Solve the absolute value equation for v: ∣ v + 8 ∣ − 5 = 2 \left|v+8\right|-5=2 ∣ v + 8 ∣ − 5 = 2

{ − 1 , − 15 } \left\{-1,-15\right\} { − 1 , − 1 5 }

{ − 1 , − 5 } \left\{-1,-5\right\} { − 1 , − 5 }

{ − 15 , 15 } \left\{-15,15\right\} { − 1 5 , 1 5 }

Solve for r: − 2 ∣ − 2 r − 4 ∣ = − 12 -2\left|-2r-4\right|=-12 − 2 ∣ − 2 r − 4 ∣ = − 1 2

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

{ 3 , 1 } \left\{3,1\right\} { 3 , 1 }

{ − 3 } \left\{-3\right\} { − 3 }

Solve for n: ∣ 2 n ∣ + 10 = − 50 \left|2n\right|+10=-50 ∣ 2 n ∣ + 1 0 = − 5 0

{ 30 , − 30 } \left\{30,-30\right\} { 3 0 , − 3 0 }

{ 20 , − 20 } \left\{20,-20\right\} { 2 0 , − 2 0 }

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

Solve for x: 3 ∣ − 8 x ∣ + 8 = 80 3\left|-8x\right|+8=80 3 ∣ − 8 x ∣ + 8 = 8 0

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

{ − 7 3 , 7 3 } \left\{-\frac{7}{3},\frac{7}{3}\right\} { − 3 7 , 3 7 }

{ 11 3 , − 11 3 } \left\{\frac{11}{3},-\frac{11}{3}\right\} { 3 1 1 , − 3 1 1 }

Solve for x: ∣ x − 12 ∣ − 3 = 11 \left|x-12\right|-3=11 ∣ x − 1 2 ∣ − 3 = 1 1

{ − 2 , 26 } \left\{-2,26\right\} { − 2 , 2 6 }

{ − 2 , − 26 } \left\{-2,-26\right\} { − 2 , − 2 6 }

{ 3 , 25 } \left\{3,25\right\} { 3 , 2 5 }

{ 4 , − 7 } \left\{4,-7\right\} { 4 , − 7 }

Solve for r: − 2 ∣ − 2 r − 4 ∣ = − 12 -2\left|-2r-4\right|=-12 − 2 ∣ − 2 r − 4 ∣ = − 1 2

{ − 5 , 1 } \left\{-5,1\right\} { − 5 , 1 }

{ 5 , 1 } \left\{5,1\right\} { 5 , 1 }

{ − 5 , − 1 } \left\{-5,-1\right\} { − 5 , − 1 }

Solve for x: ∣ 3 x − 6 ∣ − 9 = − 3 \left|3x-6\right|-9=-3 ∣ 3 x − 6 ∣ − 9 = − 3

{ 0 , 4 } \left\{0,4\right\} { 0 , 4 }

{ 2 , − 2 } \left\{2,-2\right\} { 2 , − 2 }

{ − 4 , 4 } \left\{-4,4\right\} { − 4 , 4 }

Solve for r: 8 − 9 ∣ 10 r − 9 ∣ = − 73 8-9\left|10r-9\right|=-73 8 − 9 ∣ 1 0 r − 9 ∣ = − 7 3

r = 9 5 , r = 0 r=\frac{9}{5},\ r=0 r = 5 9 , r = 0

r = 0 , r = 5 r=0,\ r=5 r = 0 , r = 5

r = 9 5 , r = 1 r=\frac{9}{5},\ r=1 r = 5 9 , r = 1

r = − 63 10 , r = 0 r=-\frac{63}{10},\ r=0 r = − 1 0 6 3 , r = 0

Solve for x: 8 + 3 ∣ 4 x − 6 ∣ = 38 8+3\left|4x-6\right|=38 8 + 3 ∣ 4 x − 6 ∣ = 3 8

x = − 1 , x = 4 x=-1,\ x=4 x = − 1 , x = 4

x = − 1 , x = 0 x=-1,\ x=0 x = − 1 , x = 0

x = − 4 , x = 0 x=-4,\ x=0 x = − 4 , x = 0

Solve for x: 8 ∣ − 2 x + 4 ∣ = 96 8\left|-2x+4\right|=96 8 ∣ − 2 x + 4 ∣ = 9 6

x = − 4 , x = 8 x=-4,\ x=8 x = − 4 , x = 8

x = − 4 , x = − 8 x=-4,\ x=-8 x = − 4 , x = − 8

x = 4 , x = 8 x=4,\ x=8 x = 4 , x = 8

Solve for x: − 4 x + 14 ≤ 54 -4x+14\le54 − 4 x + 1 4 ≤ 5 4

x ≥ − 10 x\ge-10 x ≥ − 1 0

x ≤ − 10 x\le-10 x ≤ − 1 0

Solve for n: 6 ( n + 2 ) < − 72 6\left(n+2\right)<-72 6 ( n + 2 ) < − 7 2

n < 35 3 n<\frac{35}{3} n < 3 3 5

Solve the compound inequality for x: − 14 < 7 x < 42 -14<7x<42 − 1 4 < 7 x < 4 2

− 2 < x < 6 -2<x<6 − 2 < x < 6

− 2 > x > 6 -2>x>6 − 2 > x > 6

− 2 < x < − 6 -2<x<-6 − 2 < x < − 6

Solve for x: 2 x + 9 < 7 2x+9<7 2 x + 9 < 7 or − 5 x + 7 < − 8 -5x+7<-8 − 5 x + 7 < − 8

