Which set of equations are formulated correctly to solve for x for the following absolute value equation: ∣ x + 6 ∣ = 4 \left|x+6\right|=4 ∣ x + 6 ∣ = 4

x + 6 = 4 a n d x + 6 = − 4 x+6=4\ and\ x+6=-4 x + 6 = 4 a n d x + 6 = − 4

x + 6 = 4 a n d x − 6 = 4 x+6=4\ and\ x-6=4 x + 6 = 4 a n d x − 6 = 4

x + 6 = 4 a n d − x + 6 = 4 x+6=4\ and\ -x+6=4 x + 6 = 4 a n d − x + 6 = 4

x + 6 = 4 a n d − x − 6 = − 4 x+6=4\ and\ -x-6=-4 x + 6 = 4 a n d − x − 6 = − 4

Which set of inequalitie are formulated correctly to solve for x for the following absolute value inequality: ∣ x − 3 ∣ > 7 \left|x-3\right|>7 ∣ x − 3 ∣ > 7

x − 3 > 7 a n d x − 3 < − 7 x-3>7\ and\ x-3<-7 x − 3 > 7 a n d x − 3 < − 7

x − 3 > 7 a n d x − 3 > − 7 x-3>7\ and\ x-3>-7 x − 3 > 7 a n d x − 3 > − 7

x − 3 > 7 a n d x + 3 < 7 x-3>7\ and\ x+3<7 x − 3 > 7 a n d x + 3 < 7

x − 3 > 7 a n d x − 3 < 7 x-3>7\ and\ x-3<7 x − 3 > 7 a n d x − 3 < 7

Absolute Value Equations and Inequalities Quiz

12 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$\left|23\right|=?$

Tags

CCSS.6.NS.C.7

2.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$\left|-16\right|=?$

Tags

CCSS.6.NS.C.7

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the equation have:
$\left|x-2\right|=6$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the equation have:
$\left|x+3\right|=-4$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the equation have:
$\left|x-13\right|-5=-5$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the inequality have:
$\left|x+5\right|<2$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the inequality have:
$2\left|x+5\right|-7>49$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the inequality have:
$\left|x-4\right|>-6$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many solutions will the inequality have:
$\left|x+2\right|<-9$

no solutions

1

2

All Real numbers

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the first step to figure out the solutions for x in the following equation:
$\left|x-3\right|+2\ =\ 6$

Solve the equation

Create two new equations, one positive and one negative

Isolate the absolute value expression

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

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Absolute Value Equations and Inequalities

∣23∣=?\left|23\right|=?∣23∣=?

∣−16∣=?\left|-16\right|=?∣−16∣=?

How many solutions will the equation have: ∣x−2∣=6\left|x-2\right|=6∣x−2∣=6

How many solutions will the equation have: ∣x+3∣=−4\left|x+3\right|=-4∣x+3∣=−4

How many solutions will the equation have: ∣x−13∣−5=−5\left|x-13\right|-5=-5∣x−13∣−5=−5

How many solutions will the inequality have: ∣x+5∣<2\left|x+5\right|<2∣x+5∣<2

How many solutions will the inequality have: 2∣x+5∣−7>492\left|x+5\right|-7>492∣x+5∣−7>49

How many solutions will the inequality have: ∣x−4∣>−6\left|x-4\right|>-6∣x−4∣>−6

How many solutions will the inequality have: ∣x+2∣<−9\left|x+2\right|<-9∣x+2∣<−9

What is the first step to figure out the solutions for x in the following equation: ∣x−3∣+2 = 6\left|x-3\right|+2\ =\ 6∣x−3∣+2 = 6

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$\left|23\right|=?$

$\left|-16\right|=?$

How many solutions will the equation have:
$\left|x-2\right|=6$

How many solutions will the equation have:
$\left|x+3\right|=-4$

How many solutions will the equation have:
$\left|x-13\right|-5=-5$

How many solutions will the inequality have:
$\left|x+5\right|<2$

How many solutions will the inequality have:
$2\left|x+5\right|-7>49$

How many solutions will the inequality have:
$\left|x-4\right|>-6$

How many solutions will the inequality have:
$\left|x+2\right|<-9$

What is the first step to figure out the solutions for x in the following equation:
$\left|x-3\right|+2\ =\ 6$