Question 1

Solve. Clear decimals first.
-$$5.52 y - 38.64 + 9.2 y = 11.04 y - 77.28 + 64.4$$

Accepted Answer

A)  $- 21$ 
B)  7 
C)  $- 7$ 
D)  21 
A)  $- 21$ 
B)  7 
C)  $- 7$ 
D)  21

Question 2

Solve.
-7(x - 28)= 14

Accepted Answer

A) 14 
B) 26 
C) 30 
D) 28 
A) 14 
B) 26 
C) 30 
D) 28

Question 3

Solve using the addition and multiplication principles.
-$$1 - \frac { 5 } { 2 } x + 3 > \frac { x } { 2 } + 1$$

Accepted Answer

A) $\left\{ x \mid x \frac { 3 } { 2 } \right\}$ C) $\{ x \mid x > - 1 \}$ D) $\{ x \mid x < 1 \}$ A) $\left\{ x \mid x \frac { 3 } { 2 } \right\}$ C) $\{ x \mid x > - 1 \}$ D) $\{ x \mid x < 1 \}$

Question 4

Solve the problem.
-One side of a rectangle is 5 inches and the other side is x inches. What values of x will make the perimeter at most 36?

Accepted Answer

A)  $x \geq 13$ 
B)  $x \leq 13$ 
C)  $x < 13$ 
D)  $0 < x \leq 13$ 
A)  $x \geq 13$ 
B)  $x \leq 13$ 
C)  $x < 13$ 
D)  $0 < x \leq 13$

Question 5

Provide an appropriate response.
-Write the steps you would use to solve this equation: 4(x - 1)+ 7x = -2x.

Accepted Answer

To solve the equation 4(x - 1) + 7x = -2

Question 6

Solve.
-$$\mathrm { V } = 14 \mathrm {~s} ^ { 3 } \text { for } \mathrm { s } ^ { 3 }$$

Accepted Answer

A)  $s ^ { 3 } = 14 \mathrm {~V}$ 
B)  $s ^ { 3 } = V - 14$ 
C)  $s ^ { 3 } = \frac { 14 } { V }$ 
D)  $s ^ { 3 } = \frac { V } { 14 }$ 
A)  $s ^ { 3 } = 14 \mathrm {~V}$ 
B)  $s ^ { 3 } = V - 14$ 
C)  $s ^ { 3 } = \frac { 14 } { V }$ 
D)  $s ^ { 3 } = \frac { V } { 14 }$

Question 7

Solve the equation using the addition principle.
--3 = x - 5

Accepted Answer

A) -2 
B) -8 
C) 8 
D) 2 
A) -2 
B) -8 
C) 8 
D) 2

Question 8

Solve.
-$$\frac { 1 } { 4 } \mathrm { f } - 4 = 1$$

Accepted Answer

A)  $- 21$ 
B)  $- 20$ 
C)  20 
D)  21 
A)  $- 21$ 
B)  $- 20$ 
C)  20 
D)  21

Question 9

Solve the problem. Round to the nearest tenth of a percent.
-84.8 is what percent of 9?

Accepted Answer

A) 10.6% 
B) 942.2% 
C) 9422.0% 
D) 1.1% 
A) 10.6% 
B) 942.2% 
C) 9422.0% 
D) 1.1%

Question 10

Solve. Clear decimals first.
-2.88t - 20.16 = 5.76t - 40.32

Accepted Answer

A) 14 
B) -14 
C) -7 
D) 7 
A) 14 
B) -14 
C) -7 
D) 7

Question 11

Evaluate the formula for the given values of the variables.
-$\mathrm { d } = \mathrm { rt } ; \mathrm { r } = 56$ miles per hour, $\mathrm { t } = 6$ hours

Accepted Answer

A)  $\mathrm { d } = \frac { 28 } { 3 }$ miles 
B)  $d = 62$ miles 
C)  $d = 672$ miles 
D)  $\mathrm { d } = 336$ miles 
A)  $\mathrm { d } = \frac { 28 } { 3 }$ miles 
B)  $d = 62$ miles 
C)  $d = 672$ miles 
D)  $\mathrm { d } = 336$ miles

Question 12

Solve the problem.
-Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip?

Accepted Answer

A) $5.70 
B) $43.70 
C) $32.30 
D) $49.40 
A) $5.70 
B) $43.70 
C) $32.30 
D) $49.40

Question 13

Solve using the multiplication principle.
-$$- 2 x = - 14$$

Accepted Answer

A)  $- 12$ 
B)  12 
C)  7 
D)  2 
A)  $- 12$ 
B)  12 
C)  7 
D)  2

Question 14

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$$9 n + 5 > 8 n + 1$$

Accepted Answer

A)  $\{ n \mid n \geq 6 \}$
  
B)  $\{ n \mid n  - 4 \}$
  
A)  $\{ n \mid n \geq 6 \}$
  
B)  $\{ n \mid n  - 4 \}$

Question 15

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 29 is 29?

