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Two-Step Inequalities Word Problems

Authored by Jacob Rector

Mathematics

6th - 8th Grade

CCSS covered

Used 1+ times

Two-Step Inequalities Word Problems
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8 questions

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1.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Use w to represent weeks.

Ian needs to save at least $85.00 for a new pair of basketball shoes. He has $25.00 in his

piggy bank, and can save $12.00 from his allowance each week. How many weeks will

Ian need to save to earn at least $85.00?

Mathematical Equivalence

ON

2.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let w represent weeks.

The vet told Sarah that her dog should weigh at most 70 pounds. Her dog weighs 106

pounds, so Sarah set a goal that he would lose 4 pounds per week. How many weeks

will it take for Sarah’s dog to weigh 70 pounds or less?

Mathematical Equivalence

ON

3.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let x represent hours.

The temperature in the ice rink must stay below 50° F. This morning the temperature

was 71°F. The ice rink runs a cooling device, that can decrease the temperature by 3.5°

every hour. How many hours will it take for the temperature to fall below 50°?

Mathematical Equivalence

ON

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let m represent minutes.

Zoe and her dad go on a hot air balloon ride over the weekend. In order to remain safe,

they cannot exceed an elevation of 450 feet. If they start at an elevation of 120 feet, and

rise at a rate of 15 feet per minute, how many minutes can they continue to rise?

Mathematical Equivalence

ON

5.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let v represent volleyballs.

The volleyball team at Grady High School raised $350 to buy a new net, and some

volleyballs. The net costs $180, and each ball costs $17.00. If the team does not want

to exceed the amount of money they raised, how many volleyballs can they buy?

Mathematical Equivalence

ON

6.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let x represent days.

Will has -­‐$55.00 in his bank account. If he saves the $2.50 his mom gives him for lunch

every day, how many days will it be until he has a balance of at least $0?

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the solution. Let x represent hours.

In order to keep a specific bacteria alive, the temperature in a science lab, cannot

exceed -­‐20°F. The electricity went out, when the temperature was -­‐72°F, but is

increasing at a rate of 6.5° per hour. How many hours do the scientist have until the

bacteria is not safe?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.8

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