Question 1

Solve the equation.
-5(2z - 4)= 9(z + 3)

Accepted Answer

A) 47 
B) 7 
C) 12 
D) -7 
A) 47 
B) 7 
C) 12 
D) -7

Question 2

Solve. Round to the nearest tenth, if necessary.
-A company increased the number of its employees from 420 to 490. What was the percent increase in employees?

Accepted Answer

A) 16.7% 
B) 85.7% 
C) 53.8% 
D) 14.3% 
A) 16.7% 
B) 85.7% 
C) 53.8% 
D) 14.3%

Question 3

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--25 + 11 = 5x + 2 - 4x

Accepted Answer

A) 38 
B) 16 
C) -16 
D) -38 
A) 38 
B) 16 
C) -16 
D) -38

Question 4

Solve the inequality.
--5(x - 1)+ 8 $\leq$ -3(x - 0)+ 7

Accepted Answer

A)  $\{ x \mid x \geq 6 \}$ 
B)  $\{ x \mid x \geq 3 \}$ 
C)  $\{ x \mid x \geq - 3 \}$ 
D)  $\{ x \mid x \leq 3 \}$ 
A)  $\{ x \mid x \geq 6 \}$ 
B)  $\{ x \mid x \geq 3 \}$ 
C)  $\{ x \mid x \geq - 3 \}$ 
D)  $\{ x \mid x \leq 3 \}$

Question 5

Solve.
-Three times the sum of a number and -63 gives -24. Find the number.

Accepted Answer

A) -71 
B) 13 
C) -29 
D) 55 
A) -71 
B) 13 
C) -29 
D) 55

Question 6

Solve the equation.
--12 = b + 3

Accepted Answer

A) 9 
B) -15 
C) 15 
D) -9 
A) 9 
B) -15 
C) 15 
D) -9

Question 7

Solve the equation.
--7b + 2 + 5b = -3b + 7

Accepted Answer

A) 5 
B) -2 
C) -7 
D) 7 
A) 5 
B) -2 
C) -7 
D) 7

Question 8

Solve.
-If the sum of a number and two is doubled, the result is six less than three times the number. Find the number.

Accepted Answer

A) 22 
B)  $\frac { 2 } { 5 }$ 
C) 5 
D) 10 
A) 22 
B)  $\frac { 2 } { 5 }$ 
C) 5 
D) 10

Question 9

Solve the equation.
-$x + \frac { 1 } { 10 } = \frac { 9 } { 10 }$

Accepted Answer

A) 1 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 4 } { 5 }$ 
D)  $\frac { 7 } { 10 }$ 
A) 1 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 4 } { 5 }$ 
D)  $\frac { 7 } { 10 }$

Question 10

Solve the equation.
-$\frac { 2 } { 7 } \mathrm { k } = \frac { 4 } { 7 }$

Accepted Answer

A) 17 
B) 18 
C) 2 
D) 3 
A) 17 
B) 18 
C) 2 
D) 3

Question 11

Solve the equation.
-$- \frac { 1 } { 3 } x$ = 8

Accepted Answer

A) 4 
B) -3 
C) 5 
D) -24 
A) 4 
B) -3 
C) 5 
D) -24

Question 12

Write the algebraic expression described.
-In the race for Student Body President, Jose received 363 more votes than Angela. If Angela received x votes, how many votes did Jose receive?

Accepted Answer

A) (x + 363)votes 
B) (363x)votes 
C) (363 - x)votes 
D) (x - 363)votes 
A) (x + 363)votes 
B) (363x)votes 
C) (363 - x)votes 
D) (x - 363)votes

Question 13

Solve the equation.
-$\frac { 1 } { 4 } a - \frac { 1 } { 4 } = - 3$

Accepted Answer

A) -11 
B) -13 
C) 11 
D) 13 
A) -11 
B) -13 
C) 11 
D) 13

Question 14

Solve the inequality.
-$9 x + 4 - 3 x < 10 + 4 x + 8$

Accepted Answer

A)  $\{ x \mid x  11 \}$
  
C)  $\{ x \mid x  7 \}$
  
A)  $\{ x \mid x  11 \}$
  
C)  $\{ x \mid x  7 \}$

Question 15

Solve. Round answers to the nearest cent.
-A store is advertising a 35% off sale on all new DVD releases. Find the discount of a newly released DVD collectors set that regularly sells for $51.00.

