
|
|
|
876
|
Basic-Algebra
|
|
Solving a proportion: Basic
|
|
|
|
877
|
Basic-Algebra
|
|
Solving a proportion: Advanced
|
|
|
|
878
|
Basic-Algebra
|
|
Restriction on variable in a denominator
|
|
|
|
879
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
880
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
881
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
882
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
883
|
Basic-Algebra
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
884
|
Basic-Algebra
|
|
Applications:
|
|
|
|
885
|
Basic-Algebra
|
|
Basic word problem on rates
|
|
|
|
886
|
Basic-Algebra
|
|
Word problem on rates
|
|
|
|
887
|
Basic-Algebra
|
|
Word problem involving multiple rates
|
|
|
|
888
|
Basic-Algebra
|
|
Word problem on proportions: Problem type 1
|
|
|
|
889
|
Basic-Algebra
|
|
Word problem on proportions: Problem type 2
|
|
|
|
890
|
Basic-Algebra
|
|
Word problem on inverse proportions
|
|
|
|
891
|
Basic-Algebra
|
|
Word problem on direct variation
|
|
|
|
892
|
Basic-Algebra
|
|
Word problem on inverse variation
|
|
|
|
893
|
Basic-Algebra
|
|
Similar polygons
|
|
|
|
894
|
Basic-Algebra
|
|
Metric distance conversion with whole number values
|
|
|
|
895
|
Basic-Algebra
|
|
Customary unit conversion with whole number values
|
|
|
|
896
|
Basic-Algebra
|
|
Complex numbers &
quadratic equations
|
|
|
|
897
|
Basic-Algebra
|
|
Quadratic equations and functions
|
|
|
|
898
|
Basic-Algebra
|
|
Solving equations written in factored form
|
|
|
|
899
|
Basic-Algebra
|
|
Finding the roots of a quadratic equation with leading
coefficient 1
|
|
|
|
900
|
Basic-Algebra
|
|
Finding the roots of a quadratic equation with leading
coefficient greater than 1
|
|
|
|
901
|
Basic-Algebra
|
|
Solving a quadratic equation needing simplification
|
|
|
|
902
|
Basic-Algebra
|
|
Solving a word problem using a quadratic equation with
rational roots
|
|
|
|
903
|
Basic-Algebra
|
|
Completing the square
|
|
|
|
904
|
Basic-Algebra
|
|
Solving a quadratic equation using the quadratic Solution
|
|
|
|
905
|
Basic-Algebra
|
|
Discriminant of a quadratic equation
|
|
|
|
906
|
Basic-Algebra
|
|
Solving a word problem using a quadratic equation with
irrational roots
|
|
|
|
907
|
Basic-Algebra
|
|
Graphing:
|
|
|
|
908
|
Basic-Algebra
|
|
Finding the x-intercept(s) and the vertex of a parabola
|
|
|
|
909
|
Basic-Algebra
|
|
Graphing a parabola: Problem type 1
|
|
|
|
910
|
Basic-Algebra
|
|
Graphing a parabola: Problem type 2
|
|
|
|
911
|
Basic-Algebra
|
|
Graphing a parabola: Problem type 3
|
|
|
