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Solving Compound Inequalities Challenge

Solving Compound Inequalities Challenge

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
7.EE.B.4B

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.7.EE.B.4B
The video tutorial covers solving and graphing compound inequalities. It begins with a review of simple inequalities and progresses to compound inequalities, including both 'and' and 'or' types. The instructor demonstrates solving these inequalities step-by-step and graphing their solutions on a number line. Key concepts such as flipping inequality signs when dividing by negative numbers are also explained.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality 80 > 4x + 12?

Add 12 to both sides

Subtract 12 from both sides

Multiply both sides by 4

Divide both sides by 4

Tags

CCSS.7.EE.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After solving the inequality 80 > 4x + 12, what is the value of x?

x < 17

x > 17

x = 17

x ≤ 17

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the compound inequality -3 < 2x + 5 ≤ 19, what is the first step to isolate the x term?

Multiply all sections by 2

Add 5 to all sections

Subtract 5 from all sections

Divide all sections by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the compound inequality -3 < 2x + 5 ≤ 19?

-4 ≤ x ≤ 7

-4 ≤ x < 7

-4 < x < 7

-4 < x ≤ 7

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In the inequality -50 < 7x + 6 < -8, what is the result after subtracting 6 from all sections?

-56 < 7x < -2

-56 < 7x < -8

-56 < 7x < -14

-56 < 7x < -14

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the compound inequality -50 < 7x + 6 < -8?

-8 < x < -2

-8 ≤ x ≤ -2

-8 < x ≤ -2

-8 ≤ x < -2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality 3y - 2 > 7, what is the first step to isolate the y term?

Subtract 2 from both sides

Multiply both sides by 3

Divide both sides by 3

Add 2 to both sides

Tags

CCSS.7.EE.B.4B

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