Question 1

Solve the problem.
-A square plywood platform has a perimeter which is 10 times the length of a side, decreased by 18. Find the length of a side.

Accepted Answer

A) 3 
B) 9 
C) 1 
D) 6 
A) 3 
B) 9 
C) 1 
D) 6

Question 2

Solve the problem. Round to the nearest hundredth, if necessary.
-17 is 7% of what number?

Accepted Answer

A) 119 
B) 24.29 
C) 2428.6 
D) 242.86 
A) 119 
B) 24.29 
C) 2428.6 
D) 242.86

Question 3

Solve. Clear fractions first.
-$\frac { 13 } { 12 } x + \frac { 1 } { 12 } x = 10 x + \frac { 1 } { 6 } + \frac { 11 } { 12 } x$

Accepted Answer

A)  $- \frac { 1 } { 117 }$ 
B)  $\frac { 1 } { 117 }$ 
C)  $\frac { 2 } { 123 }$ 
D)  $- \frac { 2 } { 117 }$ 
A)  $- \frac { 1 } { 117 }$ 
B)  $\frac { 1 } { 117 }$ 
C)  $\frac { 2 } { 123 }$ 
D)  $- \frac { 2 } { 117 }$

Question 4

Determine whether the given number is a solution of the inequality.
-$$x < 8,0.7$$

Accepted Answer

A) True 
 B)False

Question 5

Solve.
-$\frac { 1 } { 2 } a - \frac { 1 } { 2 } = - 4$

Accepted Answer

A)  $- 7$ 
B)  9 
C)  $- 9$ 
D)  7 
A)  $- 7$ 
B)  9 
C)  $- 9$ 
D)  7

Question 6

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$$x + \frac { 2 } { 21 } > \frac { 8 } { 21 }$$

Accepted Answer

A)  $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$
  
B)  $\left\{ x \mid x  - \frac { 2 } { 7 } \right\}$
  
D)  $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$
  
A)  $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$
  
B)  $\left\{ x \mid x  - \frac { 2 } { 7 } \right\}$
  
D)  $\left\{ x \mid x > \frac { 2 } { 7 } \right\}$

Question 7

Graph the inequality.
-$$x < - 2$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 8

Solve using the multiplication principle.
-$$- 7.2 m = - 14.4$$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $12.4$ 
D)  $7.2$ 
A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $12.4$ 
D)  $7.2$

Question 9

Solve.
-$$0.9 ( 5 x + 15 ) = 2.3 - ( x + 3 )$$

Accepted Answer

A)  $- \frac { 142 } { 55 }$ 
B)  $- \frac { 62 } { 23 }$ 
C)  $\frac { 36 } { 7 }$ 
D)  $\frac { 18 } { 55 }$ 
A)  $- \frac { 142 } { 55 }$ 
B)  $- \frac { 62 } { 23 }$ 
C)  $\frac { 36 } { 7 }$ 
D)  $\frac { 18 } { 55 }$

Question 10

Solve.
-6x - 8 + 7x = 5x + 94 - 9x

Accepted Answer

A) 6 
B) 5 
C) 8 
D) 7 
A) 6 
B) 5 
C) 8 
D) 7

Question 11

Solve using the multiplication principle.
-$$\frac { 6 } { 7 } x = 48$$

Accepted Answer

A)  $\frac { 330 } { 7 }$ 
B)  56 
C)  $\frac { 342 } { 7 }$ 
D)  $\frac { 288 } { 7 }$ 
A)  $\frac { 330 } { 7 }$ 
B)  56 
C)  $\frac { 342 } { 7 }$ 
D)  $\frac { 288 } { 7 }$

Question 12

Solve the problem.
-Recently, the cost of 12 6-oz jars of baby food was $8.16. What was the cost of one jar?

Accepted Answer

A) $0.34 
B) $2.04 
C) $0.68 
D) $1.36 
A) $0.34 
B) $2.04 
C) $0.68 
D) $1.36

Question 13

Provide an appropriate response.
-Express three consecutive integers, all in terms of x, if x is the largest integer.

