Question 1

Solve the problem.
-The parking lot at a grocery store has 60 cars in it. 45% of the cars are blue. How many cars are blue?

Accepted Answer

A) 13 cars 
B) 27 cars 
C) 133 cars 
D) 270 cars 
A) 13 cars 
B) 27 cars 
C) 133 cars 
D) 270 cars

Question 2

Solve the problem.
-The area of a triangle must be at most 52 square inches, the base is 13 inches, and the height is x inches. Find the possible values for x.

Accepted Answer

A)  $0 < x \leq 8$ 
B)  $0 < x \leq 16$ 
C)  $0 < x \leq 4$ 
D)  $x < 8$ 
A)  $0 < x \leq 8$ 
B)  $0 < x \leq 16$ 
C)  $0 < x \leq 4$ 
D)  $x < 8$

Question 3

Solve.
-$$\frac { 1 } { 5 } ( 10 x - 15 ) = \frac { 1 } { 4 } ( 12 x - 8 )$$

Accepted Answer

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

Question 4

Solve the problem.
-Jim has gotten scores of 87 and 61 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Accepted Answer

A) At least 74 
B) At least 91 
C) At least 76.0 
D) At least 92 
A) At least 74 
B) At least 91 
C) At least 76.0 
D) At least 92

Question 5

Solve.
-$$- 15 s + 34 + 3 ( 5 s - 9 ) = 0$$

Accepted Answer

A)  5 
B)  1 
C)  No solution 
D)  All real numbers 
A)  5 
B)  1 
C)  No solution 
D)  All real numbers

Question 6

Solve.
-A city government budgeted $36.7 million for public transportation. This was $13.3 million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Accepted Answer

A) $23.4 million 
B) $24.4 million 
C) $22.9 million 
D) $27.4 million 
A) $23.4 million 
B) $24.4 million 
C) $22.9 million 
D) $27.4 million

Question 7

Solve the problem. Round to the nearest hundredth, if necessary.
-What is 5% of 600?

Accepted Answer

A) 30 
B) 0.3 
C) 3 
D) 300 
A) 30 
B) 0.3 
C) 3 
D) 300

Question 8

Solve. Clear fractions first.
-$$\frac { 5 } { 6 } + \frac { 1 } { 7 } x = 8$$

Accepted Answer

A)  $\frac { 18 } { 7 }$ 
B)  $\frac { 287 } { 6 }$ 
C)  $\frac { 7 } { 2 }$ 
D)  $\frac { 301 } { 6 }$ 
A)  $\frac { 18 } { 7 }$ 
B)  $\frac { 287 } { 6 }$ 
C)  $\frac { 7 } { 2 }$ 
D)  $\frac { 301 } { 6 }$

Question 9

Solve.
-$$2 - 5 x = 3 x - 6 x - 12$$

Accepted Answer

A)  $\frac { 3 } { 2 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  6 
D)  7 
A)  $\frac { 3 } { 2 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  6 
D)  7

Question 10

Solve the equation using the addition principle.
-$$t + 1 \frac { 3 } { 4 } = 2 \frac { 1 } { 2 }$$

Accepted Answer

A)  $\frac { 17 } { 4 }$ 
B)  3 
C)  $\frac { 9 } { 4 }$ 
D)  $\frac { 3 } { 4 }$ 
A)  $\frac { 17 } { 4 }$ 
B)  3 
C)  $\frac { 9 } { 4 }$ 
D)  $\frac { 3 } { 4 }$

Question 11

Solve the problem.
-Find the length of a rectangular lot with a perimeter of 122 meters if the length is 5 meters more than the width. (P = 2L + 2W)

Accepted Answer

A) 61 m 
B) 33 m 
C) 28 m 
D) 66 m 
A) 61 m 
B) 33 m 
C) 28 m 
D) 66 m

Question 12

Solve. Clear fractions first.
-$$\frac { 3 } { 4 } x - \frac { 1 } { 2 } x = \frac { 3 } { 4 } x + 1$$

Accepted Answer

A)  $- 2$ 
B)  1 
C)  $- \frac { 1 } { 8 }$ 
D)  $\frac { 16 } { 7 }$ 
A)  $- 2$ 
B)  1 
C)  $- \frac { 1 } { 8 }$ 
D)  $\frac { 16 } { 7 }$

