Question 1

Use the properties of equality to solve the equation. u  −-−  0.11 =  −-−  0.77

Accepted Answer

A)   u = -0.61
B)   u = -0.66
C)   u = -0.56
D)   u = -0.71
E)   none of these

Question 2

A bill from the limousine company was $450. This included $100 for the service and $100 for each hour of use. Find the number of hours that the limousine was used.

Accepted Answer

A)   4 hours
B)   3.5 hours
C)   7.5 hours
D)   8 hours
E)   4.5 hours

Question 3

Solve the equation. 24 =  −-−  3  −-−  13 b

Accepted Answer

A)    b=−2713b = - \frac { 27 } { 13 }b=−1327​ 
B)    b=−2113b = - \frac { 21 } { 13 }b=−1321​ 
C)    b=2713b = \frac { 27 } { 13 }b=1327​ 
D)    b=2113b = \frac { 21 } { 13 }b=1321​

Question 4

The equation $5 y + 1 = 5 y - 1$ has infinitely many solutions.

Accepted Answer

A) True 
 B)False

Question 5

An executive is earning $150,000 per year. This is $14,000 less than twice her salary 7 years ago. Find her salary 7 years ago.

Accepted Answer

A)   $86,000
B)   $77,000
C)   $84,000
D)   $82,000

Question 6

Solve the equation. 4( r  −-−  4)  + 3( r  −-−  1)  =  −-−  3( r  −-−  1)  + 11( r + 2)

Accepted Answer

A)   r = -48
B)   r = -43
C)   r = -49
D)   r = -34
E)   r = -44

Question 7

Tracy received a cell phone bill for $132.24. Included in the $132.24 was a charge of $39.99 for the monthly plan and a charge for 205 extra minutes. How much is Tracy being charged for each extra minute? $__________

Accepted Answer

The answer of Tracy received a cell phone bill for...

Question 8

Use the properties of equality to solve the equation.  −-−  1 = u + 9

Accepted Answer

A)   u = -5
B)   u = -10
C)   u = -15
D)   u = 0
E)   none of these

Question 9

Match these equations and their solutions.
- x=8x = 8x=8

Accepted Answer

A)    5(x−3) −9(x−3) =−205 ( x - 3 )  - 9 ( x - 3 )  = - 205(x−3) −9(x−3) =−20  
B)    8(x−9) −9(x−6) =−248 ( x - 9 )  - 9 ( x - 6 )  = - 248(x−9) −9(x−6) =−24  
C)    9(x−8) −8(x−7) =−119 ( x - 8 )  - 8 ( x - 7 )  = - 119(x−8) −8(x−7) =−11

Question 10

Use the properties of equality to solve the equation. $\frac { 5 } { 11 } m = 40$

Accepted Answer

The answer of Use the properties of equality to solve...

Question 11

Sometimes more than one equation is used to solve a word problem.

Accepted Answer

A) True 
 B)False

Question 12

Match each compound inequality with its solution.
- x≥2 and x≥9x \geq 2 	ext { and } x \geq 9x≥2 and x≥9

Accepted Answer

A)    
B)

Question 13

Solve the equation.  6(t+5) =3(2t+10) 6 ( t + 5 )  = 3 ( 2 t + 10 ) 6(t+5) =3(2t+10)

Accepted Answer

A)    t=2t = 2t=2 
B)    t=7t = 7t=7 
C)    t=6t = 6t=6 
D)   all reals
E)   no solution

Question 14

Last week on an algebra test, the highest grade was 20 points less than 4 times the lowest grade. The sum of the two grades was 90. Find the lowest and highest grades on the test.

Accepted Answer

A)   68, 22
B)   158, 22
C)   68, 42
D)   68, 26

Question 15

Solve the inequality.   20 x + 14">20x+6>20x+1420 x + 6 > 20 x + 1420x+6>20x+14

Accepted Answer

A)    (−20,∞) ( - 20 , \infty ) (−20,∞)  
B)    ϕ\phiϕ  
C)    (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
D)    (20,∞) ( 20 , \infty ) (20,∞)  
E)   none of these

Question 16

If two angles are supplementary and the larger angle is 60  ∘^ { \circ }∘  smaller than 2 times the smaller angle, find the measure of each angle.

Accepted Answer

A)   63  ∘^ { \circ }∘  , 117  ∘^ { \circ }∘ 
B)   105  ∘^ { \circ }∘  , 75  ∘^ { \circ }∘ 
C)   100  ∘^ { \circ }∘  , 80  ∘^ { \circ }∘ 
D)   110  ∘^ { \circ }∘  , 70  ∘^ { \circ }∘

Question 17

Solve the equation. $\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 1$

Accepted Answer

The answer of Solve the equation. \(\frac { z +...

