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18-19 ME 7 Solve equations and inequalities (CC2, ch6)

Total questions: 40

Worksheet time: 29mins

Name
Class
Date
1.

x/8 = 5

a)

30

b)

35

c)

40

d)

45

2.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
3.

Solve the equation:

20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

4.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
5.
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.
6.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
7.
Solve
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c ≥15
8.
When graphing b < 6 would you use an open or closed circle?
a)
Open ○
b)
Closed •
9.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
10.
Joe has 4 less than 7 times as many toy cars as Sam. If Joe has 9 cars, which equation shows how to find the number of cars Sam has?
a)
7c/9 = 4
b)
7c + 4 = 9
c)
7c - 4 = 9
d)
7c + 9 = 4
11.
The price of an ice cream cone,c, is one-fourth the price of a pint, p. Which equation shows the relationship between the price of a cone and the price of a pint?
a)
1/4c = p
b)
p = 1/4 + c
c)
4c = p
d)
p = 4 + c
12.

Solve the inequality:

4c ≤ 40

Which describes all the possible numbers that can replace c?

a)

c can be replaced by 10 or more

b)

c can be replaced by 10 or fewer

c)

c can be replaced by 12 or more

d)

c can be replaced by 4 or fewer

13.

Solve the equation:

½x = 6

a)

x = 12

b)

x = 18

c)

x = 3

d)

x = 16

14.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
15.
Does the given value make the inequality true? 
 x + 9 > 21, when x = 15
a)
True
b)
False
16.

An inverse operation is

a)

reversing the sign in an inequality

b)

using the opposite operation to solve equations and inequalities

c)

A number’s distance from zero

d)

A doctor operating behind her back

17.
When graphing an inequality, you use an open dot when you use which symbols?
a)
<, >
b)
≤, ≥ 
18.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
19.
This graph represents which inequality?
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
20.
Which represents the word sentence as an inequality?
A number n is at least 17.
a)
n < 17
b)
n > 17
c)
n ≤ 17
d)
n ≥ 17
21.

Which answer below represents the graph?

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

22.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
23.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
24.
Which inequality represents a minimum speed of 45?
a)
s ≤ 45
b)
s < 45
c)
s ≥ 45
d)
s > 45
25.
Write the inequality:
Six flags over GA have rides with signs that say. "You have to be 54 inches or taller to ride this ride"
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
26.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
27.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
28.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
29.
Solve 
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
30.

-12x > 36

a)

x > -3

b)

x > 48

c)

x < -3

d)

x = -3

31.
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
a)
5
b)
6
c)
7
d)
8
32.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
33.

Solve the inequality.

x + 5x ≤ 12

a)

x ≥ 2

b)

x ≥ 7

c)

x ≤ 2

d)

x ≤ 7

34.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
35.
Solve
w/(-2) < 19
a)
w < -38
b)
w > -38
c)
w < 17
d)
w > 17
36.

Does the sign need to flip when solving?

m - 5 > 8

a)

Yes

b)

No

c)

Replace inequality with an equal (=) sign

37.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
38.
a)
x<-8
b)
x≥-8
c)
x>-8
d)
x≤-8
39.
a)
x>9
b)
x≤9
c)
x<9
d)
x≥9
40.
Solve12>6x don't forget it is written backwards and the answers are NOT!
a)
x<2
b)
x>2
c)
x≤-2
d)
x≥2

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