Question 1

Solve the problem. Round to the nearest hundredth, if necessary.
-57 is 90% of what number?

Accepted Answer

A) 633.3 
B) 63.33 
C) 51.3 
D) 6.33 
A) 633.3 
B) 63.33 
C) 51.3 
D) 6.33 B

Question 2

Solve the problem. Round to the nearest tenth of a percent.
-4.1 is what percent of 20.9?

Accepted Answer

A) 19.6% 
B) 0.2% 
C) 509.8% 
D) 5.1% 
A) 19.6% 
B) 0.2% 
C) 509.8% 
D) 5.1% A

Question 3

Solve the problem.
-A baseball team played 156 complete games last season. They had 54 fewer wins than losses. How many games did the team win?

Accepted Answer

A) 51 games 
B) 54 games 
C) 105 games 
D) 156 games 
A) 51 games 
B) 54 games 
C) 105 games 
D) 156 games A

Question 4

Solve. Clear decimals first.
-1.4y - 3.7 = 0.6y + 2.54

Accepted Answer

A) 8.58 
B) 7.8 
C) -0.128 
D) 7.9 
A) 8.58 
B) 7.8 
C) -0.128 
D) 7.9

Question 5

Solve the problem.
-Find the measure of each angle in the triangle.

Accepted Answer

A)  $63 ^ { \circ } , 89 ^ { \circ } , 28 ^ { \circ }$ 
B)  $63 ^ { \circ } , - 1 ^ { \circ } , 28 ^ { \circ }$ 
C)  $80 ^ { \circ } , 96 ^ { \circ } , 16 ^ { \circ }$ 
D)  $27 ^ { \circ } , 89 ^ { \circ } , 28 ^ { \circ }$ 
A)  $63 ^ { \circ } , 89 ^ { \circ } , 28 ^ { \circ }$ 
B)  $63 ^ { \circ } , - 1 ^ { \circ } , 28 ^ { \circ }$ 
C)  $80 ^ { \circ } , 96 ^ { \circ } , 16 ^ { \circ }$ 
D)  $27 ^ { \circ } , 89 ^ { \circ } , 28 ^ { \circ }$

Question 6

Solve.
-156 = 14x + 16

Accepted Answer

A) 126 
B) 130 
C) 10 
D) 4 
A) 126 
B) 130 
C) 10 
D) 4

Question 7

Solve the problem.
-The sum of three consecutive integers is 516. Find the integers.

Accepted Answer

A) 170, 171, 172 
B) 172, 173, 174 
C) 170, 172, 174 
D) 171, 172, 173 
A) 170, 171, 172 
B) 172, 173, 174 
C) 170, 172, 174 
D) 171, 172, 173

Question 8

Solve the problem.
-A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?

Accepted Answer

A) more than 4200 miles 
B) more than 30,100 miles 
C) more than 58,800 miles 
D) more than 14,700 miles 
A) more than 4200 miles 
B) more than 30,100 miles 
C) more than 58,800 miles 
D) more than 14,700 miles

Question 9

Solve the problem.
-A salesperson has two job offers. Company A offers a weekly salary of $120 plus commission of 6% of sales. Company B offers a weekly salary of $240 plus commission of 3% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

Accepted Answer

A) $4000 
B) $4100 
C) $2000 
D) $8000 
A) $4000 
B) $4100 
C) $2000 
D) $8000

Question 10

Solve the problem. Round to the nearest hundredth, if necessary.
-What number is 180% of 427?

Accepted Answer

A) 76,860 
B) 768.6 
C) 7686 
D) 76.86 
A) 76,860 
B) 768.6 
C) 7686 
D) 76.86

Question 11

Solve the problem.
-One side of a rectangle is 13 inches and the other side is x inches. Find the value of x if the area must be at least 130 square inches.

Accepted Answer

A)  $0 < x \leq 10$ 
B)  $x = 10$ 
C)  $x \geq 10$ 
D)  $x \leq 10$ 
A)  $0 < x \leq 10$ 
B)  $x = 10$ 
C)  $x \geq 10$ 
D)  $x \leq 10$

Question 12

Solve using the multiplication principle.
--112 = -8n

Accepted Answer

A) 14 
B) 104 
C) 2 
D) -104 
A) 14 
B) 104 
C) 2 
D) -104

Question 13

Solve. Clear fractions first.
-$$\frac { 1 } { 14 } y - 1 = 2$$

Accepted Answer

A)  44 
B)  $- 42$ 
C)  $- 44$ 
D)  42 
A)  44 
B)  $- 42$ 
C)  $- 44$ 
D)  42

Question 14

Determine whether the given number is a solution of the inequality.
-$$x \geq - 1,13.5$$

Accepted Answer

A) True 
 B)False

Question 15

Translate the sentence to an inequality.
-Five added to half of a number is at most eight.

