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Inequality Word Problems: Context and Combining Terms

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Inequality Word Problems: Context and Combining Terms
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. Sarah has twice as many marbles as Tom. If Tom has x marbles, write an inequality to represent the situation if Sarah has at least 10 marbles. Solve for x and interpret the solution in context.

x > 10

x < 5

x = 7

x >= 5

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2. A concert hall can hold a maximum of 500 people. If tickets are sold for $15 each and the cost of organizing the concert is $2000, write an inequality to find the minimum number of tickets that must be sold to break even. Solve and interpret the result.

300

200

450

134

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. A store sells pencils for $0.50 each and erasers for $0.75 each. If a student spends no more than $10, write an inequality to represent the number of pencils (p) and erasers (e) they can buy. Solve for e in terms of p and interpret the solution.

e ≤ (40/3) - (2/3)p

e ≤ 15 - 0.75p

e ≤ 10 - p

e ≤ 20 - 0.5p

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. A gardener has 30 feet of fencing to create a rectangular garden. If the length is represented by x and the width by y, write an inequality for the perimeter and solve for y in terms of x. Interpret the solution in the context of the garden's dimensions.

y ≥ 15 - x

y = 30 - x

y < 15 - x

y ≤ 15 - x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the miles driven (m). Solve for m and interpret the solution in context.

m ≤ 300

m ≤ 250

m ≤ 150

m ≤ 200

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. A school is planning a field trip and has a budget of $1200. If each student pays $30 and there are x students, write an inequality to represent the maximum number of students that can attend. Solve for x and interpret the solution in context.

x ≤ 40

x ≤ 20

x ≤ 50

x ≤ 30

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7. A recipe requires 2 cups of flour and 3 cups of sugar. If you have x cups of flour and y cups of sugar, write an inequality to represent the situation if you want to make at least 5 batches of the recipe. Solve for y in terms of x and interpret the solution.

y <= 20

y = 12

y >= 15

y >= 10

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