# Worksheet: One-step Inequalities: Multiplication or Division

In this worksheet, we will practice solving one-step linear inequalities by multiplication or division.

Q1:

Solve for .

• A
• B
• C
• D
• E

Q2:

Solve the following inequality: .

• A
• B
• C
• D
• E

Q3:

If , then .

• A
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• C
• D

Q4:

Solve the following inequality: .

• A
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• D
• E

Q5:

Write an inequality to describe the following, and then solve it: The quotient of a number and 9 is more than 2.

• A,
• B,
• C,
• D,
• E,

Q6:

The solution set of the inequality , where , is a subset of which of the following?

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• E

Q7:

Solve the inequality in .

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• D

Q8:

Solve the inequality in .

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• D
• E

Q9:

Find the solution set of where .

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• D

Q10:

Fill in the blank in the following rule on inequalities: If and , then .

• A
• B
• C

Q11:

Rewrite so that only appears on the left-hand side.

• A
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• D

Q12:

Given that , determine the solution set of the inequality .

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• D

Q13:

Find the solution set of given that .

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• C
• D

Q14:

Which of the following inequalities is equivalent to ?

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• C
• D
• E

Q15:

Find the solution set of the inequality in . Give your answer in interval notation.

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• D
• E

Q16:

Emma wants to send books to a friend. She has a prepaid parcel bag in which she can send items weighing up to 1 kg. Given that each book weighs 120 g, which of the following describes the condition on , the number of books that Emma can send in her prepaid parcel bag?

• A
• B
• C
• D
• E

Q17:

Solve the inequality for .

• A
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• D
• E

Q18:

Select the option that is equivalent to .

• A
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• C
• D

Q19:

Write an inequality to describe the following, and then solve it: Negative five times a number is at least .

• A,
• B,
• C,
• D,
• E,

Q20:

Which of the following inequalities is equivalent to ?

• A
• B
• C
• D
• E

Q21:

Which of the following inequalities has a solution that involves reversing its sign?

• A
• B
• C
• D
• E

Q22:

Which of the following inequalities is equivalent to ?

• A
• B
• C
• D
• E

Q23:

Solve the following inequality: .

• A
• B
• C
• D

Q24:

Which of the following inequalities is equivalent to ?

• A
• B
• C
• D

Q25:

A shipping company is loading boxes onto a truck. The truck can carry a maximum of 6,500 pounds of cargo. If each box weighs 100 pounds, write and solve an inequality that can be used to find the number of boxes loaded onto the truck.

• A,
• B,
• C,
• D,
• E,