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Solving Absolute Value Equations

Solving Absolute Value Equations

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.CED.A.3

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSA.CED.A.3
This video tutorial covers the concept of absolute value equations, explaining their definition and how to solve them. It begins with an introduction to the theory behind absolute value equations, followed by basic and advanced examples. The tutorial also addresses special cases where solutions may not exist. Finally, it applies the concept to a real-world problem involving weight limits, demonstrating how to set up and solve an absolute value equation in a practical context.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an absolute value equation?

An equation that always has a single solution

An equation with only positive numbers

An equation with no variables

An equation that includes at least one absolute value expression

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the absolute value of x equals 5, what are the possible values of x?

5 and -5

5 and -10

5 and 0

5 and 10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve an absolute value equation like |x| = 11?

x = 11 or x = 22

x = 11 or x = -11

x = 11 or x = 0

x = 11 or x = -22

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation |Q + 3| = 6?

Rewrite as Q + 3 = 6 or Q + 3 = -6

Rewrite as Q + 3 = 6 or Q + 3 = 0

Subtract 3 from both sides

Add 3 to both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 4|y| = 24, what is the value of y?

12 or -12

4 or -4

24 or -24

6 or -6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve the equation |Z - 3| = 4?

Z = 3 or Z = -3

Z = 1 or Z = -7

Z = 4 or Z = -4

Z = 7 or Z = -1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the equation |x - 5| = 0?

x = 0

x = 10

x = -5

x = 5

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