Two Step Inequality Word Problems

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

What is the least number of cars she can wash to buy the

headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Sylvia 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, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Tags

CCSS.7.EE.B.4B

Dylan decides to takes his friends to a movie with $50 of his birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. Which of the following inequalities can be used to determine the maximum number of friends Dylan could take with him to the movies?

• 6.25x+9.75 ≥ 50

• 6.25x+9.75 ≤ 50

• 9.75x+6.25 ≥ 50

• 9.75x+6.25 ≤ 50

Tags

CCSS.7.EE.B.4B

Solve for t.

6t + 4 ≤ -2

• t ≤ 1

• t ≤ -1

• t=1

• 1=t

Tags

CCSS.7.EE.B.4B

-3y + 2 > 11

• y > 3

• y > -3

• y < 3

• y < -3

Tags

CCSS.7.EE.B.4B

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77

Tags

CCSS.7.EE.B.4B