Absolute Value Equations

Question 1

Solve 6|h + 7| = 72.

Accepted Answer

h = -19 or h = 5

Answer

h = 5

Answer

h = -79 or h = 65

Answer

h = -5 or h = 19

Question 2

How many solutions does |r - 9| = 3 have?

Accepted Answer

two solutions

Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Question 3

Solve |h + 9| = 12.

Accepted Answer

h = -21 or h = 3

Answer

h = 3

Answer

h = -3 or h = 21

Answer

h = -12 or h = 12

Question 4

Solve |h + 9| = 6.

Accepted Answer

h = -15 or h = -3

Answer

h = -3

Answer

h = 3 or h = 15

Answer

h = -6 or h = 6

Question 5

Solve 6|p + 12| = 12.

Accepted Answer

p = -14 or p = -10

Answer

p = -10

Answer

p = -24 or p = 0

Answer

p = 10 or p = 14

Question 6

Solve 8|r + 3| = 32.

Accepted Answer

r = -7 or r = 1

Answer

r = 1

Answer

r = -35 or r = 29

Answer

r = -1 or r = 7

Question 7

Solve |t - 1| = 8.

Accepted Answer

t = -7 or t = 9

Answer

t = 9

Answer

t = -9 or t = 7

Answer

t = -8 or t = 8

Question 8

Solve |n + 4| = 8.

Accepted Answer

n = -12 or n = 4

Answer

n = 4

Answer

n = -4 or n = 12

Answer

n = -8 or n = 8

Question 9

Solve |b + 2| + 2 = 5.

Accepted Answer

b = -5 or b = 1

Answer

b = 1

Answer

b = -7 or b = 3

Answer

b = -1 or b = 5

Question 10

How many solutions does |w + 3| = 13 have?

Accepted Answer

two solutions

Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Question 11

Solve |b - 12| = 12.

Accepted Answer

b = 0 or b = 24

Answer

b = 24

Answer

b = -24 or b = 0

Answer

b = -12 or b = 12

Question 12

Solve |m - 6| = 15.

Accepted Answer

m = -9 or m = 21

Answer

m = 21

Answer

m = -21 or m = 9

Answer

m = -15 or m = 15

Question 13

Solve 2|h - 3| = -22.

Accepted Answer

no solution, because an absolute value can never be negative

Answer

h = -8 or h = 14

Answer

h = 14

Answer

h = 3

Question 14

Solve |h - 11| = 7.

Accepted Answer

h = 4 or h = 18

Answer

h = 18

Answer

h = -18 or h = -4

Answer

h = -7 or h = 7

Question 15

Solve |p - 4| + 6 = 17.

Accepted Answer

p = -7 or p = 15

Answer

p = 15

Answer

p = -13 or p = 21

Answer

p = -15 or p = 7

Question 16

Solve |b + 1| + 13 = 20.

Accepted Answer

b = -8 or b = 6

Answer

b = 6

Answer

b = -21 or b = 19

Answer

b = -6 or b = 8

Question 17

Solve |y + 12| = 6.

Accepted Answer

y = -18 or y = -6

Answer

y = -6

Answer

y = 6 or y = 18

Answer

y = -6 or y = 6

Question 18

Solve |x + 10| = 11.

Accepted Answer

x = -21 or x = 1

Answer

x = 1

Answer

x = -1 or x = 21

Answer

x = -11 or x = 11

Question 19

Solve 5|w + 6| = 45.

Accepted Answer

w = -15 or w = 3

Answer

w = 3

Answer

w = -51 or w = 39

Answer

w = -3 or w = 15

Question 20

Solve |w + 8| = 10.

Accepted Answer

w = -18 or w = 2

Answer

w = 2

Answer

w = -2 or w = 18

Answer

w = -10 or w = 10

Question 21

How many solutions does |b + 11| = 1 have?

Accepted Answer

two solutions

Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Question 22

Solve |y - 1| = 14.

Accepted Answer

y = -13 or y = 15

Answer

y = 15

Answer

y = -15 or y = 13

Answer

y = -14 or y = 14

Question 23

Solve |k + 5| - 14 = -12.

Accepted Answer

k = -7 or k = -3

Answer

k = -3

Answer

k = -31 or k = 21

Answer

k = 3 or k = 7

Question 24

Solve |t - 4| + 8 = 10.

Accepted Answer

t = 2 or t = 6

Answer

t = 6

Answer

t = -6 or t = 14

Answer

t = -6 or t = -2

Question 25

Solve |k - 11| + 14 = 24.

Accepted Answer

k = 1 or k = 21

Answer

k = 21

Answer

k = -13 or k = 35

Answer

k = -21 or k = -1

Question 26

Solve 5|b - 7| = 40.

Accepted Answer

b = -1 or b = 15

Answer

b = 15

Answer

b = -33 or b = 47

Answer

b = -15 or b = 1

Question 27

How many solutions does |n - 2| = -2 have?

Accepted Answer

no solution

Answer

two solutions

Answer

one solution

Answer

infinitely many solutions

Question 28

Solve |p + 3| = 9.

Accepted Answer

p = -12 or p = 6

Answer

p = 6

Answer

p = -6 or p = 12

Answer

p = -9 or p = 9

Question 29

Solve 3|n - 6| = 18.

Accepted Answer

n = 0 or n = 12

Answer

n = 12

Answer

n = -12 or n = 24

Answer

n = -12 or n = 0

Question 30

Solve |y + 11| = 13.

Accepted Answer

y = -24 or y = 2

Answer

y = 2

Answer

y = -2 or y = 24

Answer

y = -13 or y = 13

Question 31

How many solutions does |k + 5| = 15 have?

Accepted Answer

two solutions

Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Question 32

Solve |k - 12| + 11 = 23.

Accepted Answer

k = 0 or k = 24

Answer

k = 24

Answer

k = -11 or k = 35

Answer

k = -24 or k = 0

Question 33

Solve |x + 12| - 7 = 2.

Accepted Answer

x = -21 or x = -3

Answer

x = -3

Answer

x = -17 or x = -7

Answer

x = 3 or x = 21

Question 34

Solve |p - 12| + 5 = 16.

Accepted Answer

p = 1 or p = 23

Answer

p = 23

Answer

p = -4 or p = 28

Answer

p = -23 or p = -1

Question 35

Solve 6|h - 11| = -18.

Accepted Answer

no solution, because an absolute value can never be negative

Answer

h = 8 or h = 14

Answer

h = 14

Answer

h = 11

Question 36

Solve |x - 12| + 5 = 9.

Accepted Answer

x = 8 or x = 16

Answer

x = 16

Answer

x = 3 or x = 21

Answer

x = -16 or x = -8

Question 37

Solve 6|r - 12| = 42.

Accepted Answer

r = 5 or r = 19

Answer

r = 19

Answer

r = -30 or r = 54

Answer

r = -19 or r = -5

Question 38

Solve 4|b - 12| = 16.

Accepted Answer

b = 8 or b = 16

Answer

b = 16

Answer

b = -4 or b = 28

Answer

b = -16 or b = -8

Question 39

How many solutions does |a - 7| = 9 have?

Accepted Answer

two solutions

Answer

one solution

Answer

no solution

Answer

infinitely many solutions

Question 40

Solve |m + 3| - 4 = 3.

Accepted Answer

m = -10 or m = 4

Answer

m = 4

Answer

m = -4 or m = -2

Answer

m = -4 or m = 10

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Absolute Value Equations

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Absolute Value Equations

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner