Question 1

Solve using the multiplication principle.
-$$7 x = 28$$

Accepted Answer

A)  21 
B)  4 
C)  $\frac { 1 } { 4 }$ 
D)  196 
A)  21 
B)  4 
C)  $\frac { 1 } { 4 }$ 
D)  196 B

Question 2

Solve. Clear fractions first.
-$$\frac { 3 } { 4 } + \frac { 1 } { 5 } x = 2$$

Accepted Answer

A)  $\frac { 15 } { 4 }$ 
B)  $- \frac { 5 } { 4 }$ 
C)  $- \frac { 4 } { 5 }$ 
D)  $\frac { 25 } { 4 }$ 
A)  $\frac { 15 } { 4 }$ 
B)  $- \frac { 5 } { 4 }$ 
C)  $- \frac { 4 } { 5 }$ 
D)  $\frac { 25 } { 4 }$ D

Question 3

Solve using the multiplication principle.
-$$15 = 5 x$$

Accepted Answer

A)  10 
B)  $\frac { 1 } { 3 }$ 
C)  75 
D)  3 
A)  10 
B)  $\frac { 1 } { 3 }$ 
C)  75 
D)  3 D

Question 4

Solve using the multiplication principle.
-$$\frac { - t } { 8 } = 21$$

Accepted Answer

A)  $- 168$ 
B)  $- 147$ 
C)  $- 29$ 
D)  $- 160$ 
A)  $- 168$ 
B)  $- 147$ 
C)  $- 29$ 
D)  $- 160$

Question 5

Solve.
-$$8 y - 15 = 3 y$$

Accepted Answer

A)  $\frac { 15 } { 11 }$ 
B)  $- 3$ 
C)  3 
D)  $- \frac { 15 } { 11 }$ 
A)  $\frac { 15 } { 11 }$ 
B)  $- 3$ 
C)  3 
D)  $- \frac { 15 } { 11 }$

Question 6

Solve.
-$$- 40 = - 8 x + 8$$

Accepted Answer

A)  44 
B)  $- 6$ 
C)  40 
D)  6 
A)  44 
B)  $- 6$ 
C)  40 
D)  6

Question 7

Solve.
-$$10 \mathrm { k } + 1 = 2 ( 5 \mathrm { k } - 4 )$$

Accepted Answer

A)  5 
B)  No solution 
C)  All real numbers 
D)  $- 5$ 
A)  5 
B)  No solution 
C)  All real numbers 
D)  $- 5$

Question 8

Solve using the multiplication principle.
-$$- x = - 11$$

Accepted Answer

A)  $- 10$ 
B)  $- \frac { 1 } { 11 }$ 
C)  $- 11$ 
D)  11 
A)  $- 10$ 
B)  $- \frac { 1 } { 11 }$ 
C)  $- 11$ 
D)  11

Question 9

Solve using the multiplication principle.
-$$- \frac { 3 } { 4 } x = 9.12$$

Accepted Answer

A)  $- 12.16$ 
B)  $- 8.96$ 
C)  $- 9.16$ 
D)  $- 5.12$ 
A)  $- 12.16$ 
B)  $- 8.96$ 
C)  $- 9.16$ 
D)  $- 5.12$

Question 10

Solve using the multiplication principle.
-$$- 126 = 9 z$$

Accepted Answer

A)  1 
B)  $- 135$ 
C)  $- 14$ 
D)  135 
A)  1 
B)  $- 135$ 
C)  $- 14$ 
D)  135

Question 11

Solve.
-$$5 x - 1 = 77 - 8 x$$

Accepted Answer

A)  $- 6$ 
B)  $- 26$ 
C)  $- \frac { 76 } { 3 }$ 
D)  6 
A)  $- 6$ 
B)  $- 26$ 
C)  $- \frac { 76 } { 3 }$ 
D)  6

Question 12

Solve.
-$$7 y - 5 = 49 + y$$

Accepted Answer

A)  $\frac { 22 } { 3 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $\frac { 27 } { 4 }$ 
D)  9 
A)  $\frac { 22 } { 3 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $\frac { 27 } { 4 }$ 
D)  9

Question 13

Solve.
-$$4 ( x - 16 ) = 8$$

Accepted Answer

A)  8 
B)  16 
C)  18 
D)  14 
A)  8 
B)  16 
C)  18 
D)  14

Question 14

Solve using the multiplication principle.
-$$- 37.6 = 9.4 z$$

Accepted Answer

A)  $- 28.2$ 
B)  $- 33.6$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- 4$ 
A)  $- 28.2$ 
B)  $- 33.6$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- 4$

Question 15

Solve using the multiplication principle.
-$$\frac { 5 } { 6 } = \frac { 1 } { 2 } x$$

Accepted Answer

A)  $\frac { 12 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 12 }$ 
D)  $\frac { 5 } { 3 }$ 
A)  $\frac { 12 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 12 }$ 
D)  $\frac { 5 } { 3 }$

Question 16

Solve using the multiplication principle.
-$$- 2 x = - 18$$

Accepted Answer

A)  9 
B)  16 
C)  $- 16$ 
D)  2 
A)  9 
B)  16 
C)  $- 16$ 
D)  2

Question 17

Solve.
-$$4 ( x + 6 ) - ( 4 x + 24 ) = 0$$

Accepted Answer

A)  0 
B)  6 
C)  No solution 
D)  All real numbers 
A)  0 
B)  6 
C)  No solution 
D)  All real numbers

