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Find Solutions of an Inequality

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Find Solutions of an Inequality
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You want to solve the given inequality for y.  After applying the Distributive Property, what is the next step?  Solve for y.
3(6y - 6) ≤ -90

Subtract 18 from both sides; y ≤ -4

Add 18 to both sides; y ≤ -4

Add 6 to both sides; y ≥ -4

Subtract 6 from both sides; y ≥ -4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The initial cost to rent a bike is $4.  Each hour the bike is rented costs $1.50. Joey is going to rent a bike and can spend at most $10.  Write and solve an inequality to find how long he can rent the bike.

1.50n + 10 ≥ 4; n ≥ 4 hours

1.50n + 10 ≤ 4; n ≤ 4 hours

1.50n + 4 ≥ 4; n ≥ 4 hours

1.50n + 4 ≤ 10; n ≤ 4 hours

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which situation does the inequality
9 + 5n ≤ 60 represent?

You need to read 60 pages of a novel.  You read 9 pages per minute.  After how many minutes will you have fewer than 5 pages left?

You have $60 to buy your friends lunch.  If each lunch costs $5 and you plan to share a $9 dessert, how many friends can you bring?

You have $60 to buy your friends lunch.  If each lunch costs $9 and you plan to share a $5 dessert, how many friends can you bring?

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which inequality matches the graph?

x<3

x>3

x<3

x>3

Tags

CCSS.6.EE.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How many solutions does the inequality x < 4 have?

No solution.

Exactly one solution.

Exactly three solutions.

Infinitely many solutions.

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Match the graph with its inequality.

11 < a

11 > a

 11 ≤ a

 11 ≥ a

Tags

CCSS.6.EE.B.8

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Pick the correct letter for:
6 > x

A

B

C

D

Tags

CCSS.6.EE.B.8

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