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Equations and Inequalities Unit Test

Total questions: 28

Worksheet time: 41mins

Name
Class
Date
1.
Which inequality goes with the statement "You can spend at most $30"?
a)
x ≤ 30
b)
x < 30
c)
x ≥ 30
d)
x > 30
2.
Which inequality goes with the statement "You must be at least 57 inches tall to join the Navy"?
a)
x ≤ 57
b)
x < 57
c)
x ≥ 57
d)
x > 57
3.

The solution to 1/4x = 8 is

a)

32

b)

½

c)

2

d)

12

4.
The solution to x - 2.3 = 17 is
a)
14.7
b)
19.3
c)
40
d)
6
5.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

6.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

c/3 = 18

b)

c + 3 = 18

c)

c/18 = 3

d)

3c = 18

7.

350 students are a part of the middle school band. They represent 1/5 of the students at the school. Write an equation to find the total number of students at the school.

a)

x/5 = 350

b)

5x = 350

c)

350 ÷ 1/5 = x

d)

x ÷ 1/5 = 350

8.
Which problem situation matches the equation 18x = 360
a)
Taylor sold 360 newspaper subscriptions each month for 18 months. What is x, the total number of newspaper subscriptions that Taylor sold in 1 year? 
b)
Brett cycled a total of 360 miles this month. She cycled 18 miles less this month than last month. What is x, the number of miles Brenna cycled last month?
c)
Austin charges $18.00 per hour for labor to paint houses. What is x, the number of hours Austin worked if she charged $360.00 for labor?
d)
Sara bought 18 ride tickets and x game tickets. How many game tickets did she buy if she bought 360 tickets in all?
9.

Choose the dependent quantity from the graph:

a)

Number of Athletes

b)

Cost of Climbing Shoes

c)

Not enough information given

10.

When do you need to change your inequality symbol?

a)

this is a trick question...there is never a scenario where you would change your inequality symbol

b)

before you solve each inequality

c)

only when you move the variable to the right side

d)

only when you move the variable to the left side

11.

8x ≥ 96

a)

x ≥ 12

b)

x ≤ 12

c)

x ≥ 768

d)

x ≤ 768

12.
Which value is NOT a solution to the inequality "7 less than a number, x, is greater than or equal to 23" ?
a)
30
b)
31
c)
29
d)
32
13.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

14.

A taxi company charges $3 per mile. Jackson wants to spend at most $33 on the ride. Which inequality best represents how far Jackson can go?

a)

m ≤ 33

b)

m ≤ 11

c)

m < 11

d)

m < 33

15.
When graphing an inequality, you use an open dot when you use which symbols?
a)
<, >
b)
≤, ≥ 
16.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
17.

Choose all the values that would be a part of the solution set for x + 9 > 21.

a)

13

b)

12

c)

-12

d)

30

e)

12.01

18.

Which best describes the graph of the solution set for the inequality 8x < 48?

a)

closed circle at 6, arrow pointing to the right

b)

Open circle at 6, arrow pointing to the left

c)

Open circle at 6, arrow pointing to the right

d)

Open circle at 48, arrow pointing to the left

19.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
20.

What does the point (2,7) represent on this graph?

a)

2 gallons of gasoline cost $7

b)

7 gallons of gasoline cost $2

c)

2 people bought gasoline for $7 total

d)

there is not enough information given to interpret the given coordinates

21.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
22.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

≤

d)

≥

23.
x is no more than 100
a)
x ≤ 100
b)
x ≥ 100
c)
x < 100
d)
x > 100
24.
y=x+8
What is the missing number?
a)
6
b)
7
c)
5
d)
4
25.
Write a rule for the following function table
a)
 7x
b)
 5x
c)
x + 7 
d)
 x ÷ 7
26.
The graph shows the total money earned at a fundraising car wash. Which equation can be used to find the total earned y for the number of cars washed x?
a)
y = x + 5
b)
y = x/5
c)
y = x - 5
d)
y = 5x
27.

If my equation is y = x + 8, what is my INPUT if the output is 20?

a)

10

b)

12

c)

8

d)

28

28.
Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.
a)
n = 20t
b)
t = 20n
c)
t = n + 20
d)
t = n - 20

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