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4.1-4.2 Review

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Write the inequality for the graph.

a)

x<8x<8

b)

x>8x>8

c)

x≤8x\le8

d)

x≥8x\ge8

2.

Write the inequality for the graph.

a)

x<−5x<-5

b)

x>−5x>-5

c)

x≤−5x\le-5

d)

x≥−5x\ge-5

3.

Write the word sentence as a inequality.


A number x is at most 3.

a)

x<3x<3

b)

x>3x>3

c)

x≤3x\le3

d)

x≥3x\ge3

4.

Write the word sentence as an inequality.


A number y added to 2 is greater than 7.

a)

2+y <72+y\ <7

b)

2+y>72+y>7

c)

2+y≤72+y\le7

d)

2+y≥72+y\ge7

5.

Write the word sentence as an inequality.

A number c multiplied by 3 is less than -12

a)

 3c<−123c<-12  

b)

 3c>−123c>-12  

c)

 3c≤−123c\le-12  

d)

 3c≥−123c\ge-12  

6.

Write the word sentence as an inequality.


3 less than a number m is no less than 2.

a)

m−3≤2m-3\le2

b)

3−m≤23-m\le2

c)

m−3≥2m-3\ge2

d)

3−m≥23-m\ge2

7.

Tell whether the given value is a solution of the inequality.

 t−3≥2 ;  t = 10t-3\ge2\ ;\ \ t\ =\ 10  

a)

yes

b)

no

8.

Tell whether the given value is a solution of the inequality.

 6w<−2 ;  w = 16w<-2\ ;\ \ w\ =\ 1  

a)

yes

b)

no

9.

Tell whether the given value is a solution of the inequality.

 p+1.6≤4 ;  p=5p+1.6\le4\ ;\ \ p=5  

a)

yes

b)

no

10.

Tell whether the given value is a solution of the inequality.

 12d>−3 ;  d = 0\frac{1}{2}d>-3\ ;\ \ d\ =\ 0  

a)

yes

b)

no

11.

Tell whether the given value is a solution of the inequality.

 3h−7<h;  h = 23h-7<h;\ \ h\ =\ 2  

a)

yes

b)

no

12.

Tell whether the given value is a solution of the inequality.

 q+8≥q4 ;  q = −12q+8\ge\frac{q}{4}\ ;\ \ q\ =\ -12  

a)

yes

b)

no

13.

Solve the inequality.

 p−4<2p-4<2  

a)

 p<6p<6  

b)

 p>6p>6  

c)

 p<2p<2  

d)

 p>2p>2  

14.

Solve the inequality.

 2<n+322<n+\frac{3}{2}  

a)

 n<12n<\frac{1}{2}  

b)

 n>12n>\frac{1}{2}  

c)

 n<52n<\frac{5}{2}  

d)

 n>52n>\frac{5}{2}  

15.

Solve the inequality.

 z−23≥13z-\frac{2}{3}\ge\frac{1}{3}  

a)

 z≤1z\le1  

b)

 z≥1z\ge1  

c)

 z≤13z\le\frac{1}{3}  

d)

 z≥13z\ge\frac{1}{3}  

16.

Solve the inequality.

 −12>−16+t-\frac{1}{2}>-\frac{1}{6}+t  

a)

 t<−23t<\frac{-2}{3}  

b)

 t>−23t>\frac{-2}{3}  

c)

 t<−13t<-\frac{1}{3}  

d)

 t>−13t>-\frac{1}{3}  

17.

Solve the inequality.

 −4.5+q>2.5-4.5+q>2.5  

a)

 q<2q<2  

b)

 q>2q>2  

c)

 q<7q<7  

d)

 q>7q>7  

18.

Solve the inequality.

 d−2.4≤−5.1d-2.4\le-5.1  

a)

 d≤−2.7d\le-2.7  

b)

 d≥−2.7d\ge-2.7  

c)

 d≤7.5d\le7.5  

d)

 d≥7.5d\ge7.5  

19.

Write and solve an inequality to find x.

a)

x<7x<7

b)

x>7x>7

c)

x<33x<33

d)

x>33x>33

20.

Write and solve an inequality to solve for x.

a)

x>6x>6

b)

x≥6x\ge6

c)

x>8x>8

d)

x≥8x\ge8