Worksheet: One-Step First-Degree Inequalities

In this worksheet, we will practice solving first-degree inequalities with one step.

Q1:

Write the solution set of given that .

• A
• B
• C
• D

Q2:

Write the solution set of given that .

• A
• B
• C
• D

Q3:

Determine the solution set of the inequality in .

• A
• B
• C
• D

Q4:

Find the solution set of given that .

• A
• B
• C
• D

Q5:

Write an inequality to describe the following problem, and then solve it: The result of subtracting from a number is less than 21.

• A ,
• B ,
• C ,
• D ,
• E ,

Q6:

What is the solution set of in ?

• A
• B
• C
• D

Q7:

Find the solution set of , given that .

• A
• B
• C
• D
• E

Q8:

Find the solution set of given that .

• A
• B
• C
• D

Q9:

Find the solution set of the inequality , where .

• A
• B
• C
• D
• E

Q10:

Find the solution set of given that .

• A
• B
• C
• D

Q11:

Given that , solve the inequality .

• A
• B
• C
• D
• E

Q12:

Find the solution set of , knowing that .

• A
• B
• C
• D

Q13:

Find the solution set of the inequality , where .

• A
• B
• C
• D

Q14:

Write and solve an inequality to determine the side length of a regular hexagon with a perimeter of at least 12 feet.

• A ,
• B ,
• C ,
• D ,
• E ,

Q15:

Write and solve an inequality for the following problem: 16 more than a number is not more than 29.

• A ,
• B ,
• C ,
• D ,
• E ,

Q16:

Find the solution set of given that .

• A
• B
• C
• D

Q17:

Write the solution set of given that .

• A
• B
• C
• D

Q18:

Find the solution set of the inequality , where .

• A
• B
• C
• D
• E