Accepted Answer

A) 0% 
B) 100% 
C) 1% 
D) 200% 
A) 0% 
B) 100% 
C) 1% 
D) 200%

Question 16

Solve. Clear fractions first.
-$$\frac { 3 } { 2 } y - 90 = - 36$$

Accepted Answer

A)  $- 36$ 
B)  3 
C)  36 
D)  84 
A)  $- 36$ 
B)  3 
C)  36 
D)  84

Question 17

Translate the sentence to an inequality.
-A number is less than or equal to -2.

Accepted Answer

A)  $x \leq - 2$ 
B)  $x \geq - 2$ 
C)  $x  - 2$ 
A)  $x \leq - 2$ 
B)  $x \geq - 2$ 
C)  $x  - 2$

Question 18

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$$x + \frac { 2 } { 11 } \geq \frac { 8 } { 11 }$$

Accepted Answer

A) $\left\{ x \mid x > \frac { 3 } { 11 } \right\}$ B) $\left\{ x \mid x \geq \frac { 6 } { 11 } \right\}$ C) $\left\{ x \mid x < \frac { 3 } { 11 } \right\}$ D) $\left\{ x \mid x \leq \frac { 6 } { 11 } \right\}$ A) $\left\{ x \mid x > \frac { 3 } { 11 } \right\}$ B) $\left\{ x \mid x \geq \frac { 6 } { 11 } \right\}$ C) $\left\{ x \mid x < \frac { 3 } { 11 } \right\}$ D) $\left\{ x \mid x \leq \frac { 6 } { 11 } \right\}$

Question 19

Solve using the multiplication principle.
--9.9y = 89.1

Accepted Answer

A) -9 
B) -79.2 
C)  $-\frac{1}{9}$ 
D) -80.1 
A) -9 
B) -79.2 
C)  $-\frac{1}{9}$ 
D) -80.1

Question 20

Solve.
-$$4 k + 30 = 2 ( 2 k + 13 )$$

Accepted Answer

A)  2 
B)  $- 2$ 
C)  No solution 
D)  All real numbers 
A)  2 
B)  $- 2$ 
C)  No solution 
D)  All real numbers

Solve. Clear decimals first. - $5.52 y - 38.64 + 9.2 y = 11.04 y - 77.28 + 64.4$

Solve. -7(x - 28)= 14

Solve using the addition and multiplication principles. - $1 - \frac { 5 } { 2 } x + 3 > \frac { x } { 2 } + 1$

Solve the problem. -One side of a rectangle is 5 inches and the other side is x inches. What values of x will make the perimeter at most 36?

Provide an appropriate response. -Write the steps you would use to solve this equation: 4(x - 1)+ 7x = -2x.

Solve. - $\mathrm { V } = 14 \mathrm {~s} ^ { 3 } \text { for } \mathrm { s } ^ { 3 }$

Solve the equation using the addition principle. --3 = x - 5

Solve. - $\frac { 1 } { 4 } \mathrm { f } - 4 = 1$

Solve the problem. Round to the nearest tenth of a percent. -84.8 is what percent of 9?

Solve. Clear decimals first. -2.88t - 20.16 = 5.76t - 40.32

Evaluate the formula for the given values of the variables. - $\mathrm { d } = \mathrm { rt } ; \mathrm { r } = 56$ miles per hour, $\mathrm { t } = 6$ hours

Solve the problem. -Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip?

Solve using the multiplication principle. - $- 2 x = - 14$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $9 n + 5 > 8 n + 1$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 29 is 29?

Solve. Clear fractions first. - $\frac { 3 } { 2 } y - 90 = - 36$

Translate the sentence to an inequality. -A number is less than or equal to -2.

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x + \frac { 2 } { 11 } \geq \frac { 8 } { 11 }$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x + \frac { 2 } { 11 } \geq \frac { 8 } { 11 }$

Solve using the multiplication principle. --9.9y = 89.1

Solve. - $4 k + 30 = 2 ( 2 k + 13 )$

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

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Radical Expressions, Equations, and Functions

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Exam 2: Solving Equations and Inequalities

Solve. Clear decimals first. - 5.52y−38.64+9.2y=11.04y−77.28+64.45.52 y - 38.64 + 9.2 y = 11.04 y - 77.28 + 64.45.52y−38.64+9.2y=11.04y−77.28+64.4