Solving Linear Inequalities: Key Concepts and Techniques

Solving Linear Inequalities: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

CCSS
6.EE.B.8, 7.EE.B.4B, HSA.REI.D.12

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.6.EE.B.8
,
CCSS.7.EE.B.4B
,
CCSS.HSA.REI.D.12

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality 2x + 1 < 17?

Divide both sides by 2

Add 1 to both sides

Subtract 1 from both sides

Multiply both sides by 2

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After subtracting 1 from both sides of the inequality 2x + 1 < 17, what is the resulting inequality?

x < 9

2x < 18

2x < 16

x < 8

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution to the inequality 2x + 1 < 17?

x < 9

x < 7

x < 8

x < 6

Tags

CCSS.6.EE.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing x < 8 on a number line, what type of circle should be used at 8?

No circle

Shaded circle

Open circle

Closed circle

Tags

CCSS.6.EE.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which direction should the arrow point when graphing x < 8 on a number line?

Downwards

Upwards

To the right

To the left

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to have the variable x on the left-hand side when graphing an inequality?

To avoid calculation errors

To simplify the inequality

To ensure the arrow points in the correct direction

To make the graph look neat

Tags

CCSS.6.EE.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a method some teachers use to make the direction of the inequality clearer on a graph?

Using a different color

Using a thicker line

Labeling the points

Drawing an arrow up and over

Tags

CCSS.6.EE.B.8

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