Two-Step Equations

Question 1

A student solves 4k + 24 = 64 by dividing both sides by 4 first, writing k + 24 = 16, and then subtracting 24 to reach k = -8. What went wrong?

Accepted Answer

the 24 was not divided by 4, and the solution is k = 10

Answer

nothing went wrong, and the solution really is k = -8

Answer

the 24 had to be added to both sides first, and the solution is k = 22

Answer

the 64 should not have been divided, and the solution is k = 58

Question 2

What value of b makes 8b - 3 = 21 a true statement?

Accepted Answer

b = 3

Answer

b = 45/8

Answer

b = 9/4

Answer

b = 24

Question 3

What value of y makes -9y - 3 = 15 a true statement?

Accepted Answer

y = -2

Answer

y = 4/3

Answer

y = -4/3

Answer

y = 18

Question 4

What value of r makes 6r + 2 = 38 a true statement?

Accepted Answer

r = 6

Answer

r = 13/3

Answer

r = 20/3

Answer

r = 7

Question 5

Solve -100 = -8a - 4.

Accepted Answer

a = 12

Answer

a = 33/2

Answer

a = 13

Answer

a = 11

Question 6

Solve (9/2)b - 3 = 51.

Accepted Answer

b = 12

Answer

b = 32/3

Answer

b = 54

Answer

b = 13

Question 7

What value of r makes -6r + 6 = 18 a true statement?

Accepted Answer

r = -2

Answer

r = -9

Answer

r = -4

Answer

r = 12

Question 8

Solve w/2 + 12 = 18.

Accepted Answer

w = 12

Answer

w = 3

Answer

w = 60

Answer

w = 6

Question 9

Solve -3 = 3w + 6.

Accepted Answer

w = -3

Answer

w = -7

Answer

w = 1

Answer

w = -2

Question 10

Solve 73 = -7k - 11.

Accepted Answer

k = -12

Answer

k = 4/7

Answer

k = -62/7

Answer

k = -11

Question 11

Solve 5t - 9 = 26.

Accepted Answer

t = 7

Answer

t = 71/5

Answer

t = 17/5

Answer

t = 35

Question 12

Solve for n: -8n + 14 = -34.

Accepted Answer

n = 6

Answer

n = -39/4

Answer

n = 5/2

Answer

n = 7

Question 13

Solve -31 = 3a - 7.

Accepted Answer

a = -8

Answer

a = -10/3

Answer

a = -38/3

Answer

a = -31

Question 14

Solve for b: -5b - 14 = -59.

Accepted Answer

b = 9

Answer

b = 129/5

Answer

b = 73/5

Answer

b = -45

Question 15

Solve -20 = -8b + 12.

Accepted Answer

b = 4

Answer

b = -19/2

Answer

b = 1

Answer

b = -20

Question 16

Solve (8/3)p + 11 = 35.

Accepted Answer

p = 9

Answer

p = 69/4

Answer

p = 24

Answer

p = 10

Question 17

Solve -3m + 11 = -10.

Accepted Answer

m = 7

Answer

m = -23/3

Answer

m = -1/3

Answer

m = -21

Question 18

A student solves 5k + 30 = 75 by dividing both sides by 5 first, writing k + 30 = 15, and then subtracting 30 to reach k = -15. What went wrong?

Accepted Answer

the 30 was not divided by 5, and the solution is k = 9

Answer

nothing went wrong, and the solution really is k = -15

Answer

the 30 had to be added to both sides first, and the solution is k = 21

Answer

the 75 should not have been divided, and the solution is k = 69

Question 19

Solve (8/3)w + 2 = 18.

Accepted Answer

w = 6

Answer

w = 15/2

Answer

w = 16

Answer

w = 7

Question 20

Solve (9/2)t + 8 = 17.

Accepted Answer

t = 2

Answer

t = 50/9

Answer

t = 9

Answer

t = 3

Question 21

Solve -47 = -8t + 9.

Accepted Answer

t = 7

Answer

t = -25/8

Answer

t = 19/4

Answer

t = 8

Question 22

What value of m makes -2m - 9 = -15 a true statement?

