Writing Inequalities

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 inequality represents this situation?

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

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

Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. All of the breadsticks cost her $24. Pizzas are $13 each. How many pizza's can she buy without going over her budget? Write an inequality to represent this situation.

• 24 + 13y < 81

• 24 + 13y ≥ 81

• 24 + 13y ≤ 81

• 24 + 13y > 81

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which inequality below can be used to determine how many cars she has to wash to have enough money?

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year? 

• 3y > 63
• 3y < 63
• 3y ≤ 63
• 3y ≥ 63

Tucker lost fewer than 9 points. Which inequality represents the situation? 

• p > 9
• p < 9
• p ≥ 9
• p ≤ 9

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

What is the correct inequality for this statement? x is at most 30

• x < 30

• x > 30

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?