Identifying Variables in Word Problems

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 7x- 24=10

• 7x+ 10=24

• 10+x=14

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.6.EE.B.8

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Tags

CCSS.7.EE.B.4B

Write an equation to represent this word problem.

• 40 - 2f = 8

• 40 + 2f = 8

• 8 - 2f = 40

• 40 = 2f - 8

Tags

CCSS.HSA.CED.A.3

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Use an inequality to determine the maximum number of games Cameron can play.

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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.

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