|
912
|
|
|
Intermediate Algebra
|
|
|
|
913
|
|
|
Real numbers &
linear equations
|
|
|
|
914
|
|
|
Real
numbers
|
|
|
|
915
|
|
|
Solving
linear equations
|
|
|
|
916
|
|
|
Applications
of linear equations
|
|
|
|
917
|
|
|
Absolute
value
|
|
|
|
918
|
|
|
Systems of linear equations
|
|
|
|
919
|
|
|
Solving
and graphing
|
|
|
|
920
|
|
|
Applications
|
|
|
|
921
|
|
|
Rational expressions & functions
|
|
|
|
922
|
|
|
Simplifying
expressions
|
|
|
|
923
|
|
|
Solving
equations
|
|
|
|
924
|
|
|
Applications
|
|
|
|
925
|
|
|
Direct
and inverse variations
|
|
|
|
926
|
|
|
Functions &
logarithms
|
|
|
|
927
|
|
|
Functions
|
|
|
|
928
|
|
|
Laws
of logarithms
|
|
|
|
929
|
|
|
Solving
equations
|
|
|
|
930
|
|
|
Graphing
|
|
|
|
931
|
|
|
Graphs &
linear functions
|
|
|
|
932
|
|
|
Ordered
pairs
|
|
|
|
933
|
|
|
Graphing
lines
|
|
|
|
934
|
|
|
Equations
of lines
|
|
|
|
935
|
|
|
Inequalities
in two variables
|
|
|
|
936
|
|
|
Sets,
Relations, and Functions Exponents & polynomials
|
|
|
|
937
|
|
|
Integer
and rational exponents
|
|
|
|
938
|
|
|
Manipulating
polynomial expressions
|
|
|
|
939
|
|
|
Factoring
Radicals & quadratic equations
|
|
|
|
940
|
|
|
Radicals
and rational exponents
|
|
|
|
941
|
|
|
Complex
numbers
|
|
|
|
942
|
|
|
Quadratic
equations
|
|
|
|
943
|
|
|
Parabolas
Real numbers & linear
equations
|
|
|
|
944
|
|
|
Real
numbers:
|
|
|
|
945
|
|
|
Plotting rational numbers on a number line
|
|
|
|
946
|
|
|
Absolute value of a number
|
|
|
|
947
|
|
|
Operations with absolute value
|
|
|
|
948
|
|
|
Signed fraction addition
|
|
|
|
949
|
|
|
Signed fraction multiplication
|
|
|
|
950
|
|
|
Signed decimal addition
|
|
|
|
951
|
|
|
Evaluating expressions with, exponents: Problem type 1
|
|
|
|
952
|
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
953
|
|
|
Evaluation of a linear expression in two variables
|
|
|
|
954
|
|
|
Evaluation of a polynomial in one variable
|
|
|
|
955
|
|
|
Exponents and order of operations
|
|
|
|
956
|
|
|
Square root of a perfect square
|
|
|
|
957
|
|
|
Integers and rational numbers
|
|
|
|
958
|
|
|
Rational and irrational numbers
|
|
|
|
959
|
|
|
Writing a mathematical expression
|
|
|
|
960
|
|
|
Translating sentences into equations
|
|
|
|
961
|
|
|
Writing an inequality
|
|
|
|
962
|
|
|
Writing a compound inequality
|
|
|
|
963
|
|
|
Distributive property: Basic
|
|
|
|
964
|
|
|
Distributive Property: Advanced
|
|
|
|
965
|
|
|
Combining like terms: Basic
|
|
|
|
966
|
|
|
Combining like terms: Advanced
|
|
|
|
967
|
|
|
Properties of addition
|
|
|
|
968
|
|
|
Properties of real numbers
|
|
|
|
969
|
|
|
Solving linear equations
|
|
|
|
970
|
|
|
Additive property of equality: Problem type 2
|
|
|
|
971
|
|
|
Additive property of equality: Problem type 3
|
|
|
|
972
|
|
|
Multiplicative property of equality with fractions
|
|
|
|
973
|
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
974
|
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
975
|
|
|
Solving a linear equation: Problem type 1
|
|
|
|
976
|
|
|
Solving a linear equation: Problem type 2
|
|
|
|
977
|
|
|
Solving a linear equation: Problem type 3
|
|
|
|
978
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
|
|
|
979
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 2
|
|
|
|
980
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
|
|
981
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
|
|
982
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
|
|
983
|
|
|
Introduction to algebraic symbol manipulation
|
|
|
|
984
|
|
|
Algebraic symbol manipulation
|
|
|
|
985
|
|
|
Solving a linear inequality: Problem type 1
|
|
|
|
986
|
|
|
