Question 1

Evaluate the formula for the given values of the variables.
-$\mathrm { d } = \mathrm { rt } ; \mathrm { r } = 57$ miles per hour, $\mathrm { t } = 5$ hours

Accepted Answer

A)  $d = \frac { 57 } { 5 }$ miles 
B)  $d = 62$ miles 
C)  $d = 570$ miles 
D)  $d = 285$ miles 
A)  $d = \frac { 57 } { 5 }$ miles 
B)  $d = 62$ miles 
C)  $d = 570$ miles 
D)  $d = 285$ miles

Question 2

Solve the equation using the addition principle.
-$$8 = z + 7$$

Accepted Answer

A)  15 
B)  $- 15$ 
C)  1 
D)  $- 1$ 
A)  15 
B)  $- 15$ 
C)  1 
D)  $- 1$

Question 3

Decide if the given number is a solution to the given equation.
-$$\mathrm { p } + 5 = 16 ; 11$$

Accepted Answer

A) True 
 B)False

Question 4

Solve using the multiplication principle.
-$$8.3 x = 58.1$$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  7 
C)  $49.8$ 
D)  $51.1$ 
A)  $\frac { 1 } { 7 }$ 
B)  7 
C)  $49.8$ 
D)  $51.1$

Question 5

Decide if the given number is a solution to the given equation.
-$$6 m + 4 = 18 ; 2$$

Accepted Answer

A) True 
 B)False

Question 6

Solve the equation using the addition principle.
-$$- 24.7 = 29.8 + x$$

Accepted Answer

A)  $- 5.1$ 
B)  $5.1$ 
C)  $54.5$ 
D)  $- 54.5$ 
A)  $- 5.1$ 
B)  $5.1$ 
C)  $54.5$ 
D)  $- 54.5$

Question 7

Solve.
-$$\text { 9.7x } - 14.8 x = - 96.9$$

Accepted Answer

A)  19 
B)  21 
C)  20 
D)  18 
A)  19 
B)  21 
C)  20 
D)  18

Question 8

Solve using the multiplication principle.
-$$- \frac { 7 } { 3 } x = - 32.27$$

Accepted Answer

A)  $13.83$ 
B)  $29.27$ 
C)  $16.39$ 
D)  $6.83$ 
A)  $13.83$ 
B)  $29.27$ 
C)  $16.39$ 
D)  $6.83$

Question 9

Solve.
-$$5 ( x + 2 ) + 12 = 2 ( x + 5 ) + 9$$

Accepted Answer

A)  $- 1$ 
B)  13 
C)  9 
D)  11 
A)  $- 1$ 
B)  13 
C)  9 
D)  11

Question 10

Solve.
-$$3 ( 2 z - 3 ) = 5 ( z + 5 )$$

Accepted Answer

A)  $- 16$ 
B)  16 
C)  34 
D)  19 
A)  $- 16$ 
B)  16 
C)  34 
D)  19

Question 11

Solve. Clear fractions first.
-$$\frac { 1 } { 3 } y - 9 = 4$$

Accepted Answer

A)  41 
B)  $- 39$ 
C)  $- 41$ 
D)  39 
A)  41 
B)  $- 39$ 
C)  $- 41$ 
D)  39

Question 12

Solve.
-$$4 ( 6 x - 10 ) = 2 ( 20 x - 12 )$$

Accepted Answer

A)  $- 8$ 
B)  $\frac { 1 } { 8 }$ 
C)  $- 1$ 
D)  1 
A)  $- 8$ 
B)  $\frac { 1 } { 8 }$ 
C)  $- 1$ 
D)  1

Question 13

Solve using the multiplication principle.
-$$53.4 = 8.9 y$$

Accepted Answer

A)  $47.4$ 
B)  6 
C)  $\frac { 1 } { 6 }$ 
D)  $44.5$ 
A)  $47.4$ 
B)  6 
C)  $\frac { 1 } { 6 }$ 
D)  $44.5$

