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Understanding Two-Step Inequalities

Authored by Leticia Smith

Mathematics

7th Grade

CCSS covered

Understanding Two-Step Inequalities
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the key difference when solving inequalities compared to equations?

There is no difference in the method.

You reverse the inequality symbol when adding or subtracting.

You must use a different set of numbers.

You reverse the inequality symbol when multiplying or dividing by a negative number.

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the first step in solving the inequality 6x - 7 ≥ 35?

Subtract 7 from both sides

Multiply both sides by 6

Divide both sides by 6

Add 7 to both sides

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

After adding 7 to both sides in the inequality 6x - 7 ≥ 35, what is the next step?

Add 6 to both sides

Subtract 6 from both sides

Multiply both sides by 6

Divide both sides by 6

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

What must you do when you multiply or divide both sides of an inequality by a negative number?

Add 1 to both sides

Subtract 1 from both sides

Reverse the inequality symbol

Do nothing different

Tags

CCSS.6.EE.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

In the inequality W over -4 + 3 ≥ -6, what is the first step to isolate W?

Multiply both sides by -4

Add 3 to both sides

Divide both sides by -4

Subtract 3 from both sides

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

What is the final solution for the inequality -5(x + 9) < 30 after solving?

x < 5

x > 5

x > -5

x < -5

Tags

CCSS.7.EE.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

After simplifying the inequality 7x + 32 - 9x ≤ 27 - 3, what is the simplified form?

32 - 2x ≤ 24

32 - 2x ≤ 14

-2x + 32 ≤ 24

-2x + 32 ≤ 14

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