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Writing Inequalities from Word Problems

Authored by Olivia Dayberry

Mathematics

7th Grade

CCSS covered

Used 38+ times

Writing Inequalities from Word Problems
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10 questions

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1.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

1.75m + 0.65 < 10

1.75m + 0.65 > 10

1.75 + 0.65m ≤ 10

1.75 + 0.65m ≥ 10

Tags

CCSS.7.EE.B.4B

2.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

4r + 1.50 < 25

4r + 1.50 ≤ 25

4 + 1.50r ≥ 25

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000? Write an inequality to represent the situation.

15t + 700 > 1000

15t + 700 < 1000

15t + 700 ≥ 100

15t - 700 ≤ 100

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

SkateLand charges a flat rental rate of $50 for a party and $5 for each person. Cindy has no more than $100 to spend on her party. Write an inequality to represent her situation and determine how many people she can invite to her party.

p < 10

p > 10

p ≤ 10

p ≥ 10

5.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $680. Write and solve an inequality that represents the amount of hours the DJ will play at the dance.

h > 5

h < 5

h ≥ 5

h ≤ 5

6.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

At the end of the day, vegetables at the farmer’s market sell for $3 a pound, and the basket costs an additional $5. If Carol wants to buy a basket and spend no more than $20 total, how many pounds of vegetables can she buy? Write an inequality to justify your answer.

p > 5

p < 5

p ≥ 5

p ≤ 5

7.

MULTIPLE CHOICE QUESTION

10 mins • 10 pts

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $14, how many (maximum #) tacos can they buy? Write an inequality to determine how many tacos they can buy.

t < 6

t > 6

t ≤ 6

t ≥ 6

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