Accepted Answer

A) $\frac { 1 } { 2 } x + 5 > 8$ B) $\frac { 1 } { 2 } x + 5 < 8$ C) $\frac { 1 } { 2 } x + 5 \geq 8$ D) $\frac { 1 } { 2 } x + 5 \leq 8$ A) $\frac { 1 } { 2 } x + 5 > 8$ B) $\frac { 1 } { 2 } x + 5 < 8$ C) $\frac { 1 } { 2 } x + 5 \geq 8$ D) $\frac { 1 } { 2 } x + 5 \leq 8$

Question 16

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 187 is 11.7?

Accepted Answer

A) 6.3% 
B) 1598.3% 
C) 0.2% 
D) 0.1% 
A) 6.3% 
B) 1598.3% 
C) 0.2% 
D) 0.1%

Question 17

Determine whether the given number is a solution of the inequality.
-$$x \leq - 9,6.5$$

Accepted Answer

A) True 
 B)False

Question 18

Solve using the multiplication principle.
-$$3 + 4 x < - 26$$

Accepted Answer

A) $\left\{ x \mid x > - \frac { 29 } { 4 } \right\}$ B) $\left\{ x \mid x > \frac { 23 } { 4 } \right\}$ C) $\left\{ x \mid x < \frac { 23 } { 4 } \right\}$ D) $\left\{ x \mid x < - \frac { 29 } { 4 } \right\}$ A) $\left\{ x \mid x > - \frac { 29 } { 4 } \right\}$ B) $\left\{ x \mid x > \frac { 23 } { 4 } \right\}$ C) $\left\{ x \mid x < \frac { 23 } { 4 } \right\}$ D) $\left\{ x \mid x < - \frac { 29 } { 4 } \right\}$

Question 19

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 8 is 0.04?

Accepted Answer

A) 0.5% 
B) 5.0% 
C) 200.0% 
D) 50.0% 
A) 0.5% 
B) 5.0% 
C) 200.0% 
D) 50.0%

Question 20

Solve using the multiplication principle.
-14.7x = 220.5

Accepted Answer

A) 205.5 
B) $\frac{1}{15}$ 
C) 15 
D) 205.8 
A) 205.5 
B) $\frac{1}{15}$ 
C) 15 
D) 205.8

Solve the problem. Round to the nearest hundredth, if necessary. -57 is 90% of what number?

Solve the problem. Round to the nearest tenth of a percent. -4.1 is what percent of 20.9?

Solve the problem. -A baseball team played 156 complete games last season. They had 54 fewer wins than losses. How many games did the team win?

Solve. Clear decimals first. -1.4y - 3.7 = 0.6y + 2.54

Solve the problem. -Find the measure of each angle in the triangle.

Solve. -156 = 14x + 16

Solve the problem. -The sum of three consecutive integers is 516. Find the integers.

Solve the problem. -A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?

Solve the problem. -A salesperson has two job offers. Company A offers a weekly salary of $120 plus commission of 6% of sales. Company B offers a weekly salary of $240 plus commission of 3% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

Solve the problem. Round to the nearest hundredth, if necessary. -What number is 180% of 427?

Solve the problem. -One side of a rectangle is 13 inches and the other side is x inches. Find the value of x if the area must be at least 130 square inches.

Solve using the multiplication principle. --112 = -8n

Solve. Clear fractions first. - $\frac { 1 } { 14 } y - 1 = 2$

Determine whether the given number is a solution of the inequality. - $x \geq - 1,13.5$

Translate the sentence to an inequality. -Five added to half of a number is at most eight.

Solve the problem. Round to the nearest tenth of a percent. -What percent of 187 is 11.7?

Determine whether the given number is a solution of the inequality. - $x \leq - 9,6.5$

Solve using the multiplication principle. - $3 + 4 x < - 26$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 8 is 0.04?

Solve using the multiplication principle. -14.7x = 220.5

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

Filters

Exam 2: Solving Equations and Inequalities