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TOPIC 4- Represent and Solve Equations and Inequalities

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
2.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
3.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
4.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
5.

Select an equation to represent the image:

a)

5x = 20

b)

5 + x = 20

c)

5 / x = 20

d)

5 + x + 20

6.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
7.

What is the value of x?

a)

15

b)

20

c)

5

d)

12

8.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
9.

Select all the answers that can be a solution for

x + 7 > 12

a)

5

b)

7

c)

10

d)

3

e)

1

10.

Julie and Jada like to make pies. Julie makes 5 chocolate pies over the weekend and Jada baked p peanut butter pies. Together they baked 13 pies.

Which equation represents this situation?

a)

5 + p = 13

b)

5 - p = 13

c)

5p = 13

d)

5/p = 13

11.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
12.

What statement matches the graph above?

a)

Micah has 7 cars.

b)

Laterrion has more than 7 friends.

c)

Joe has less than 7 video games.

d)

Roman has 7 backpacks.

13.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

14.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
15.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
16.
What inequality does the number line graph represent. 
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
17.

You earn $3 per chore.

Which equation matches that statement?

a)

3 + x = d

b)

3 + d + x

c)

3x = d

d)

13 + d = c

18.
If you were to graph x > 2, what would you do?
a)
put a closed dot on 2 and to the right
b)
put a closed dot on 2 and to the left
c)
put an open dot on 2 and to the right
d)
put an open dot on 2 and to the left
19.
How many answers are there in an inequality?
a)
0
b)
1
c)
2
d)
multiple
20.

You earn $3 per chore.

How much will you earn if you do 13 chores?

a)

39

b)

13

c)

43

d)

36