Solving a linear inequality: Problem type 2
|
|
|
|
987
|
|
|
Solving a linear inequality: Problem type 3
|
|
|
|
988
|
|
|
Solving a linear inequality: Problem type 4
|
|
|
|
989
|
|
|
Graphing a linear inequality on the number line
|
|
|
|
990
|
|
|
Graphing a compound linear inequality on the number line
|
|
|
|
991
|
|
|
Applications of linear equations
|
|
|
|
992
|
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
993
|
|
|
Solving a word problem using a linear equation: Problem type 2
|
|
|
|
994
|
|
|
Solving a word problem using a linear equation: Problem type 3
|
|
|
|
995
|
|
|
Solving a word problem using a linear equation: Problem type 4
|
|
|
|
996
|
|
|
Word problem ",1.th linear inequalities
|
|
|
|
997
|
|
|
Random samples and prediction
|
|
|
|
998
|
|
|
Simple interest
|
|
|
|
999
|
|
|
Computations from circle graphs
|
|
|
|
1000
|
|
|
Word problem on percentage: Problem type 1
|
|
|
|
1001
|
|
|
Word problem on percentage: Problem type 2
|
|
|
|
1002
|
|
|
Word problem on percentage: Problem type 3
|
|
|
|
1003
|
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
1004
|
|
|
Perimeter of a square or a rectangle
|
|
|
|
1005
|
|
|
Sides of polygons having the same perimeter
|
|
|
|
1006
|
|
|
Area of a square or a rectangle
|
|
|
|
1007
|
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
1008
|
|
|
Area and perimeter of a rectangle
|
|
|
|
1009
|
|
|
Volume of a cube or a rectangular prism
|
|
|
|
1010
|
|
|
Circumference and area of a circle
|
|
|
|
1011
|
|
|
Area between two concentric circles
|
|
|
|
1012
|
|
|
Surface area of a cube or a rectangular prism
|
|
|
|
1013
|
|
|
Surface area of a cylinder
|
|
|
|
1014
|
|
|
Volume of a cylinder
|
|
|
|
1015
|
|
|
Rate of filling of a solid
|
|
|
|
1016
|
|
|
Absolute value
|
|
|
|
1017
|
|
|
Simple absolute value equation
|
|
|
|
1018
|
|
|
Solving an equation involving absolute value: Basic
|
|
|
|
1019
|
|
|
Solving an equation involving absolute value: Advanced
|
|
|
|
1020
|
|
|
Solving an inequality involving absolute value
|
|
|
|
1021
|
|
|
Solving an inequality involving absolute value: Basic
|
|
|
|
1022
|
|
|
Systems of linear equations
|
|
|
|
1023
|
|
|
Solving
and graphing
|
|
|
|
1024
|
|
|
Classifying
a system of linear equations
|
|
|
|
1025
|
|
|
Solving
a system of linear equations
|
|
|
|
1026
|
|
|
Creating
an inconsistent system of linear equations
|
|
|
|
1027
|
|
|
Interpreting
the graphs of two functions
|
|
|
|
1028
|
|
|
Graphing
a system of linear inequalities
|
|
|
|
1029
|
|
|
Applications:
|
|
|
|
1030
|
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
1031
|
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
1032
|
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
1033
|
|
|
Solving a word problem using a system of linear equations:
Problem type 4
|
|
|
|
1034
|
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
1035
|
|
|
Rational expressions & functions
|
|
|
|
1036
|
|
|
Simplifying expressions
|
|
|
|
1037
|
|
|
Multiplying rational expressions: Problem type 1
|
|
|
|
1038
|
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
1039
|
|
|
Dividing rational expressions
|
|
|
|
1040
|
|
|
Complex fraction: Problem type 1
|
|
|
|
1041
|
|
|
Complex Fraction: Problem type 2
|
|
|
|
1042
|
|
|
Adding rational expressions with common denominator
|
|
|
|
1043
|
|
|
Adding rational expressions
|
|
|
|
1044
|
|
|
Adding rational expressions with different denominators
|
|
|
|
1045
|
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
1046
|
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
1047
|
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
1048
|
|
|
Simplifying a ratio of polynomials: Problem type 2
