Solving Inequalities with Negative Coefficients

Solving Inequalities with Negative Coefficients

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, 7.EE.B.4B

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.6.EE.B.8
,
CCSS.7.EE.B.4B

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it often easier to work with positive coefficients in inequalities?

Negative coefficients are not allowed in inequalities.

Positive coefficients simplify the arithmetic.

Positive coefficients make the inequality true.

Positive coefficients are always larger.

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality -5x + 7 ≥ 12?

Multiply by 5.

Divide by -5.

Subtract 7 from both sides.

Add 5x to both sides.

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After subtracting 7 from both sides in the inequality -5x + 7 ≥ 12, what is the resulting inequality?

5x ≤ 5

5x ≥ 5

-5x ≤ 5

-5x ≥ 5

Tags

CCSS.6.EE.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you get when you add 5x to both sides of the inequality -5x + 7 ≥ 12?

0 ≤ 5 + 5x

0 ≥ 5 + 5x

5x ≤ 5

5x ≥ 5

Tags

CCSS.7.EE.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rewrite the inequality -1 ≥ x?

x ≥ -1

x < -1

x ≤ -1

x > -1

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of graphing the inequality x ≤ -1?

To check if the inequality is correct.

To visually represent the solution set.

To find the exact value of x.

To compare it with other inequalities.

Tags

CCSS.6.EE.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality 10 - 3x > 37?

Divide by 3.

Subtract 37 from both sides.

Add 3x to both sides.

Subtract 10 from both sides.

Tags

CCSS.7.EE.B.4B

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