Inequalities Worksheet

**Page 1**

1.

Write the inequality, $\frac{\mathrm{z}}{5}$> 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. |

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

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

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

The inequality '

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. |

'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. |

'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. |

'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 |

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 |

Correct answer : (4)

7.

Which inequality is represented by the graph?

a. | 5$x$ < 10 | ||

b. | 4$x$ < - 2 | ||

c. | 9 > 3$y$ | ||

d. | 2$x$ > 4 |

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 |

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 |

Correct answer : (4)

10.

Write an inequality for the graph.

a. | $x$ > 0 | ||

b. | $x$ ≤ 0 | ||

c. | $x$ < 0 | ||

d. | $x$ ≥ 0 |

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

So, the inequality represented by the graph is

Correct answer : (3)

More Inequalities Worksheet | |

Inequalities Word Problems | |