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Inequalities Worksheet

Inequalities Worksheet
  • Page 1
 1.  
Write the inequality, z 5> 30, as a word sentence.
a.
Carol has z candies. She divided equally among 5 children. Each child got 30 candies.
b.
Carol has z candies. She divided them equally among 5 children. Each child got less than 30 candies.
c.
Mary has z candies. She divided them equally among 6 children. Each child got less than 30 candies.
d.
Mary has z candies. She divided them equally among 5 children. Each child got more than 30 candies.


Solution:

'Mary has z candies. She divided them equally among 6 children. Each child got less than 30 candies', is represented by ' z / 6< 30 '.

'Carol has z candies. She divided equally among 5 children. Each child got 30 candies', is represented by ' z / 5= 30 '.

'Carol has z candies. She divided them equally among 5 children. Each child got less than 30 candies', is represented by ' z / 5< 30 '.

'Mary has z candies. She divided them equally among 5 children. Each child got more than 30 candies', is represented by ' z / 5> 30 '.

The inequality ' z / 5> 30 ' represents to the situation 'Mary has z candies. She divided them equally among 5 children. Each child got more than 30 candies'.


Correct answer : (4)
 2.  
Write the inequality, y × 5 < 30, as a word sentence.
a.
Maria bought y ribbons for $5 each. She paid more than $30.
b.
Maria bought y ribbons for $6 each. She paid more than $30.
c.
Maria bought y ribbons for $6 each. She paid less than $30.
d.
Maria bought y ribbons for $5 each. She paid less than $30.


Solution:

'Maria bought y ribbons for $5 each. She paid more than $30', is represented by 'y × 5 > 30'.

'Maria bought y ribbons for $6 each. She paid less than $30', is represented by 'Y × 6 < 30'.

'Maria bought y ribbons for $6 each. She paid more than $30', is represented by 'Y × 6 > 30'.

'Maria bought y ribbons for $5 each. She paid less than $30', is represented by 'Y × 5 < 30'.

The inequality 'y × 5 < 30' is represented by the situation 'Maria bought y ribbons for $5 each. She paid less than $30'.


Correct answer : (4)
 3.  
Which of the following best describes the inequality, 9x < 200?
a.
Cost of x items at $9 each is less than $200.
b.
Cost of x items at $9 each is decreased by $200.
c.
Cost of x items at $9 each is more than $200.
d.
Cost of x items at $9 each is increased by $200.


Solution:

'Cost of x items at $9 each is decreased by $200', is represented by '9x - 200'.

'Cost of x items at $9 each is more than $200', is represented by '9x > 200'

'Cost of x items at $9 each is increased by $200', is represented by '9x + 200'.

'Cost of x items at $9 each is less than $200', is represented by '9x < 200'.

The inequality '9x < 200' is represented by the situation 'Cost of x items at $9 each is less than $200'.


Correct answer : (1)
 4.  
Write the inequality, x - 5 > 30, as a word sentence.
a.
Clara had x flowers. She got 5 more from Rosy. Number of flowers she had is less than 30.
b.
Clara had x flowers. She gave 5 to Rosy. Number of flowers she had is more than 30.
c.
Clara had x flowers. She got 5 more from Rosy. Number of flowers she had is more than 30.
d.
Clara had x flowers. She gave 5 to Rosy. Number of flowers she had is less than 30.


Solution:

'Clara had x flowers. She got 5 more from Rosy. Number of flowers she had is more than 30', is represented by ' x + 5 > 30'.

'Clara had x flowers. She gave 5 to Rosy. Number of flowers she had is less than 30', is represented by ' x - 5 < 30'.

'Clara had x flowers. She got 5 more from Rosy. Number of flowers she had is less than 30', is represented by ' x + 5 < 30'.

'Clara had x flowers. She gave 5 to Rosy. Number of flowers she had is more than 30', is represented by ' x - 5 > 30'

The inequality 'x - 5 > 30' is represented by the situation, 'Clara had x flowers. She gave 5 to Rosy. Number of flowers she had is more than 30'.


Correct answer : (2)
 5.  
Identify a graph that shows x ≤ 5.


a.
Graph 4
b.
Graph 3
c.
Graph 2
d.
Graph 1


Answer: (b)


Correct answer : (2)
 6.  
Which of the graphs represents the inequality, a + 3 > 2?


a.
Graph 1
b.
Graph 3
c.
Graph 4
d.
Graph 2


Answer: (d)


Correct answer : (4)
 7.  
Which inequality is represented by the graph?


a.
5x < 10
b.
4x < - 2
c.
9 > 3y
d.
2x > 4


Answer: (d)


Correct answer : (4)
 8.  
Which of the graphs represents the inequality, b > - 5?

a.
Graph 4
b.
Graph 3
c.
Graph 1
d.
Graph 2


Answer: (d)


Correct answer : (4)
 9.  
Identify a graph that represents the inequality, h - 7 ≤ - 5.

a.
Graph 2
b.
Graph 4
c.
Graph 3
d.
Graph 1


Answer: (d)


Correct answer : (4)
 10.  
Write an inequality for the graph.

a.
x > 0
b.
x ≤ 0
c.
x < 0
d.
x ≥ 0


Solution:

A solution of an inequality is any value of the variable that makes the inequality true.

An open circle means 0 is not a solution of the inequality.

So, the inequality represented by the graph is x < 0.


Correct answer : (3)

More Inequalities Worksheet
Inequalities Word Problems
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