Algebra Inequality Word Problems

Which inequality is represented by the words " at least"?

• <

• >

• ≤

• ≥

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

• let x = Ruby

• let x = the number of weeks to reach her goal

• let x = her monthly allowance

• let x = her savings account

What is the correct inequality for this situation? 7x is at least 14

• 7x > 14

• 7x < 14
  

What is the correct inequality for this word problem? 5 less than a number y is under20

• 5 - y < 20

• y - 5 < 20

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to have more than $150 in her savings account?

• 63

• 125

• 250

• 300

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which solution represents the possible number of video games Adam sold?

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. Which inequality could help you find how many dogs Katie would have to walk to reach her goal?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x < 200

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100