Accepted Answer

The answer of Provide an appropriate response.
-Express three consecutive integers,...

Question 14

Solve the problem.
-If three times the smaller of two consecutive integers is added to four times the larger, the result is 116. Find the smaller integer.

Accepted Answer

A) 17 
B) 16 
C) 48 
D) 15 
A) 17 
B) 16 
C) 48 
D) 15

Question 15

Graph the inequality.
-$$- 4 \leq x \leq 0$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Translate the sentence to an inequality.
-The cost is no more than $631.54.

Accepted Answer

A)  $x  631.54$ 
A)  $x  631.54$

Question 17

Solve using the multiplication principle.
-$$- \frac { 7 } { 3 } x = - 61.25$$

Accepted Answer

A)  $26.25$ 
B)  $19.25$ 
C)  $12.25$ 
D)  $58.25$ 
A)  $26.25$ 
B)  $19.25$ 
C)  $12.25$ 
D)  $58.25$

Question 18

Solve. Clear decimals first.
-44.1t + 396.9 = 25.2t + 226.8

Accepted Answer

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

Question 19

Solve using the multiplication principle.
-$6 y + 6 \leq 5 y + 5$

Accepted Answer

A) $\{ y \mid y \geq - 1 \}$ B) $\{ y \mid y > 6 \}$ C) $\{ y \mid y < 6 \}$ D) $\{ \mathrm { y } \mid \mathrm { y } \leq - 1 \}$ A) $\{ y \mid y \geq - 1 \}$ B) $\{ y \mid y > 6 \}$ C) $\{ y \mid y < 6 \}$ D) $\{ \mathrm { y } \mid \mathrm { y } \leq - 1 \}$

Question 20

Solve using the multiplication principle.
--38 = 2z

Accepted Answer

A) 40 
B) 1 
C) -19 
D) -40 
A) 40 
B) 1 
C) -19 
D) -40

Solve the problem. -A square plywood platform has a perimeter which is 10 times the length of a side, decreased by 18. Find the length of a side.

Solve the problem. Round to the nearest hundredth, if necessary. -17 is 7% of what number?

Solve. Clear fractions first. - $\frac { 13 } { 12 } x + \frac { 1 } { 12 } x = 10 x + \frac { 1 } { 6 } + \frac { 11 } { 12 } x$

Determine whether the given number is a solution of the inequality. - $x < 8,0.7$

Solve. - $\frac { 1 } { 2 } a - \frac { 1 } { 2 } = - 4$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x + \frac { 2 } { 21 } > \frac { 8 } { 21 }$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x + \frac { 2 } { 21 } > \frac { 8 } { 21 }$

Graph the inequality. - $x < - 2$

Solve using the multiplication principle. - $- 7.2 m = - 14.4$

Solve. - $0.9 ( 5 x + 15 ) = 2.3 - ( x + 3 )$

Solve. -6x - 8 + 7x = 5x + 94 - 9x

Solve using the multiplication principle. - $\frac { 6 } { 7 } x = 48$

Solve the problem. -Recently, the cost of 12 6-oz jars of baby food was $8.16. What was the cost of one jar?

Provide an appropriate response. -Express three consecutive integers, all in terms of x, if x is the largest integer.

Solve the problem. -If three times the smaller of two consecutive integers is added to four times the larger, the result is 116. Find the smaller integer.

Graph the inequality. - $- 4 \leq x \leq 0$ $Graph the inequality. - - 4 \leq x \leq 0$

Translate the sentence to an inequality. -The cost is no more than $631.54.

Solve using the multiplication principle. - $- \frac { 7 } { 3 } x = - 61.25$

Solve. Clear decimals first. -44.1t + 396.9 = 25.2t + 226.8

Solve using the multiplication principle. - $6 y + 6 \leq 5 y + 5$

Solve using the multiplication principle. --38 = 2z

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