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WorksheetsM9 Linear Inequalitites
Total questions: 24
Worksheet time: 2hrs 23mins
Name
Class
Date
1.
Match each phrase with the correct symbol.
a)
>
1.
greater than
b)
≥
2.
greater than or equal to
c)
≤
3.
less than or equal to
d)
<
4.
less than
e)
=
5.
not equal to
2.
Solve the inequality
a)
x ≤ 2
b)
x ≤ -2
c)
x ≥ 2
d)
x ≥ -2
3.
Does the given value make the inequality true?
x + 9 > 21, when x = 15
x + 9 > 21, when x = 15
a)
True
b)
False
4.
Solve.
a)
x ≤ 14
b)
x < 14
c)
x ≥ 14
d)
x = 14
5.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
6.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
7.
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.
a)
25 - 2.5d > 50 - 3.25d
b)
25 - 2.5d < 50 - 3.25d
c)
25 + 2.5d > 50 + 3.25d
d)
25 + 2.5d < 50 + 3.25d
8.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
9.
Solve:
4(2a + 3) < 3(a - 1)
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
10.
Solve:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
11.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
12.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
13.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
14.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
15.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
16.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
17.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
18.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
19.
Does the sign need to flip when solving?
-2x ≥ 22
-2x ≥ 22
a)
YES
b)
NO
20.
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.
a)
t > 20
b)
t < 20
c)
t ≤ 20
d)
t ≥ 20
21.
Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
22.
Translate the following phrase: Bob spends less than 5 hours on homework each night.
a)
b > 5
b)
b < 5
c)
b ≤ 5
d)
b ≥ 5
23.
Translate the following phrase: Grace has $45 at most in her purse on a daily basis
a)
g < 45
b)
g > 45
c)
g ≤ 45
d)
g ≥ 45
24.
You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.
a)
11h + 1200 ≥ 400
b)
11h + 400 < 1200
c)
11h + 400 > 1200
d)
11h + 400 < 1200
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