|
|
|
|
1049
|
|
|
Solving equations
|
|
|
|
1050
|
|
|
Restriction on variable in a denominator
|
|
|
|
1051
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
1052
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
1053
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
1054
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
1055
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
1056
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 3
|
|
|
|
1057
|
|
|
Applications:
|
|
|
|
1058
|
|
|
Word
problem on rates
|
|
|
|
1059
|
|
|
Basic
word problem on rates
|
|
|
|
1060
|
|
|
Solving
a proportion: Advanced
|
|
|
|
1061
|
|
|
Word
problem on proportions: Problem type 1
|
|
|
|
1062
|
|
|
Word
problem on proportions: Problem type 2
|
|
|
|
1063
|
|
|
Word
problem involving multiple rates
|
|
|
|
1064
|
|
|
Direct
and inverse variations:
|
|
|
|
1065
|
|
|
Ordering
fractions with variables
|
|
|
|
1066
|
|
|
Word
problem on inverse proportions
|
|
|
|
1067
|
|
|
Similar
polygons
|
|
|
|
1068
|
|
|
Word
problem on direct variation
|
|
|
|
1069
|
|
|
Word
problem on inverse variation
|
|
|
|
1070
|
|
|
Ratio
of volumes
|
|
|
|
1071
|
|
|
Circumference ratios
|
|
|
|
1072
|
|
|
Functions &
logarithms
|
|
|
|
4073
|
|
|
Functions:
|
|
|
|
1074
|
|
|
Sum, difference, and product of two functions
|
|
|
|
1075
|
|
|
Quotient of two functions
|
|
|
|
1076
|
|
|
Domain of a square root function
|
|
|
|
1077
|
|
|
Vertical translation of the graph of a function
|
|
|
|
1078
|
|
|
Vertical and horizontal translations of the graph of a
function
|
|
|
|
1079
|
|
|
Horizontal line test
|
|
|
|
1080
|
|
|
Inverse functions: Basic
|
|
|
|
1081
|
|
|
Inverse functions: Advanced
|
|
|
|
1082
|
|
|
Composition of two functions: Domain and range
|
|
|
|
1083
|
|
|
Composition of two functions: Basic
|
|
|
|
1084
|
|
|
Composition of two functions: Advanced
|
|
|
|
1085
|
|
|
Laws
of logarithms:
|
|
|
|
1086
|
|
|
Exponential
and logarithmic equations
|
|
|
|
1087
|
|
|
Evaluating
a logarithmic expression
|
|
|
|
1088
|
|
|
Basic
properties of logarithms
|
|
|
|
1089
|
|
|
Change
of base for logarithms
|
|
|
|
1090
|
|
|
Solving
equations:
|
|
|
|
1091
|
|
|
Solving
a logarithmic equation: Problem type 1
|
|
|
|
1092
|
|
|
Solving
a logarithmic equation: Problem type 2
|
|
|
|
1093
|
|
|
Solving
an exponential equation: Problem type 1
|
|
|
|
1094
|
|
|
Solving
an exponential equation: Problem type 2
|
|
|
|
1095
|
|
|
Solving
a word problem using an exponential equation: Problem type 1
|
|
|
|
1096
|
|
|
Solving
a word problem using an exponential equation: Problem type 2
|
|
|
|
1097
|
|
|
Solving
a word problem using an exponential equation: Problem type 3
|
|
|
|
1098
|
|
|
Graphing:
|
|
|
|
1099
|
|
|
Graphing
a simple cubic function
|
|
|
|
1100
|
|
|
Graphing
an equation involving absolute value in the plane
|
|
|
|
1101
|
|
|
Sketching
the graph of an exponential function: Basic
|
|
|
|
1102
|
|
|
Graphs &
linear functions
|
|
|
|
1103
|
|
|
Ordered pairs
|
|
|
|
1104
|
|
|
Reading a point in the coordinate plane
|
|
|
|
1105
|
|
|
Plotting a point in the coordinate plane
|
|
|
|
1106
|
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
1107
|
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
1108
|
|
|
Graphing
lines
|
|
|
|
1109
|
|
|
Graphing
a line given the x-and y-intercepts
|
|
|
|
1110
|
|
|
Graphing
a line given its equation in slope-intercept form
|
|
|
|
1111
|
|
|
Graphing
a line given its equation in standard form
|
|
|
|
1112
|
|
|
Graphing
a line through a given point with a given slope
|
|
|
|
1113
|
|
|
Determining
the slope of a line given its graph
