∣ m ∣ 5 = 3 \frac{\left|m\right|}{5}=3 5 ∣ m ∣ = 3

{ 3 5 , − 3 5 } \left\{\frac{3}{5},-\frac{3}{5}\right\} { 5 3 , − 5 3 }

4 ∣ n + 8 ∣ = 56 4\left|n+8\right|=56 4 ∣ n + 8 ∣ = 5 6

{ 51 8 , − 51 8 } \left\{\frac{51}{8},\frac{-51}{8}\right\} { 8 5 1 , 8 − 5 1 }

− 5 ∣ 3 + 4 k ∣ = − 115 -5\left|3+4k\right|=-115 − 5 ∣ 3 + 4 k ∣ = − 1 1 5

{ 5 , − 13 2 } \left\{5,\frac{-13}{2}\right\} { 5 , 2 − 1 3 }

∣ 7 p + 4 ∣ 8 = 3 \frac{\left|7p+4\right|}{8}=3 8 ∣ 7 p + 4 ∣ = 3

{ 20 7 , − 4 } \left\{\frac{20}{7},-4\right\} { 7 2 0 , − 4 }

{ 7 20 , 10 } \left\{\frac{7}{20},10\right\} { 2 0 7 , 1 0 }

6 ∣ 1 − 5 x ∣ − 9 = 57 6\left|1-5x\right|-9=57 6 ∣ 1 − 5 x ∣ − 9 = 5 7

{ − 2 , 12 5 } \left\{-2,\frac{12}{5}\right\} { − 2 , 5 1 2 }

{ 2 , − 15 4 } \left\{2,\frac{-15}{4}\right\} { 2 , 4 − 1 5 }

3 ∣ 3 − 5 r ∣ − 3 = 18 3\left|3-5r\right|-3=18 3 ∣ 3 − 5 r ∣ − 3 = 1 8

{ − 4 5 , 2 } \left\{\frac{-4}{5},2\right\} { 5 − 4 , 2 }

{ 4 3 , − 1 } \left\{\frac{4}{3},-1\right\} { 3 4 , − 1 }

Solving Absolute Value Equations

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.B.3, HSA.REI.A.1, HSA.CED.A.1

+1

Standards-aligned

PASCALE HAUG

Used 401+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|6m\right|=42$

{7,-7}

{6,-6}

{6,0}

{-7,6}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|-6x\right|=30$

{4,-4}

{5,0}

{-5,5}

{3,-10}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|k-10\right|=3$

{-3,10}

{10,-10}

{-7,-13}

{13,7}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|\frac{x}{7}\right|=3$

{21,-21}

{4,-4}

{10,-10}

{10,-4}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|7+p\right|=7$

{0,-1}

{0,-14}

{0,0}

{1,-1}

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|-3p\right|=15$

{12,5}

{-5,18}

{18,12}

{-5,5}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$7\left|n\right|=56$

{-8,0}

{49,53}

{8,-8}

{49,14}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\frac{\left|m\right|}{5}=3$

{15,-15}

$\left\{\frac{3}{5},-\frac{3}{5}\right\}$

{2,-2}

{8,-8}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|n\right|+1=2$

{2,-2}

{3,-3}

{1,-1}

{1,2}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\frac{\left|a-5\right|}{8}=5$

{45,-35}

{48,34}

{80,0}

{36,47}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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Solving Absolute Value Equations

20 questions

∣6m∣=42\left|6m\right|=42∣6m∣=42

∣−6x∣=30\left|-6x\right|=30∣−6x∣=30

∣k−10∣=3\left|k-10\right|=3∣k−10∣=3

∣x7∣=3\left|\frac{x}{7}\right|=3∣∣∣​7x​∣∣∣​=3

∣7+p∣=7\left|7+p\right|=7∣7+p∣=7

∣−3p∣=15\left|-3p\right|=15∣−3p∣=15

7∣n∣=567\left|n\right|=567∣n∣=56

∣m∣5=3\frac{\left|m\right|}{5}=35∣m∣​=3

∣n∣+1=2\left|n\right|+1=2∣n∣+1=2

∣a−5∣8=5\frac{\left|a-5\right|}{8}=58∣a−5∣​=5

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$\left|6m\right|=42$

$\left|-6x\right|=30$

$\left|k-10\right|=3$

$\left|\frac{x}{7}\right|=3$

$\left|7+p\right|=7$

$\left|-3p\right|=15$

$7\left|n\right|=56$

$\frac{\left|m\right|}{5}=3$

$\left|n\right|+1=2$

$\frac{\left|a-5\right|}{8}=5$