Question 14

Solve.
-$$\frac { 1 } { 3 } ( 6 x - 12 ) = \frac { 1 } { 2 } ( 8 x - 4 )$$

Accepted Answer

A)  $- 1$ 
B)  $\frac { 1 } { 8 }$ 
C)  1 
D)  $- 8$ 
A)  $- 1$ 
B)  $\frac { 1 } { 8 }$ 
C)  1 
D)  $- 8$

Question 15

Solve. Clear decimals first.
-$$10.71 y - 64.26 + 3.06 y = 6.12 y - 36.72 + 18.36$$

Accepted Answer

A)  $- 18$ 
B)  18 
C)  6 
D)  $- 6$ 
A)  $- 18$ 
B)  18 
C)  6 
D)  $- 6$

Question 16

Solve. Clear decimals first.
-$1.1 \mathrm { y } + 2.7 = 0.7 \mathrm { y } + 0.86$

Accepted Answer

A)  $- 4.6$ 
B)  $0.217$ 
C)  $- 5.06$ 
D)  $- 4.7$ 
A)  $- 4.6$ 
B)  $0.217$ 
C)  $- 5.06$ 
D)  $- 4.7$

Question 17

Solve the equation using the addition principle.
-$$a + 1 = 3$$

Accepted Answer

A)  $- 2$ 
B)  4 
C)  $- 4$ 
D)  2 
A)  $- 2$ 
B)  4 
C)  $- 4$ 
D)  2

Question 18

Solve using the multiplication principle.
-$$49 = - 7 \mathrm { k }$$

Accepted Answer

A)  $- 7$ 
B)  1 
C)  56 
D)  $- 56$ 
A)  $- 7$ 
B)  1 
C)  56 
D)  $- 56$

Question 19

Solve using the multiplication principle.
-$$- \frac { 1 } { 5 } \mathrm { z } = \frac { 1 } { 8 }$$

Accepted Answer

A)  $- \frac { 5 } { 8 }$ 
B)  $- \frac { 8 } { 5 }$ 
C)  $- 5 \frac { 1 } { 8 }$ 
D)  $\frac { 5 } { 8 }$ 
A)  $- \frac { 5 } { 8 }$ 
B)  $- \frac { 8 } { 5 }$ 
C)  $- 5 \frac { 1 } { 8 }$ 
D)  $\frac { 5 } { 8 }$

Question 20

Solve using the multiplication principle.
-$$\frac { 1 } { 9 } \mathrm {~b} = - 3.00$$

Accepted Answer

A)  $- 27.00$ 
B)  $- 3.00$ 
C)  $6.00$ 
D)  $5.00$ 
A)  $- 27.00$ 
B)  $- 3.00$ 
C)  $6.00$ 
D)  $5.00$

Evaluate the formula for the given values of the variables. - $\mathrm { d } = \mathrm { rt } ; \mathrm { r } = 57$ miles per hour, $\mathrm { t } = 5$ hours

Solve the equation using the addition principle. - $8 = z + 7$

Decide if the given number is a solution to the given equation. - $\mathrm { p } + 5 = 16 ; 11$

Solve using the multiplication principle. - $8.3 x = 58.1$

Decide if the given number is a solution to the given equation. - $6 m + 4 = 18 ; 2$

Solve the equation using the addition principle. - $- 24.7 = 29.8 + x$

Solve. - $\text { 9.7x } - 14.8 x = - 96.9$

Solve using the multiplication principle. - $- \frac { 7 } { 3 } x = - 32.27$

Solve. - $5 ( x + 2 ) + 12 = 2 ( x + 5 ) + 9$

Solve. - $3 ( 2 z - 3 ) = 5 ( z + 5 )$

Solve. Clear fractions first. - $\frac { 1 } { 3 } y - 9 = 4$

Solve. - $4 ( 6 x - 10 ) = 2 ( 20 x - 12 )$

Solve using the multiplication principle. - $53.4 = 8.9 y$

Solve. - $\frac { 1 } { 3 } ( 6 x - 12 ) = \frac { 1 } { 2 } ( 8 x - 4 )$

Solve. Clear decimals first. - $10.71 y - 64.26 + 3.06 y = 6.12 y - 36.72 + 18.36$

