wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Quiz 2.4 & 2.5

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

There are 3 consecutive integers such that twice the first is 20 more than the second. Find the largest number.

a)

21

b)

22

c)

24

d)

23

2.

 4x+9=6x4x+9=6x  

a)

 x=92x=-\frac{9}{2}  

b)

 x=910x=\frac{9}{10}  

c)

 x=910x=-\frac{9}{10}  

d)

 x=92x=\frac{9}{2}  

3.

 83(x2)=3x+28-3\left(x-2\right)=-3x+2  

a)

No Solution

b)

Infinite Solutions

c)

 x=2x=2^{ }  

d)

 x=83x=\frac{8}{3}  

4.

THINK!!! Select ALL the problems that result in NO SOLUTION.

a)

2n+10=50\left|-2n\right|+10=-50

b)

7x3=7-7\left|x-3\right|=-7

c)

992p=819-\left|9-2p\right|=81

d)

8910r9=738-9\left|10r-9\right|=-73

e)

v+85=2\left|v+8\right|-5=-2

5.

 22r4=12-2\left|-2r-4\right|=-12  

a)

 {1, 5}\left\{1,\ 5\right\}  

b)

 {5,1}\left\{-5,1\right\}  

c)

 {5,1}\left\{-5,-1\right\}  

d)

No Solution

6.

 7+99x6=77+9\left|-9x-6\right|=7  

a)

 x=23x=-\frac{2}{3}  

b)

 {23,23}\left\{-\frac{2}{3},\frac{2}{3}\right\}  

c)

 x=0x=0  

d)

No Solution

7.

 5x43=405\left|\frac{x-4}{3}\right|=40  

a)

 {20, 28}\left\{-20,\ 28\right\}  

b)

 {4, 12}\left\{-4,\ 12\right\}  

c)

 {43, 203}\left\{\frac{4}{3},\ \frac{20}{3}\right\}  

d)

No Solution

8.

Jayden solved the following equation but made a mistake. Identify the step in which he made the mistake and then give the correct answer(s).

a)

Step 1

b)

Step 2

c)

Step 3

d)

{1,13}\left\{-1,\frac{1}{3}\right\}

e)

{13, 1}\left\{\frac{1}{3},\ 1\right\}

9.

Write an equation involving absolute value for the graph.

4 lines
10.

Which word problem would be represented using an absolute value equation?

a)

In golf, the average score a good player should be able to achieve is called "par." Par for a whole course is calculated by adding up the par scores for each hole. Scores in golf are often expressed at some number either greater than or less than par. Ms. Smith is having a pretty good day at the Megalopolis City Golf Club. Her score so far after 15 holes is -3. If par for 15 holes is 63, what is her score?

b)

Carl recently invested $3000 in the stock market. On the first day he lost $1500 and on the second day he gained $493. What is the new value of his stock portfolio?

c)

Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the golf tournament?

d)

Maria went golfing last Tuesday. On the first 9 holes she scored -3 under par. On the last 9 holes she scored +2 over par. For all 18 holes was Maria over or under par?

11.

What do you do first when you solve:

 48+y=64-\left|8+y\right|=-6  

a)

Nothing. The answer is "No Solution."

b)

Distribute the 4 into the absolute value.

c)

Distribute the -1 into the absolute value.

d)

Subtract 4 from both sides.

12.

Choose ALL equations that have two solutions.

a)

x=54\left|x\right|=54

b)

2x8=4-2\left|x-8\right|=-4

c)

34x78=223\left|4x-7\right|-8=22

d)

4x5125=4\left|\frac{4x-5}{12}\right|-5=-4