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A1 5.1&5.2 Solving linear inequalities

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
2.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
3.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
4.
X + 6 > 10
a)
X > 16
b)
X > -4
c)
X < -4
d)
X > 4
5.
-7x + 15 ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≤ 5
6.

Which inequality symbol has a graph with an open (empty) circle?

a)

<

b)

7.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
8.
a)
A)
b)
B)
c)
C)
d)
D)
9.
Translate the following phrase:  Jessica must be at least 48 inches to ride the roller coaster.
a)
j > 48
b)
j < 48
c)
j ≤ 48
d)
j ≥ 48
10.
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
11.
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
12.
Which inequality symbol has a closed circle?
a)
<
b)
13.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

14.

Solve

  32q552q\frac{3}{2}q-5\ge\frac{5}{2}q  

a)

 q5q\le-5  

b)

 q5q\le5  

c)

 q5q\ge-5  

d)

 q5q\ge5  

15.

Solve

  r+14>38r+\frac{1}{4}>\frac{3}{8}  

a)

 r>8r>8  

b)

 r<18r<-\frac{1}{8}  

c)

 r>18r>\frac{1}{8}  

d)

 r<8r<-8  

16.

Solve

  y62\frac{y}{6}\le2  

a)

 y8y\le8  

b)

 y12y\le12  

c)

 y12y\le-12  

d)

 y8y\le-8  

17.

Solve

  n50>2-\frac{n}{50}>2  

a)

 n<48n<48  

b)

 n>100n>100  

c)

 n<100n<-100  

d)

 n<48n<-48  

18.

Solve

  35h3\frac{3}{5}h\ge-3  

a)

 h5h\ge-5  

b)

 h5h\ge5  

c)

 h5h\le-5  

d)

 h5h\le5  

19.

Solve

   3m5<320\frac{3m}{5}<-\frac{3}{20}  

a)

 m<14m<\frac{1}{4}  

b)

 m<4m<-4  

c)

 m<4m<4  

d)

 m<14m<-\frac{1}{4}  

20.

Solve

 2a76\frac{2a}{7}\ge-6  

a)

 a21a\ge-21  

b)

 a21a\ge21  

c)

 a21a\le-21  

d)

 a21a\le21  

21.

Solve

  23n6-\frac{2}{3}n\ge6  

a)

 n9n\le-9  

b)

 n9n\le9  

c)

 n9n\ge-9  

d)

 n9n\ge9  

22.

Solve

  t+128t+12\ge8  

a)

 t4t\le4  

b)

 t4t\ge4  

c)

 t4t\ge-4  

d)

 t4t\le-4  

23.

Solve

  3r+6>4r3r+6>4r  

a)

 r<6r<-6  

b)

 r<16r<\frac{1}{6}  

c)

 r<16r<-\frac{1}{6}  

d)

 r<6r<6  

24.

Solve

  n12<6n-12<6  

a)

 n<2n<-2  

b)

 n<2n<2  

c)

 n<18n<-18  

d)

 n<18n<18  

25.

Solve

  6g36\le g-3  

a)

 g9g\ge9  

b)

 g9g\ge-9  

c)

 g19g\ge\frac{1}{9}  

d)

 g19g\ge-\frac{1}{9}