Question 18

Use the properties of equality to solve the equation.  x−27=23x - \frac { 2 } { 7 } = \frac { 2 } { 3 }x−72​=32​

Accepted Answer

A)    x=1120x = 1 \frac { 1 } { 20 }x=1201​ 
B)    x=2021x = \frac { 20 } { 21 }x=2120​ 
C)    x=27x = \frac { 2 } { 7 }x=72​ 
D)    x=121x = \frac { 1 } { 21 }x=211​ 
E)   none of these

Question 19

For the following problem state the solution set. x > 1

Accepted Answer

A)    (−∞,1]( - \infty , 1 ](−∞,1] 
B)    [1,∞) [ 1 , \infty ) [1,∞)  
C)    (1,∞) ( 1 , \infty ) (1,∞)  
D)    (−∞,1) ( - \infty , 1 ) (−∞,1)  
E)   none of these

Question 20

At a local restaurant, $245 in tips is to be shared between the server, bartender, and busboy. The server gets $20 more than three times the amount the busboy receives. The bartender gets $50 more than the amount the busboy receives. How much will the server receive? $__________

Accepted Answer

The answer of At a local restaurant, $245 in tips...

Exam 3: Equations, Inequalities and Problem Solving

Solve the equation. z+115=z−418+1\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 115z+1​=18z−4​+1

Correct AnswerverifiedShow Answer

Tracy received a cell phone bill for $132.24. Included in the $132.24 was a charge of $39.99 for the monthly plan and a charge for 205 extra minutes. How much is Tracy being charged for each extra minute? $__________

Correct AnswerverifiedShow Answer

An executive is earning $150,000 per year. This is $14,000 less than twice her salary 7 years ago. Find her salary 7 years ago.

Correct AnswerverifiedShow Answer

Solve the equation. 24 = −-− 3 −-− 13 b

Correct AnswerverifiedShow Answer

If two angles are supplementary and the larger angle is 60 ∘^ { \circ }∘ smaller than 2 times the smaller angle, find the measure of each angle.

Correct AnswerverifiedShow Answer

Solve the equation. 4( r −-− 4) + 3( r −-− 1) = −-− 3( r −-− 1) + 11( r + 2)

Correct AnswerverifiedShow Answer

Match each compound inequality with its solution. - x≥2 and x≥9x \geq 2 \text { and } x \geq 9x≥2 and x≥9

Correct AnswerverifiedShow Answer

Solve the inequality. 20x+6>20x+1420 x + 6 > 20 x + 1420x+6>20x+14

Correct AnswerverifiedShow Answer

Sometimes more than one equation is used to solve a word problem.

Correct AnswerverifiedShow Answer

A bill from the limousine company was $450. This included $100 for the service and $100 for each hour of use. Find the number of hours that the limousine was used.

Correct AnswerverifiedShow Answer

Use the properties of equality to solve the equation. 511m=40\frac { 5 } { 11 } m = 40115​m=40

Correct AnswerverifiedShow Answer

For the following problem state the solution set. x > 1

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Match these equations and their solutions. - x=8x = 8x=8

Correct AnswerverifiedShow Answer

Last week on an algebra test, the highest grade was 20 points less than 4 times the lowest grade. The sum of the two grades was 90. Find the lowest and highest grades on the test.

Correct AnswerverifiedShow Answer

At a local restaurant, $245 in tips is to be shared between the server, bartender, and busboy. The server gets $20 more than three times the amount the busboy receives. The bartender gets $50 more than the amount the busboy receives. How much will the server receive? $__________

Correct AnswerverifiedShow Answer

Use the properties of equality to solve the equation. u −-− 0.11 = −-− 0.77

Correct AnswerverifiedShow Answer

Use the properties of equality to solve the equation. −-− 1 = u + 9

Correct AnswerverifiedShow Answer

Use the properties of equality to solve the equation. x−27=23x - \frac { 2 } { 7 } = \frac { 2 } { 3 }x−72​=32​

Correct AnswerverifiedShow Answer

The equation 5y+1=5y−15 y + 1 = 5 y - 15y+1=5y−1 has infinitely many solutions.

Correct AnswerverifiedShow Answer

Solve the equation. 6(t+5) =3(2t+10) 6 ( t + 5 ) = 3 ( 2 t + 10 ) 6(t+5) =3(2t+10)

Correct AnswerverifiedShow Answer

Solve the equation. $\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 1$

Correct Answer
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Solve the equation. 24 = $-$ 3 $-$ 13 b

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If two angles are supplementary and the larger angle is 60 $^ { \circ }$ smaller than 2 times the smaller angle, find the measure of each angle.

Correct Answer
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Solve the equation. 4( r $-$ 4) + 3( r $-$ 1) = $-$ 3( r $-$ 1) + 11( r + 2)

Correct Answer
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Match each compound inequality with its solution. - $x \geq 2 \text { and } x \geq 9$

Correct Answer
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Solve the inequality. $20 x + 6 > 20 x + 14$

Correct Answer
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Use the properties of equality to solve the equation. $\frac { 5 } { 11 } m = 40$

Correct Answer
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Match these equations and their solutions. - $x = 8$

Correct Answer
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Use the properties of equality to solve the equation. u $-$ 0.11 = $-$ 0.77

Correct Answer
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Use the properties of equality to solve the equation. $-$ 1 = u + 9

Correct Answer
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Use the properties of equality to solve the equation. $x - \frac { 2 } { 7 } = \frac { 2 } { 3 }$

Correct Answer
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The equation $5 y + 1 = 5 y - 1$ has infinitely many solutions.

Correct Answer
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Solve the equation. $6 ( t + 5 ) = 3 ( 2 t + 10 )$

Correct Answer
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