Match Inequality Word Problem

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Miranda is buying pencils and a writing pad for her adult writing class. The writing pad will cost $3.50, and each pencil is $0.15. She wants to spend no more than $5 total for these items.

• 3.50 + .15p ≤ 5.00

• 3.50p + .15p < 5

• 5p - 15 > 3.50

• not here

The admission fee to an arcade is $1.25 per person and it costs $.50 for each game played. Joey has $10 from his allowance to spend. Which inequality represents Joey getting the most out his $10 allowance.

• 1.25+.50g ≤ 10

• 1.25-.50g ≤ 10

• 1.25+.50g ≥ 10

• 1.25- .50g ≥ 10

Eleisa has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Eleisa can buy. 

• 60 + 22x < 8

• 8x + 22 ≤ 60

• 8x + 22 ≥ 60

• 22x + 8 ≤ 60

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month.

Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

• 3

• 4

• 5

• 6

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

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62

• k > 62

• k < 62

• k ≥ 62

Kendall has at least 20 sports cards. Which inequality represents the number of sports cards he has?

• c > 20

• c < 20

• c ≤ 20

• c ≥ 20

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

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36