x < − 1 x<-1 x < − 1 or x > 3 x>3 x > 3

x < 8 x<8 x < 8 or x > 3 x>3 x > 3

x < − 1 x<-1 x < − 1 or x > − 3 x>-3 x > − 3

x < 8 x<8 x < 8 and x > 3 x>3 x > 3

Solve for x: ∣ 2 x + 9 ∣ = 15 \left|2x+9\right|=15 ∣ 2 x + 9 ∣ = 1 5

x = 3 x=3 x = 3 x = − 12 x=-12 x = − 1 2

x = 3 x=3 x = 3 x = 6 x=6 x = 6

x = 6 x=6 x = 6 x = − 12 x=-12 x = − 1 2

f-3-3A-Solve Absolute Value Equations (20)

Authored by Mr. Leo

Mathematics

7th - 9th Grade

CCSS covered

Used 41+ times

f-3-3A-Solve Absolute Value Equations (20)

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20 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Choose the best definition of absolute value:

The value of a number

The opposite of a number

The distance of a number from zero

The multiplicative inverse of a number

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Determine the absolute value:

$\left|-26\right|$

(a)

Tags

CCSS.6.NS.C.7

CCSS.6.NS.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the absolute value equation for v:

$\left|v+8\right|-5=2$

$\left\{-1,-15\right\}$

$\left\{-1,-5\right\}$

$\left\{-15,15\right\}$

No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for r:

$-2\left|-2r-4\right|=-12$

$\left\{3,1\right\}$

$\left\{-3,-1\right\}$

$\left\{-3\right\}$

No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for n:

$\left|2n\right|+10=-50$

$\left\{30,-30\right\}$

$\left\{20,-20\right\}$

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

No Solution

Tags

CCSS.HSA.REI.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x:

$3\left|-8x\right|+8=80$

$\left\{-\frac{7}{3},\frac{7}{3}\right\}$

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

$\left\{\frac{11}{3},-\frac{11}{3}\right\}$

No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x:

$\left|x-12\right|-3=11$

$\left\{-2,-26\right\}$

$\left\{-2,26\right\}$

$\left\{3,25\right\}$

$\left\{4,-7\right\}$

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for r:

$-2\left|-2r-4\right|=-12$

$\left\{5,1\right\}$

$\left\{-5,-1\right\}$

$\left\{-5,1\right\}$

No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x:

$\left|3x-6\right|-9=-3$

No Solution

$\left\{0,4\right\}$

$\left\{2,-2\right\}$

$\left\{-4,4\right\}$

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for r:

$8-9\left|10r-9\right|=-73$

$r=\frac{9}{5},\ r=0$

$r=0,\ r=5$

$r=\frac{9}{5},\ r=1$

$r=-\frac{63}{10},\ r=0$

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

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f-3-3A-Solve Absolute Value Equations (20)

Choose the best definition of absolute value:

Determine the absolute value: ∣−26∣\left|-26\right|∣−26∣ (a)

Solve the absolute value equation for v: ∣v+8∣−5=2\left|v+8\right|-5=2∣v+8∣−5=2

Solve for r: −2∣−2r−4∣=−12-2\left|-2r-4\right|=-12−2∣−2r−4∣=−12

Solve for n: ∣2n∣+10=−50\left|2n\right|+10=-50∣2n∣+10=−50

Solve for x: 3∣−8x∣+8=803\left|-8x\right|+8=803∣−8x∣+8=80

Solve for x: ∣x−12∣−3=11\left|x-12\right|-3=11∣x−12∣−3=11

Solve for r: −2∣−2r−4∣=−12-2\left|-2r-4\right|=-12−2∣−2r−4∣=−12

Solve for x: ∣3x−6∣−9=−3\left|3x-6\right|-9=-3∣3x−6∣−9=−3

Solve for r: 8−9∣10r−9∣=−738-9\left|10r-9\right|=-738−9∣10r−9∣=−73

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Discover more resources for Mathematics

Determine the absolute value:

$\left|-26\right|$

(a)

Solve the absolute value equation for v:

$\left|v+8\right|-5=2$

Solve for r:

$-2\left|-2r-4\right|=-12$

Solve for n:

$\left|2n\right|+10=-50$

Solve for x:

$3\left|-8x\right|+8=80$

Solve for x:

$\left|x-12\right|-3=11$

Solve for r:

$-2\left|-2r-4\right|=-12$

Solve for x:

$\left|3x-6\right|-9=-3$

Solve for r:

$8-9\left|10r-9\right|=-73$