Question 18

Solve. Clear fractions first.
-$$x + \frac { 2 } { 3 } + \frac { 9 } { 8 } x = \frac { 7 } { 2 } + \frac { 5 } { 4 } x$$

Accepted Answer

A)  $\frac { 25 } { 7 }$ 
B)  $\frac { 68 } { 21 }$ 
C)  $\frac { 70 } { 31 }$ 
D)  $\frac { 68 } { 31 }$ 
A)  $\frac { 25 } { 7 }$ 
B)  $\frac { 68 } { 21 }$ 
C)  $\frac { 70 } { 31 }$ 
D)  $\frac { 68 } { 31 }$

Question 19

Solve.
-$13.3 y - 4.9 y = 117.6$

Accepted Answer

A)  14 
B)  13 
C)  16 
D)  15 
A)  14 
B)  13 
C)  16 
D)  15

Question 20

Solve. Clear decimals first.
-$$5.12 t - 40.96 = 8.96 t - 71.68$$

Accepted Answer

A)  $- 24$ 
B)  $- 8$ 
C)  8 
D)  24 
A)  $- 24$ 
B)  $- 8$ 
C)  8 
D)  24

Solve using the multiplication principle. - $7 x = 28$

Solve. Clear fractions first. - $\frac { 3 } { 4 } + \frac { 1 } { 5 } x = 2$

Solve using the multiplication principle. - $15 = 5 x$

Solve using the multiplication principle. - $\frac { - t } { 8 } = 21$

Solve. - $8 y - 15 = 3 y$

Solve. - $- 40 = - 8 x + 8$

Solve. - $10 \mathrm { k } + 1 = 2 ( 5 \mathrm { k } - 4 )$

Solve using the multiplication principle. - $- x = - 11$

Solve using the multiplication principle. - $- \frac { 3 } { 4 } x = 9.12$

Solve using the multiplication principle. - $- 126 = 9 z$

Solve. - $5 x - 1 = 77 - 8 x$

Solve. - $7 y - 5 = 49 + y$

Solve. - $4 ( x - 16 ) = 8$

Solve using the multiplication principle. - $- 37.6 = 9.4 z$

Solve using the multiplication principle. - $\frac { 5 } { 6 } = \frac { 1 } { 2 } x$

Solve using the multiplication principle. - $- 2 x = - 18$

Solve. - $4 ( x + 6 ) - ( 4 x + 24 ) = 0$

Solve. Clear fractions first. - $x + \frac { 2 } { 3 } + \frac { 9 } { 8 } x = \frac { 7 } { 2 } + \frac { 5 } { 4 } x$

Solve. - $13.3 y - 4.9 y = 117.6$

Solve. Clear decimals first. - $5.12 t - 40.96 = 8.96 t - 71.68$

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 2: Solving Equations and Inequalities

Solve using the multiplication principle. - 7x=287 x = 287x=28

Solve. Clear fractions first. - 34+15x=2\frac { 3 } { 4 } + \frac { 1 } { 5 } x = 243​+51​x=2

Solve using the multiplication principle. - 15=5x15 = 5 x15=5x

Solve using the multiplication principle. - −t8=21\frac { - t } { 8 } = 218−t​=21

Solve. - 8y−15=3y8 y - 15 = 3 y8y−15=3y

Solve. - −40=−8x+8- 40 = - 8 x + 8−40=−8x+8

Solve. - 10k+1=2(5k−4)10 \mathrm { k } + 1 = 2 ( 5 \mathrm { k } - 4 )10k+1=2(5k−4)

Solve using the multiplication principle. - −x=−11- x = - 11−x=−11

Solve using the multiplication principle. - −34x=9.12- \frac { 3 } { 4 } x = 9.12−43​x=9.12

Solve using the multiplication principle. - −126=9z- 126 = 9 z−126=9z

Solve. - 5x−1=77−8x5 x - 1 = 77 - 8 x5x−1=77−8x

Solve. - 7y−5=49+y7 y - 5 = 49 + y7y−5=49+y

Solve. - 4(x−16)=84 ( x - 16 ) = 84(x−16)=8

Solve using the multiplication principle. - −37.6=9.4z- 37.6 = 9.4 z−37.6=9.4z

Solve using the multiplication principle. - 56=12x\frac { 5 } { 6 } = \frac { 1 } { 2 } x65​=21​x

Solve using the multiplication principle. - −2x=−18- 2 x = - 18−2x=−18

Solve. - 4(x+6)−(4x+24)=04 ( x + 6 ) - ( 4 x + 24 ) = 04(x+6)−(4x+24)=0

Solve. Clear fractions first. - x+23+98x=72+54xx + \frac { 2 } { 3 } + \frac { 9 } { 8 } x = \frac { 7 } { 2 } + \frac { 5 } { 4 } xx+32​+89​x=27​+45​x

Solve. - 13.3y−4.9y=117.613.3 y - 4.9 y = 117.613.3y−4.9y=117.6

Solve. Clear decimals first. - 5.12t−40.96=8.96t−71.685.12 t - 40.96 = 8.96 t - 71.685.12t−40.96=8.96t−71.68