Grade 8 Inequality Story Problems

Solve real-world problems involving linear inequalities, translating verbal descriptions into algebraic expressions and representing solutions on number lines.

Grade 8 Math AlgebraInequalitiesInequality Story Problems

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Includes

4 Short Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.6CCSS.MATH.CONTENT.7.EE.B.4.B

Topics

algebrainequalitiesword problemsgrade 8 math

6 sections · Free to use · Printable

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Inequality Story Problems

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Read each problem carefully, write an inequality to represent the situation, solve the inequality, and graph the solution on a number line.

1. Sarah wants to buy a new bicycle that costs $250. She has already saved $100. If she saves $20 per week, what is the minimum number of weeks she needs to save to buy the bicycle?

Write the inequality:

Solve the inequality:

Graph the solution:

2. A taxi ride costs a flat fee of $3.00 plus $1.50 per mile. If John has $15.00, what is the maximum distance he can travel in the taxi?

Write the inequality:

Solve the inequality:

Graph the solution:

3. Emily is babysitting and charges $8 per hour. She wants to earn at least $60 to buy a new video game. What is the minimum number of hours she needs to babysit?

Write the inequality:

Solve the inequality:

Graph the solution:

4. A rectangular garden has a length of 12 feet. If the perimeter of the garden is at most 40 feet, what is the maximum possible width of the garden?

Write the inequality:

Solve the inequality:

Graph the solution: