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Equations, Functions and Inequalities

Total questions: 36

Worksheet time: 1hrs 13mins

Name
Class
Date
1.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
2.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
3.
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
4.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
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.
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.
a)
d/4=$11.13
b)
4d=$11.13
c)
d/5=$11.13
d)
5d=$11.13
7.
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.
a)
m-25.32=15
b)
m/25.32
c)
m-15=25.32
d)
15m=25.32
8.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
d)
x = 3
9.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
10.

How many packages do you need to buy to have 24 favors?

a)

48

b)

12

c)

24

d)

36

11.

Which equation describes this graph?

a)

y= x + 5

b)

y = x/5

c)

y = x-5

d)

y = 5x

12.

Which of the following sets of values completes the function table?

a)

5, 8, 11

b)

6, 9, 12

c)

6, 8, 10

d)

5, 6, 7

13.

Which equation describes this graph?

a)

y = x/10

b)

y = 10x

c)

y = x - 10

d)

y = x + 10

14.
What is the function of the table?
a)
y=x+3
b)
y=x*3
c)
y=x÷3
d)
y=x-3
15.
Which statement best describes the rate of change?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
16.
You start with $30.  Every month you do chores around the house and earn $10.  Write an eqution with the total T money and m for m m month.
a)
T = 33m + 10
b)
T = 30 + 10m
c)
T = 40m
d)
T = 30 + 10
17.
X is an example of an
a)
independent variable
b)
dependent variable
18.
Y is an example of an 
a)
dependent variable
b)
independent variable
19.
Michael rides his bike at a constant speed of 12 miles per hour. How far can he travel in 2 hours?
a)
1/2 mile
b)
6 miles
c)
24 Kilometers
d)
24 miles
20.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
21.

Which expressions describes the following?

Jasmine played more than 25 minutes in the basketball game

a)

x > 25

b)

x < 25

c)

x > 25

d)

x < 25

22.

Which expressions describes the following?

Liam has less than 5 minutes to finish his test

a)

x > 5

b)

x < 5

c)

x > 5

d)

x < 5

23.

Which expressions describes the following?

Shane paid at least $10 for his tickets to the game

a)

x > 10

b)

x < 10

c)

x > 10

d)

x < 10

24.

Which expressions describes the following?

Joselyn must be 48 inches or less to play on the playground

a)

x > 48

b)

x < 48

c)

x > 48

d)

x < 48

25.

Which expression represents the inequality x < 12

a)

Becca had fewer than 12 credits until graduation

b)

Gabriel needed to score a 12 or better to earn his next badge

c)

Jessica wanted $12 more for the consession stand

d)

Aaron could have had 12 pairs of Jordans or less

26.

Which of the following expressions represents the inequality x > 24

a)

Macy makes no more than 24 cookies for her class

b)

Ja'Shawn has to take a test with at least 24 questions on it

c)

Abbie turned in more than 24 assignments this week

d)

Avery visited less than 24 states this year

27.

Solve and graph

a)

a

b)

b

c)

c

d)

d

28.

Solve and graph

a)

a

b)

b

c)

c

d)

d

29.

Which value is a solution for the graph ?

a)

x = 8

b)

x = 9

c)

x = 6

30.
Which of the following is a solution to the inequality?  
m < 25
a)
m = 30
b)
m = 25
c)
m = − 91
d)
m = 27
31.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
32.
what does the number line show
a)
x = 3
b)
x > 3
c)
x < 3
d)
 x > 6
33.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
34.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
35.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
36.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6

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