|
|
|
|
1114
|
|
|
Graphing
a vertical or horizontal line
|
|
|
|
1115
|
|
|
Equations
of lines
|
|
|
|
1116
|
|
|
X-and
y-intercepts of a line given the equation in standard form
|
|
|
|
1117
|
|
|
Finding
the slope of a line given its equation
|
|
|
|
1118
|
|
|
Writing
an equation of a line given the y-intercept and a point
|
|
|
|
1119
|
|
|
Writing
the equation of a line given the slope and a point on the line
|
|
|
|
1120
|
|
|
Writing
the equation of the line through two given points
|
|
|
|
1121
|
|
|
Writing
the equations of vertical and horizontal lines through a given point
|
|
|
|
1122
|
|
|
Writing
equations and drawing graphs to fit a narrative
|
|
|
|
1123
|
|
|
Application
problem with a linear function: Problem type 1
|
|
|
|
1124
|
|
|
Application
problem with a linear function: Problem type 2
|
|
|
|
1125
|
|
|
Slopes
of parallel and perpendicular lines: Problem type 1
|
|
|
|
1126
|
|
|
Slopes
of parallel and perpendicular lines: Problem type 2
|
|
|
|
1127
|
|
|
Inequalities
in two variables:
|
|
|
|
1128
|
|
|
Graphing
a linear inequality in the plane: Problem type 1
|
|
|
|
1129
|
|
|
Graphing
a linear inequality in the plane: Problem type 2
|
|
|
|
1130
|
|
|
Sets,
Relations, and Functions:
|
|
|
|
1131
|
|
|
Set builder notation
|
|
|
|
1132
|
|
|
Union and intersection of finite sets
|
|
|
|
1133
|
|
|
Set builder and interval notation
|
|
|
|
1134
|
|
|
Union and intersection of intervals
|
|
|
|
1135
|
|
|
Function tables
|
|
|
|
1136
|
|
|
Graphing integer functions
|
|
|
|
1137
|
|
|
Domain and range: Problem type 1
|
|
|
|
1138
|
|
|
Domain and range: Problem type 2
|
|
|
|
1139
|
|
|
Vertical line test
|
|
|
|
1140
|
|
|
Exponents &
polynomials
|
|
|
|
1141
|
|
|
Integer and rational exponents
|
|
|
|
1142
|
|
|
Product rule of exponents
|
|
|
|
1143
|
|
|
Multiplying monomials
|
|
|
|
1144
|
|
|
Quotients of expressions involving exponents
|
|
|
|
1145
|
|
|
Power rule: Positive exponents
|
|
|
|
1146
|
|
|
Writing a positive number without a negative exponent
|
|
|
|
1147
|
|
|
Writing a negative number without a negative exponent
|
|
|
|
1148
|
|
|
Power rule: Negative exponents
|
|
|
|
1149
|
|
|
Product rule of exponents in a multivariate monomial
|
|
|
|
1150
|
|
|
Ordering numbers with positive exponents
|
|
|
|
1151
|
|
|
Ordering numbers with negative exponents
|
|
|
|
1152
|
|
|
Scientific notation with positive exponent
|
|
|
|
1153
|
|
|
Scientific notation with negative exponent
|
|
|
|
1154
|
|
|
Multiplying and dividing numbers Written in scientific
notation
|
|
|
|
1155
|
|
|
Manipulating polynomial expressions:
|
|
|
|
1156
|
|
|
Degree of a multivariate polynomial
|
|
|
|
1157
|
|
|
Simplifying a polynomial expression
|
|
|
|
1158
|
|
|
Multiplying two binomials
|
|
|
|
1159
|
|
|
Squaring a binomial
|
|
|
|
1160
|
|
|
Multiplying polynomials
|
|
|
|
1161
|
|
|
Polynomial long division: Linear divisor
|
|
|
|
1162
|
|
|
Polynomial long division: Quadratic divisor
|
|
|
|
1163
|
|
|
Synthetic division
|
|
|
|
1164
|
|
|
Factoring:
|
|
|
|
1165
|
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
1166
|
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
1167
|
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
1168
|
|
|
Factoring a perfect square
|
|
|
|
1169
|
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
1170
|
|
|
Finding the roots of a quadratic equation with leading
coefficient 1
|
|
|
|
1171
|
|
|
Finding the roots of a quadratic equation with leading
coefficient greater than 1
|
|
|
|
1172
|
|
|
Solving a quadratic equation needing simplification
|
|
|
|
1173
|
|
|
Solving equations written in factored form
|
|
|
|
1174
|
|
|