Question 13

Decide if the given number is a solution to the given equation.
-p - 6 = 4; 10

Accepted Answer

A) True 
 B)False

Question 14

Solve using the multiplication principle.
-54 = -9k

Accepted Answer

A) 1 
B) -63 
C) -6 
D) 63 
A) 1 
B) -63 
C) -6 
D) 63

Question 15

Solve.
-$$( y - 5 ) - ( y + 4 ) = 4 y$$

Accepted Answer

A)  $= \frac { 9 } { 4 }$ 
B)  $- \frac { 1 } { 4 }$ 
C)  $- \frac { 9 } { 2 }$ 
D)  $- \frac { 1 } { 2 }$ 
A)  $= \frac { 9 } { 4 }$ 
B)  $- \frac { 1 } { 4 }$ 
C)  $- \frac { 9 } { 2 }$ 
D)  $- \frac { 1 } { 2 }$

Question 16

Solve the problem.
-Find the measures of the supplementary angles.

Accepted Answer

A) 101.25° and 78.75° 
B) 50.63° and 39.38° 
C) 202.5° and 157.5° 
D) 96.25° and 83.75° 
A) 101.25° and 78.75° 
B) 50.63° and 39.38° 
C) 202.5° and 157.5° 
D) 96.25° and 83.75°

Question 17

Solve using the multiplication principle.
-$$\frac { 4 } { 7 } > - 2 x$$

Accepted Answer

A) $\{ x \mid x 0 \rangle$ C) $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$ D) $\left\{ x \mid x < - \frac { 2 } { 7 } \right\}$ A) $\{ x \mid x 0 \rangle$ C) $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$ D) $\left\{ x \mid x < - \frac { 2 } { 7 } \right\}$

Question 18

Solve the problem.
-Stevie bought a stereo for $225 and put it on sale at his store at a 55% markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Accepted Answer

A) $348.75 
B) $325.00 
C) $248.75 
D) $450.00 
A) $348.75 
B) $325.00 
C) $248.75 
D) $450.00

Question 19

Solve the problem.
-The sum of three consecutive odd integers is 267. Find the integers.

Accepted Answer

A) 82, 83, 84 
B) 91, 93, 95 
C) 89, 91, 93 
D) 87, 89, 91 
A) 82, 83, 84 
B) 91, 93, 95 
C) 89, 91, 93 
D) 87, 89, 91

Question 20

Solve. Clear decimals first.
-27.2y - 190.4 = 47.6y - 333.2

Accepted Answer

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

Solve the problem. -The parking lot at a grocery store has 60 cars in it. 45% of the cars are blue. How many cars are blue?

Solve the problem. -The area of a triangle must be at most 52 square inches, the base is 13 inches, and the height is x inches. Find the possible values for x.

Solve. - $\frac { 1 } { 5 } ( 10 x - 15 ) = \frac { 1 } { 4 } ( 12 x - 8 )$

Solve the problem. -Jim has gotten scores of 87 and 61 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Solve. - $- 15 s + 34 + 3 ( 5 s - 9 ) = 0$

Solve. -A city government budgeted $36.7 million for public transportation. This was $13.3 million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Solve the problem. Round to the nearest hundredth, if necessary. -What is 5% of 600?

Solve. Clear fractions first. - $\frac { 5 } { 6 } + \frac { 1 } { 7 } x = 8$

Solve. - $2 - 5 x = 3 x - 6 x - 12$

Solve the equation using the addition principle. - $t + 1 \frac { 3 } { 4 } = 2 \frac { 1 } { 2 }$

Solve the problem. -Find the length of a rectangular lot with a perimeter of 122 meters if the length is 5 meters more than the width. (P = 2L + 2W)

Solve. Clear fractions first. - $\frac { 3 } { 4 } x - \frac { 1 } { 2 } x = \frac { 3 } { 4 } x + 1$

Decide if the given number is a solution to the given equation. -p - 6 = 4; 10

Solve using the multiplication principle. -54 = -9k

Solve. - $( y - 5 ) - ( y + 4 ) = 4 y$

Solve the problem. -Find the measures of the supplementary angles.

Solve using the multiplication principle. - $\frac { 4 } { 7 } > - 2 x$

Solve the problem. -Stevie bought a stereo for $225 and put it on sale at his store at a 55% markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Solve the problem. -The sum of three consecutive odd integers is 267. Find the integers.

Solve. Clear decimals first. -27.2y - 190.4 = 47.6y - 333.2

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