Question 1

Provide an appropriate response.
-Find all values of x that make this statement true: (x - 6)- 7 = (x - 7)- 6.

Accepted Answer

x can be a

Question 2

Solve the problem.
-A rectangular Persian carpet has a perimeter of 224 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Accepted Answer

A) 44 in., 68 in. 
B) 68 in., 92 in. 
C) 100 in., 124 in. 
D) 88 in., 112 in. 
A) 44 in., 68 in. 
B) 68 in., 92 in. 
C) 100 in., 124 in. 
D) 88 in., 112 in.

Question 3

Solve the problem.
-By switching service providers, a family's telephone bill decreased from about $50 a month to about $43. What was the percent of decrease?

Accepted Answer

A) 16.3% 
B) 7% 
C) 15% 
D) 14% 
A) 16.3% 
B) 7% 
C) 15% 
D) 14%

Question 4

Solve the problem. Round to the nearest tenth of a percent.
-990 is what percent of 742?

Accepted Answer

A) 74.9% 
B) 133.4% 
C) 1.3% 
D) 0.1% 
A) 74.9% 
B) 133.4% 
C) 1.3% 
D) 0.1%

Question 5

Solve.
-$A = \frac { 1 } { 2 } b h \quad$ for $h$

Accepted Answer

A)  $h = \frac { A b } { 2 }$ 
B)  $h = \frac { A } { 2 b }$ 
C)  $h = \frac { b } { 2 A }$ 
D)  $h = \frac { 2 \mathrm {~A} } { \mathrm {~b} }$ 
A)  $h = \frac { A b } { 2 }$ 
B)  $h = \frac { A } { 2 b }$ 
C)  $h = \frac { b } { 2 A }$ 
D)  $h = \frac { 2 \mathrm {~A} } { \mathrm {~b} }$

Question 6

Solve.
-$$4 ( 2 g - 27 ) - 8 g + 108 = 0$$

Accepted Answer

A)  All real numbers 
B)  $- 2$ 
C)  2 
D)  No solution 
A)  All real numbers 
B)  $- 2$ 
C)  2 
D)  No solution

Question 7

Solve.
-8y + 4 = 6y

Accepted Answer

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

Question 8

Solve.
-$$3 ( x + 6 ) + 11 = 4 ( x + 5 ) + 12$$

Accepted Answer

A)  11 
B)  $- 3$ 
C)  7 
D)  15 
A)  11 
B)  $- 3$ 
C)  7 
D)  15

Question 9

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$$- 8 t + 5 \geq - 9 t + 11$$

Accepted Answer

A)  $| t | t  - 8 \}$
  
C)  $\{ t \mid t \leq 6 \}$
  
D)  $\{ t \mid t \geq 6 \}$
  
A)  $| t | t  - 8 \}$
  
C)  $\{ t \mid t \leq 6 \}$
  
D)  $\{ t \mid t \geq 6 \}$

Question 10

Solve using the multiplication principle.
--31.5m = -409.5

Accepted Answer

A) 378 
B) 396.5 
C) 13 
D) $\frac{1}{13}$ 
A) 378 
B) 396.5 
C) 13 
D) $\frac{1}{13}$

Question 11

Solve the problem.
-If the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integer. Find the third integer.

Accepted Answer

A) 23 
B) 25 
C) 50 
D) 27 
A) 23 
B) 25 
C) 50 
D) 27

Question 12

Solve.
-11.6x + 10.2x = 261.6

Accepted Answer

A) 11 
B) 13 
C) 12 
D) 14 
A) 11 
B) 13 
C) 12 
D) 14

Question 13

Solve. Clear decimals first.
-2x + 1.1 = -44.5 + 9.6x

Accepted Answer

A) 5.0 
B) 4.8 
C) 6 
D) -53 
A) 5.0 
B) 4.8 
C) 6 
D) -53

Question 14

Solve the problem.
-On a road trip from Chicago to New Orleans, Joe stopped in Memphis which is 540 miles from Chicago. If Memphis is 0.6 of the trip to New Orleans, how far is it from Chicago to New Orleans?

