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Solving Inequalities with Variables on Both Sides

Solving Inequalities with Variables on Both Sides

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.7B

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.EE.C.7B

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality 15B + 6 > 9B - 36?

Add 9B to both sides

Subtract 9B from both sides

Add 6 to both sides

Subtract 6 from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After moving the variable terms to one side in the inequality 15B + 6 > 9B - 36, what is the resulting inequality?

6B + 6 > -36

24B + 6 > -36

6B - 6 > -36

24B - 6 > -36

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality -12K + 28 < 18K + 88, what operation is used to move 18K to the left side?

Division

Subtraction

Addition

Multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the inequality -12K + 28 < 18K + 88?

K > 2

K < 2

K > -2

K < -2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality 11 + 2C <= 6 - 3C, what is the result after moving 2C to the right side?

11 >= 6 + 5C

11 >= 6 - 5C

11 <= 6 + 5C

11 <= 6 - 5C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the inequality 11 + 2C <= 6 - 3C?

C <= -1

C <= 1

C >= 1

C >= -1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality 2(n - 5) >= 30 - 8n, what is the first step?

Add 8n to both sides

Subtract 8n from both sides

Distribute 2 to (n - 5)

Distribute -8 to (n - 5)

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