Absolute Value Equations and Extraneous Solutions

Absolute Value Equations and Extraneous Solutions

9th Grade

15 Qs

quiz-placeholder

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Absolute Value Equations and Extraneous Solutions

Absolute Value Equations and Extraneous Solutions

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

Created by

Anthony Clark

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

| 2x + 12 | < 8

Which is the correct first step?

2x + 12 < 8 and 2x+12 > -8

2x + 12 < 8 or 2x+12 > -8

2x + 12 < 8 and 2x+12 < -8

2x + 12 < 8 or 2x+12 < -8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the correct first step?

divide by 10

multiply by 10

make it two inequalities with an "or"

make it two inequalities with and "and"

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

4|5x-2|+7>39

-6/5<x>2

x=2 or x=-6/5

x=2 and x=-6/5

x<-6/5 or x>2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution of ∣5x-2∣=7x+14?

x=-1

x=-1, x=-8

x=-8

no solutions

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An extraneous solution is

not a concern when solving absolute value equations

an apparent solution that must be rejected because it does not satisfy the original equation

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An absolute value equation is

an equation that contains an absolute value expression

always going to have two solutions

always going to have one solution

impossible to solve

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

|a| ≥ 0

The absolute value of a number is always negative

The absolute value of a number is always positive or zero

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