Roots of a product of polynomials
|
|
|
|
1175
|
|
|
Solving a word problem using a quadratic equation with
rational roots
|
|
|
|
1176
|
|
|
Writing a quadratic equation given the roots and the leading
coefficient
|
|
|
|
1177
|
|
|
Factoring a difference of squares
|
|
|
|
1178
|
|
|
Factoring with repeated use of the difference of squares
Solution
|
|
|
|
1179
|
|
|
Factoring a sum or difference of two cubes
|
|
|
|
1180
|
|
|
Greatest common factor of two monomials
|
|
|
|
1181
|
|
|
Least common multiple of two monomials
|
|
|
|
1182
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
1183
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
1184
|
|
|
Radicals & quadratic equations
|
|
|
|
1185
|
|
|
Radicals and rational exponents:
|
|
|
|
1186
|
|
|
Square root of a rational perfect square
|
|
|
|
1187
|
|
|
Square root simplification
|
|
|
|
1188
|
|
|
Square root of a perfect square monomial
|
|
|
|
1189
|
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
1190
|
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
1191
|
|
|
Square root addition
|
|
|
|
1192
|
|
|
Simplifying a sum of radical expressions
|
|
|
|
1193
|
|
|
Square root multiplication
|
|
|
|
1194
|
|
|
Simplifying a product of radical expressions
|
|
|
|
1195
|
|
|
Simplifying a product of radical expressions: Problem type 3
|
|
|
|
1196
|
|
|
Simplifying a product of radical expressions using the distributive
property
|
|
|
|
1197
|
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
1198
|
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
1199
|
|
|
Pythagorean Theorem
|
|
|
|
1200
|
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
1201
|
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
1202
|
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
1203
|
|
|
Solving an equation with radicals: Problem type 4
|
|
|
|
1204
|
|
|
Cube root of an integer
|
|
|
|
1205
|
|
|
Simplifying a higher radical: Problem type 1
|
|
|
|
1206
|
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
1207
|
|
|
Even root property
|
|
|
|
1208
|
|
|
Odd root property
|
|
|
|
1209
|
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
1210
|
|
|
Solving an equation with exponent using the odd-root property
|
|
|
|
1211
|
|
|
Rational exponents: Basic
|
|
|
|
1212
|
|
|
Rational exponents: Negative exponents and fractional bases
|
|
|
|
1213
|
|
|
Rational exponents: Powers of powers
|
|
|
|
1214
|
|
|
Converting between radical form and exponent form
|
|
|
|
1215
|
|
|
Solving an equation with positive rational exponent
|
|
|
|
1216
|
|
|
Solving an equation with negative rational exponent
|
|
|
|
1217
|
|
|
Complex
numbers:
|
|
|
|
1218
|
|
|
Adding and subtracting complex numbers
|
|
|
|
1219
|
|
|
Multiplying
complex numbers
|
|
|
|
1220
|
|
|
Dividing
complex numbers
|
|
|
|
1221
|
|
|
Simplifying
a power of I
|
|
|
|
1222
|
|
|
Quadratic
equations:
|
|
|
|
1223
|
|
|
Completing
the square
|
|
|
|
1224
|
|
|
Solving
a quadratic equation using the quadratic Solution
|
|
|
|
1225
|
|
|
Solving
a quadratic equation with imaginary roots
|
|
|
|
1226
|
|
|
Discriminant
of a quadratic equation
|
|
|
|
1227
|
|
|
Discriminant
of a quadratic equation with parameter
|
|
|
|
1228
|
|
|
Solving
a word problem using a quadratic equation with irrational roots
|
|
|
|
1229
|
|
|
Solving
a quadratic inequality
|
|
|
|
1230
|
|
|
Parabolas:
|
|
|
|
1231
|
|
|
Graphing a parabola: Problem type 1
|
|
|
|
1232
|
|
|
Graphing a parabola: Problem type 2
|
|
|
|
1233
|
|
|
Graphing a parabola: Problem type 3
|
|
|
|
1234
|
|
|
Finding the x-intercept(s) and the vertex of a parabola
|
|
|
|
1235
|
|
|
Graphing a quadratic inequality
|
|
|
