Word Problems with One Variable Inequalities

Multiple Choice

Solve the inequality:

–2x > –10

• x > 5

• x < 5

• x > –5

• x < –5

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Multiple Choice

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12
• 2x + 8 > 12
• 2(x+8) ≠ 12
• 8(2+x) 

Multiple Choice

Jo has 8 friends and makes 2 new friends per week. She doesn't want any more than 16 friends. Create an inequality to determine the number of weeks it will take Jo to reach her desired number of friends.

• 2x + 8 ≤ 16
• 16x +8 < 2
• 8x +2 ≤ 16
• 2x + 16 < 8

Multiple Choice

Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?

• 7x + 265 < 400

• 7x + 265 ≤ 400

• 7x + 265 > 400

• 7x + 265 ≥ 400