6C 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.

Which of the following inequalities can be used to determine the least number of cars she can wash to buy the headphones?

• 30x+14 ≤ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 14x+30 ≥ 240

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

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, how many weeks will it take her to reach her goal?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Dylan decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylan could take with him to the movies?

• x ≥ 6

• x ≤ 6

• x ≥ 7

• x ≤ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Solve for t.

6t + 4 ≤ -2

• t ≤ 1

• t ≤ -1

• t=1

• 1=t

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-3y + 2 > 11

• y > 3

• y > -3

• y < 3

• y < -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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