Question 1

Solve.
-5(2f - 31)= 10f - 155

Accepted Answer

A) All real numbers 
B) 0 
C) No solution 
D) 1 
A) All real numbers 
B) 0 
C) No solution 
D) 1

Question 2

Translate the sentence to an inequality.
-The number of people at a concert is not to exceed 3157.

Accepted Answer

A)  $x  3157$ 
C)  $x \leq 3157$ 
D)  $x \geq 3157$ 
A)  $x  3157$ 
C)  $x \leq 3157$ 
D)  $x \geq 3157$

Question 3

Solve the problem.
-During one year, the Larson's real estate bill included $434 for local schools. Of this amount, $125 went to the high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal Places.)

Accepted Answer

A) 12.50% 
B) 28.80% 
C) 71.20% 
D) 28.57% 
A) 12.50% 
B) 28.80% 
C) 71.20% 
D) 28.57%

Question 4

Solve the problem. Round to the nearest hundredth, if necessary.
-What is 10% of 700?

Accepted Answer

A) 70 
B) 7 
C) 0.7 
D) 700 
A) 70 
B) 7 
C) 0.7 
D) 700

Question 5

Solve using the multiplication principle.
-$- 6 a < - 24$

Accepted Answer

A)  $\{ a \mid a > 4 \}$ 
B)  $\{ a \mid a  - 4 \}$ 
A)  $\{ a \mid a > 4 \}$ 
B)  $\{ a \mid a  - 4 \}$

Question 6

Solve using the multiplication principle.
-$$\frac { 8 } { 7 } x = - \frac { 48 } { 35 }$$

Accepted Answer

A)  $- \frac { 3 } { 10 }$ 
B)  $- \frac { 32 } { 15 }$ 
C) $ - \frac { 6 } { 5 }$ 
D)  $-\frac { 15 } { 32 }$ 
A)  $- \frac { 3 } { 10 }$ 
B)  $- \frac { 32 } { 15 }$ 
C) $ - \frac { 6 } { 5 }$ 
D)  $-\frac { 15 } { 32 }$

Question 7

Solve.
-$$3 + 4 p = 5$$

Accepted Answer

A)  $\frac { 7 } { 4 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $- \frac { 1 } { 2 }$ 
A)  $\frac { 7 } { 4 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $- \frac { 1 } { 2 }$

Question 8

Solve using the multiplication principle.
-$$\frac { m } { - 2 } = 12$$

Accepted Answer

A)  $- 12$ 
B)  $- 14$ 
C)  $- 24$ 
D)  $- 22$ 
A)  $- 12$ 
B)  $- 14$ 
C)  $- 24$ 
D)  $- 22$

Question 9

Solve the problem.
-During one year, the Schmidt's real estate bill included $268 for miscellaneous services. Of this amount, 65% went to the library fund. How much money did the library receive?

Accepted Answer

A) $75.75 
B) $154.20 
C) $174.20 
D) $147.40 
A) $75.75 
B) $154.20 
C) $174.20 
D) $147.40

Question 10

Solve the problem.
-One side of a rectangle is 2 times the other, and the perimeter is not to exceed 72. Find the possible values for x, the length of the shorter side.

Accepted Answer

A)  $x \geq 24$ 
B)  $x \leq 12$ 
C)  $0 < x \leq 12$ 
D)  $0 < x \leq 24$ 
A)  $x \geq 24$ 
B)  $x \leq 12$ 
C)  $0 < x \leq 12$ 
D)  $0 < x \leq 24$

Question 11

Solve using the multiplication principle.
-$$\frac { 3 } { 5 } k = 6$$

Accepted Answer

A)  8 
B)  1 
C)  10 
D)  7 
A)  8 
B)  1 
C)  10 
D)  7

Question 12

Solve using the multiplication principle.
-$- 2 x < \frac { 2 } { 7 }$

Accepted Answer

A)  $\left\{ x \mid x  \frac { 4 } { 7 } \right\}$ 
C)  $\left\{ x \mid x  - \frac { 1 } { 7 } \right\}$ 
A)  $\left\{ x \mid x  \frac { 4 } { 7 } \right\}$ 
C)  $\left\{ x \mid x  - \frac { 1 } { 7 } \right\}$

Question 13

Solve.
-$$2 [ 3 - ( 4 - 5 r ) ] - r = - 8 + 3 ( 2 + 3 r )$$

Accepted Answer

A)  All real numbers 
B)  No solution 
C)  $- 4$ 
D)  8 
A)  All real numbers 
B)  No solution 
C)  $- 4$ 
D)  8

Question 14

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 2089 is 24?