Accepted Answer

A) $1.79 
B) $33.15 
C) $17.85 
D) $49.22 
A) $1.79 
B) $33.15 
C) $17.85 
D) $49.22

Question 16

Solve.
-Use the formula F = $\frac { 9 } { 5 } \mathrm { C }$  + 32 to write 15° C as degrees Fahrenheit.

Accepted Answer

A) 59° F 
B) -9.4° F 
C) 26.2° F 
D) -5° F 
A) 59° F 
B) -9.4° F 
C) 26.2° F 
D) -5° F

Question 17

Solve the equation.
--4x = -24

Accepted Answer

A) 20 
B) -20 
C) 2 
D) 6 
A) 20 
B) -20 
C) 2 
D) 6

Question 18

Solve.
-Five times the sum of some number plus 2 is equal to 8 times the number minus 17.

Accepted Answer

A) 27 
B) -9 
C) -27 
D) 9 
A) 27 
B) -9 
C) -27 
D) 9

Question 19

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-2x - 1 = 3(x - 7)

Accepted Answer

A) 22 
B) -22 
C) 20 
D) -20 
A) 22 
B) -22 
C) 20 
D) -20

Question 20

Solve.
-The code to unlock a safety deposit box is three consecutive odd integers whose sum is 87. Find the integers.

Accepted Answer

A) 27, 29, 31 
B) 29, 30, 31 
C) 29, 31, 33 
D) 28, 30, 32 
A) 27, 29, 31 
B) 29, 30, 31 
C) 29, 31, 33 
D) 28, 30, 32

Solve the equation. -5(2z - 4)= 9(z + 3)

Solve. Round to the nearest tenth, if necessary. -A company increased the number of its employees from 420 to 490. What was the percent increase in employees?

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --25 + 11 = 5x + 2 - 4x

Solve the inequality. --5(x - 1)+ 8 $\leq$ -3(x - 0)+ 7

Solve. -Three times the sum of a number and -63 gives -24. Find the number.

Solve the equation. --12 = b + 3

Solve the equation. --7b + 2 + 5b = -3b + 7

Solve. -If the sum of a number and two is doubled, the result is six less than three times the number. Find the number.

Solve the equation. - $x + \frac { 1 } { 10 } = \frac { 9 } { 10 }$

Solve the equation. - $\frac { 2 } { 7 } \mathrm { k } = \frac { 4 } { 7 }$

Solve the equation. - $- \frac { 1 } { 3 } x$ = 8

Write the algebraic expression described. -In the race for Student Body President, Jose received 363 more votes than Angela. If Angela received x votes, how many votes did Jose receive?

Solve the equation. - $\frac { 1 } { 4 } a - \frac { 1 } { 4 } = - 3$

Solve the inequality. - $9 x + 4 - 3 x < 10 + 4 x + 8$

Solve. Round answers to the nearest cent. -A store is advertising a 35% off sale on all new DVD releases. Find the discount of a newly released DVD collectors set that regularly sells for $51.00.

Solve. -Use the formula F = $\frac { 9 } { 5 } \mathrm { C }$ + 32 to write 15° C as degrees Fahrenheit.

Solve the equation. --4x = -24

Solve. -Five times the sum of some number plus 2 is equal to 8 times the number minus 17.

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -2x - 1 = 3(x - 7)

Solve. -The code to unlock a safety deposit box is three consecutive odd integers whose sum is 87. Find the integers.

The Whole Numbers

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Adding and Subtracting Fractions

Decimals

Ratio, Proportion, and Percent

Geometry

Statistics and Probability

Real Numbers and Introduction to Algebra

Graphing Equations and Inequalities

Systems of Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Roots and Radicals

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Exam 9: Equations, Inequalities, and Problem Solving