Understanding Inequalities and Their Graphs

Understanding Inequalities and Their Graphs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve and graph combined inequalities. It starts by solving each individual inequality for X, ensuring to switch the inequality sign when dividing by a negative number. The solutions are then graphed on a number line, with closed and open dots representing the inequalities. Finally, the video demonstrates how to combine the inequalities using union to find the overall solution.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a combined inequality?

Graph the inequalities

Solve each inequality separately

Combine the inequalities immediately

Ignore one of the inequalities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When distributing -3 in the first inequality, what expression do we get?

5 - 6x + 3

5 + 6x - 3

5 - 6x - 3

5 - 3x - 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality on the left?

Multiply both sides by 3

Subtract 5 from both sides

Distribute -3 through the parentheses

Add 3 to both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying the left side of the first inequality, what expression do we have?

2 - 6X is greater than or equal to 14

2 + 6X is greater than or equal to 14

2 - 6X is less than or equal to 14

2 + 6X is less than or equal to 14

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must you remember when dividing both sides of an inequality by a negative number?

The inequality sign is removed

The inequality becomes an equation

The inequality sign switches direction

The inequality sign stays the same

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of combining the X terms in the second inequality?

5x is less than or equal to 15

5x is equal to 15

5x is greater than 15

5x is less than 15

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 4X from both sides in the second inequality?

5x is less than 15

5x is equal to 15

5x is less than or equal to 15

5x is greater than 15

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