Accepted Answer

m = 3

Answer

m = 33/2

Answer

m = 12

Answer

m = -6

Question 23

A student solves 9x + 45 = 135 by dividing both sides by 9 first, writing x + 45 = 15, and then subtracting 45 to reach x = -30. What went wrong?

Accepted Answer

the 45 was not divided by 9, and the solution is x = 10

Answer

nothing went wrong, and the solution really is x = -30

Answer

the 45 had to be added to both sides first, and the solution is x = 20

Answer

the 135 should not have been divided, and the solution is x = 130

Question 24

Solve -31 = -7t + 11.

Accepted Answer

t = 6

Answer

t = -46/7

Answer

t = 20/7

Answer

t = 7

Question 25

Solve (9/4)p - 5 = 13.

Accepted Answer

p = 8

Answer

p = 32/9

Answer

p = 18

Answer

p = 9

Question 26

What value of y makes 4y + 6 = -10 a true statement?

Accepted Answer

y = -4

Answer

y = -17/2

Answer

y = -1

Answer

y = -16

Question 27

Solve for m: 5m + 14 = -31.

Accepted Answer

m = -9

Answer

m = -101/5

Answer

m = -17/5

Answer

m = -45

Question 28

What value of n makes -2n - 2 = -22 a true statement?

Accepted Answer

n = 10

Answer

n = 13

Answer

n = 12

Answer

n = -20

Question 29

Solve n/3 + 7 = 12.

Accepted Answer

n = 15

Answer

n = 5/3

Answer

n = 57

Answer

n = 5

Question 30

Solve b/9 - 3 = 0.

Accepted Answer

b = 27

Answer

b = 1/3

Answer

b = -27

Answer

b = 3

Question 31

Solve -9a - 9 = 18.

Accepted Answer

a = -3

Answer

a = 7

Answer

a = -1

Answer

a = -2

Question 32

Solve 16 = 6p + 4.

Accepted Answer

p = 2

Answer

p = -4/3

Answer

p = 10/3

Answer

p = 16

Question 33

Solve for m: 6m - 12 = 48.

Accepted Answer

m = 10

Answer

m = 20

Answer

m = 6

Answer

m = 11

Question 34

A student solves 6x + 24 = 36 by dividing both sides by 6 first, writing x + 24 = 6, and then subtracting 24 to reach x = -18. What went wrong?

Accepted Answer

the 24 was not divided by 6, and the solution is x = 2

Answer

nothing went wrong, and the solution really is x = -18

Answer

the 24 had to be added to both sides first, and the solution is x = 10

Answer

the 36 should not have been divided, and the solution is x = 32

Question 35

Solve t/4 - 3 = 0.

Accepted Answer

t = 12

Answer

t = 3/4

Answer

t = -12

Answer

t = 3

Question 36

A student solves 7m + 21 = 63 by dividing both sides by 7 first, writing m + 21 = 9, and then subtracting 21 to reach m = -12. What went wrong?

Accepted Answer

the 21 was not divided by 7, and the solution is m = 6

Answer

nothing went wrong, and the solution really is m = -12

Answer

the 21 had to be added to both sides first, and the solution is m = 12

Answer

the 63 should not have been divided, and the solution is m = 60

Question 37

Solve y/5 - 11 = -2.

Accepted Answer

y = 45

Answer

y = 9/5

Answer

y = -65

Answer

y = 9

Question 38

What value of m makes -2m - 7 = 3 a true statement?

Accepted Answer

m = -5

Answer

m = 11/2

Answer

m = 2

Answer

m = 10

Question 39

A student solves 3x + 9 = 27 by dividing both sides by 3 first, writing x + 9 = 9, and then subtracting 9 to reach x = 0. What went wrong?

Accepted Answer

the 9 was not divided by 3, and the solution is x = 6

Answer

nothing went wrong, and the solution really is x = 0

Answer

the 9 had to be added to both sides first, and the solution is x = 12

Answer

the 27 should not have been divided, and the solution is x = 24

Question 40

What value of a makes -3a + 3 = 27 a true statement?

Accepted Answer

a = -8

Answer

a = -12

Answer

a = -10

Answer

a = 24

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Two-Step Equations

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Two-Step 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