Solve. Clear decimals first. - $1.1 \mathrm { y } + 2.7 = 0.7 \mathrm { y } + 0.86$

Solve the equation using the addition principle. - $a + 1 = 3$

Solve using the multiplication principle. - $49 = - 7 \mathrm { k }$

Solve using the multiplication principle. - $- \frac { 1 } { 5 } \mathrm { z } = \frac { 1 } { 8 }$

Solve using the multiplication principle. - $\frac { 1 } { 9 } \mathrm {~b} = - 3.00$

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

Evaluate the formula for the given values of the variables. - d=rt;r=57\mathrm { d } = \mathrm { rt } ; \mathrm { r } = 57d=rt;r=57 miles per hour, t=5\mathrm { t } = 5t=5 hours

Solve the equation using the addition principle. - 8=z+78 = z + 78=z+7

Decide if the given number is a solution to the given equation. - p+5=16;11\mathrm { p } + 5 = 16 ; 11p+5=16;11

Solve using the multiplication principle. - 8.3x=58.18.3 x = 58.18.3x=58.1

Decide if the given number is a solution to the given equation. - 6m+4=18;26 m + 4 = 18 ; 26m+4=18;2

Solve the equation using the addition principle. - −24.7=29.8+x- 24.7 = 29.8 + x−24.7=29.8+x

Solve. - 9.7x −14.8x=−96.9\text { 9.7x } - 14.8 x = - 96.9 9.7x −14.8x=−96.9

Solve using the multiplication principle. - −73x=−32.27- \frac { 7 } { 3 } x = - 32.27−37​x=−32.27

Solve. - 5(x+2)+12=2(x+5)+95 ( x + 2 ) + 12 = 2 ( x + 5 ) + 95(x+2)+12=2(x+5)+9

Solve. - 3(2z−3)=5(z+5)3 ( 2 z - 3 ) = 5 ( z + 5 )3(2z−3)=5(z+5)

Solve. Clear fractions first. - 13y−9=4\frac { 1 } { 3 } y - 9 = 431​y−9=4

Solve. - 4(6x−10)=2(20x−12)4 ( 6 x - 10 ) = 2 ( 20 x - 12 )4(6x−10)=2(20x−12)

Solve using the multiplication principle. - 53.4=8.9y53.4 = 8.9 y53.4=8.9y

Solve. - 13(6x−12)=12(8x−4)\frac { 1 } { 3 } ( 6 x - 12 ) = \frac { 1 } { 2 } ( 8 x - 4 )31​(6x−12)=21​(8x−4)

Solve. Clear decimals first. - 10.71y−64.26+3.06y=6.12y−36.72+18.3610.71 y - 64.26 + 3.06 y = 6.12 y - 36.72 + 18.3610.71y−64.26+3.06y=6.12y−36.72+18.36

Solve. Clear decimals first. - 1.1y+2.7=0.7y+0.861.1 \mathrm { y } + 2.7 = 0.7 \mathrm { y } + 0.861.1y+2.7=0.7y+0.86

Solve the equation using the addition principle. - a+1=3a + 1 = 3a+1=3

Solve using the multiplication principle. - 49=−7k49 = - 7 \mathrm { k }49=−7k

Solve using the multiplication principle. - −15z=18- \frac { 1 } { 5 } \mathrm { z } = \frac { 1 } { 8 }−51​z=81​

Solve using the multiplication principle. - 19 b=−3.00\frac { 1 } { 9 } \mathrm {~b} = - 3.0091​ b=−3.00