Accepted Answer

A) 324 miles 
B) 3240 miles 
C) 900 miles 
D) 600 miles 
A) 324 miles 
B) 3240 miles 
C) 900 miles 
D) 600 miles

Question 15

Solve using the multiplication principle.
-$6 b \leq - 12$

Accepted Answer

A)  $\{ b \mid b \leq 2 \}$ 
B)  $\{ \mathrm { b } \mid \mathrm { b } \leq - 2 \}$ 
C)  $\{ b \mid b \geq - 2 \}$ 
D)  $\{ b \mid b \geq 2 \}$ 
A)  $\{ b \mid b \leq 2 \}$ 
B)  $\{ \mathrm { b } \mid \mathrm { b } \leq - 2 \}$ 
C)  $\{ b \mid b \geq - 2 \}$ 
D)  $\{ b \mid b \geq 2 \}$

Question 16

Solve the problem.
-Two angles of a triangle are 40° and 60°. What is the measure of the third angle?

Accepted Answer

A) -10° 
B) 260° 
C) 80° 
D) 100° 
A) -10° 
B) 260° 
C) 80° 
D) 100°

Question 17

Solve using the multiplication principle.
-$$6 \mathrm { k } \geq 18$$

Accepted Answer

A)  $\{ k \mid k  3 \}$ 
C)  $\{ \mathrm { k } \mid \mathrm { k } \leq 3 \}$ 
D)  $\{ \mathrm { k } \mid \mathrm { k } \geq 3 \}$ 
A)  $\{ k \mid k  3 \}$ 
C)  $\{ \mathrm { k } \mid \mathrm { k } \leq 3 \}$ 
D)  $\{ \mathrm { k } \mid \mathrm { k } \geq 3 \}$

Question 18

Solve.
--7b + 7 + 5b = -3b + 12

Accepted Answer

A) -12 
B) 5 
C) 12 
D) -7 
A) -12 
B) 5 
C) 12 
D) -7

Question 19

Solve.
--4x - 7x = -77

Accepted Answer

A) 8 
B) 7 
C) -66 
D) -7 
A) 8 
B) 7 
C) -66 
D) -7

Question 20

Decide if the given number is a solution to the given equation.
-3m + 5 = 16; 3

Accepted Answer

A) True 
 B)False

Provide an appropriate response. -Find all values of x that make this statement true: (x - 6)- 7 = (x - 7)- 6.

Solve the problem. -A rectangular Persian carpet has a perimeter of 224 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Solve the problem. -By switching service providers, a family's telephone bill decreased from about $50 a month to about $43. What was the percent of decrease?

Solve the problem. Round to the nearest tenth of a percent. -990 is what percent of 742?

Solve. - $A = \frac { 1 } { 2 } b h \quad$ for $h$

Solve. - $4 ( 2 g - 27 ) - 8 g + 108 = 0$

Solve. -8y + 4 = 6y

Solve. - $3 ( x + 6 ) + 11 = 4 ( x + 5 ) + 12$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $- 8 t + 5 \geq - 9 t + 11$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - - 8 t + 5 \geq - 9 t + 11$

Solve using the multiplication principle. --31.5m = -409.5

Solve the problem. -If the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integer. Find the third integer.

Solve. -11.6x + 10.2x = 261.6

Solve. Clear decimals first. -2x + 1.1 = -44.5 + 9.6x

Solve the problem. -On a road trip from Chicago to New Orleans, Joe stopped in Memphis which is 540 miles from Chicago. If Memphis is 0.6 of the trip to New Orleans, how far is it from Chicago to New Orleans?

Solve using the multiplication principle. - $6 b \leq - 12$

Solve the problem. -Two angles of a triangle are 40° and 60°. What is the measure of the third angle?

Solve using the multiplication principle. - $6 \mathrm { k } \geq 18$

Solve. --7b + 7 + 5b = -3b + 12

Solve. --4x - 7x = -77

Decide if the given number is a solution to the given equation. -3m + 5 = 16; 3

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