Accepted Answer

A) 1.1% 
B) 11.5% 
C) 21.5% 
D) 8704.2% 
A) 1.1% 
B) 11.5% 
C) 21.5% 
D) 8704.2%

Question 15

Solve the equation using the addition principle.
-$$x + \frac { 7 } { 9 } = \frac { 8 } { 9 }$$

Accepted Answer

A)  1 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 1 } { 9 }$ 
D)  $\frac { 7 } { 9 }$ 
A)  1 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 1 } { 9 }$ 
D)  $\frac { 7 } { 9 }$

Question 16

Solve using the multiplication principle.
-$$\frac { 1 } { 13 } b = - 4.34$$

Accepted Answer

A)  $7.66$ 
B)  $8.66$ 
C)  $- 3.00$ 
D)  $- 56.42$ 
A)  $7.66$ 
B)  $8.66$ 
C)  $- 3.00$ 
D)  $- 56.42$

Question 17

Solve the problem. Round to the nearest hundredth, if necessary.
-10% of what number is 91?

Accepted Answer

A) 91 
B) 9100 
C) 9.1 
D) 910 
A) 91 
B) 9100 
C) 9.1 
D) 910

Question 18

Solve using the multiplication principle.
-5.7x = 22.8

Accepted Answer

A) $\frac{1}{4}$ 
B) 18.8 
C) 17.1 
D) 4 
A) $\frac{1}{4}$ 
B) 18.8 
C) 17.1 
D) 4

Question 19

Solve the problem. Round to the nearest hundredth, if necessary.
-What is 89% of 442?

Accepted Answer

A) 393.38 
B) 39.34 
C) 3933.8 
D) 39,338 
A) 393.38 
B) 39.34 
C) 3933.8 
D) 39,338

Question 20

Solve using the multiplication principle.
-$$\frac { x } { 2 } + 9 \leq 7$$

Accepted Answer

A)  $\{ x \mid x < - 2 \}$ 
B)  $\{ x \mid x \geq - 4 \}$ 
C)  $\{ x \mid x \leq - 4 \}$ 
D)  $\{ x \mid x \leq 4 \}$ 
A)  $\{ x \mid x < - 2 \}$ 
B)  $\{ x \mid x \geq - 4 \}$ 
C)  $\{ x \mid x \leq - 4 \}$ 
D)  $\{ x \mid x \leq 4 \}$

Solve. -5(2f - 31)= 10f - 155

Translate the sentence to an inequality. -The number of people at a concert is not to exceed 3157.

Solve the problem. -During one year, the Larson's real estate bill included $434 for local schools. Of this amount, $125 went to the high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal Places.)

Solve the problem. Round to the nearest hundredth, if necessary. -What is 10% of 700?

Solve using the multiplication principle. - $- 6 a < - 24$

Solve using the multiplication principle. - $\frac { 8 } { 7 } x = - \frac { 48 } { 35 }$

Solve. - $3 + 4 p = 5$

Solve using the multiplication principle. - $\frac { m } { - 2 } = 12$

Solve the problem. -During one year, the Schmidt's real estate bill included $268 for miscellaneous services. Of this amount, 65% went to the library fund. How much money did the library receive?

Solve the problem. -One side of a rectangle is 2 times the other, and the perimeter is not to exceed 72. Find the possible values for x, the length of the shorter side.

Solve using the multiplication principle. - $\frac { 3 } { 5 } k = 6$

Solve using the multiplication principle. - $- 2 x < \frac { 2 } { 7 }$

Solve. - $2 [ 3 - ( 4 - 5 r ) ] - r = - 8 + 3 ( 2 + 3 r )$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 2089 is 24?

Solve the equation using the addition principle. - $x + \frac { 7 } { 9 } = \frac { 8 } { 9 }$

Solve using the multiplication principle. - $\frac { 1 } { 13 } b = - 4.34$

Solve the problem. Round to the nearest hundredth, if necessary. -10% of what number is 91?

Solve using the multiplication principle. -5.7x = 22.8

Solve the problem. Round to the nearest hundredth, if necessary. -What is 89% of 442?

Solve using the multiplication principle. - $\frac { x } { 2 } + 9 \leq 7$

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

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Exam 2: Solving Equations and Inequalities