Does This Value Make It True?

Question 1

Substitute t = 6 into 2(t + 4) = 4t - 4. Which statement is correct?

Accepted Answer

both sides equal 20, so t = 6 is a solution

Answer

the left side is 16 and the right side is 20, so t = 6 is not a solution

Answer

the left side is 10 and the right side is 20, so t = 6 is not a solution

Answer

the left side is 20 and the right side is 8, so t = 6 is not a solution

Question 2

A student checks m = 12 in 6(m - 4) = 2m + 24 by computing 6(12) - 4 = 68 for the left side and 2(12) + 24 = 48 for the right side, and concludes m = 12 is not a solution. What went wrong?

Accepted Answer

the 6 was multiplied by m but not by -4, so the left side is 48 and m = 12 is a solution

Answer

the right side should be 2(12 + 24) = 72, so m = 12 is not a solution

Answer

the left side should be 6(12) - 24 = 48 but the right side is 72, so m = 12 is not a solution

Answer

nothing went wrong, because the two sides really are 68 and 48

Question 3

Which value of n makes 11n - 9 = 5n + 3 true?

Accepted Answer

n = 2

Answer

n = 3/4

Answer

n = 3

Answer

n = -6

Question 4

Substitute y = 11 into 2(y + 5) = 6y - 34. Which statement is correct?

Accepted Answer

both sides equal 32, so y = 11 is a solution

Answer

the left side is 27 and the right side is 32, so y = 11 is not a solution

Answer

the left side is 16 and the right side is 32, so y = 11 is not a solution

Answer

the left side is 32 and the right side is -138, so y = 11 is not a solution

Question 5

Does w = -6 satisfy 14 - 4w = 42?

Accepted Answer

no, the left side works out to 38

Answer

yes, the left side works out to 42

Answer

yes, the left side works out to 38

Answer

no, the left side works out to -10

Question 6

Which value of w makes 7w + 9 = 2w + 54 true?

Accepted Answer

w = 9

Answer

w = 5

Answer

w = 10

Answer

w = 8

Question 7

Does t = -8 satisfy 13 - 3t = 41?

Accepted Answer

no, the left side works out to 37

Answer

yes, the left side works out to 41

Answer

yes, the left side works out to 37

Answer

no, the left side works out to -11

Question 8

A student checks t = -4 in 10 - 3t = 22 and works out the left side as 10 - 3(-4) = 10 - 12 = -2. Which statement is correct?

Accepted Answer

The student made a sign error: -3 times -4 is 12, so the left side is 22 and t = -4 is a solution

Answer

The work is correct, so t = -4 is not a solution

Answer

The work is correct, but t = -4 is still a solution because a check can come out either way

Answer

The student made a sign error: the left side is -22, so t = -4 is not a solution

Question 9

Substitute x = 12 into 6(x + 2) = 7x - 5. Which statement is correct?

Accepted Answer

the left side is 84 and the right side is 79, so x = 12 is not a solution

Answer

both sides equal 84, so x = 12 is a solution

Answer

both sides equal 79, so x = 12 is a solution

Answer

the left side is 74 and the right side is 79, so x = 12 is not a solution

Question 10

Substitute m = 2 into 3(m + 3) = 5m + 8. Which statement is correct?

Accepted Answer

the left side is 15 and the right side is 18, so m = 2 is not a solution

Answer

both sides equal 15, so m = 2 is a solution

Answer

both sides equal 18, so m = 2 is a solution

Answer

the left side is 9 and the right side is 18, so m = 2 is not a solution

Question 11

Which value of x makes 12x + 8 = 5x + 22 true?

Accepted Answer

x = 2

Answer

x = 22

Answer

x = 3

Answer

x = 1

Question 12

Does x = -2 satisfy 8 - 7x = 26?

Accepted Answer

no, the left side works out to 22

Answer

yes, the left side works out to 26

Answer

yes, the left side works out to 22

Answer

no, the left side works out to -6

Question 13

Which value of w makes 10w + 10 = 8w + 26 true?

Accepted Answer

w = 8

Answer

w = 8/9

Answer

w = 26

Answer

w = 36

Question 14

Substitute n = 8 into 3(n + 2) = 3n + 6. Which statement is correct?

Accepted Answer

both sides equal 30, so n = 8 is a solution

Answer

the left side is 26 and the right side is 30, so n = 8 is not a solution

Answer

the left side is 10 and the right side is 30, so n = 8 is not a solution

Answer

the left side is 30 and the right side is 42, so n = 8 is not a solution

Question 15

Which value of y makes 12y - 6 = 5y + 22 true?

Accepted Answer

y = 4

Answer

y = 22

Answer

y = 16

Answer

y = 5

Question 16

Which value of t makes 3t - 2 = 2t true?

Accepted Answer

t = 2

Answer

t = 2/5

Answer

t = 0

Answer

t = -2

Question 17

Does m = -2 satisfy 4 - 9m = 16?

Accepted Answer

no, the left side works out to 22

Answer

yes, the left side works out to 16

Answer

yes, the left side works out to 22

Answer

no, the left side works out to -14

Question 18

Which value of t makes 5t - 10 = 3t + 8 true?

Accepted Answer

t = 9

Answer

t = 9/4

Answer

t = 8

Answer

t = -2

Question 19

A student checks m = 13 in 7(m - 2) = 2m + 51 by computing 7(13) - 2 = 89 for the left side and 2(13) + 51 = 77 for the right side, and concludes m = 13 is not a solution. What went wrong?

Accepted Answer

the 7 was multiplied by m but not by -2, so the left side is 77 and m = 13 is a solution

Answer

the right side should be 2(13 + 51) = 128, so m = 13 is not a solution

Answer

the left side should be 7(13) - 14 = 77 but the right side is 128, so m = 13 is not a solution

Answer

nothing went wrong, because the two sides really are 89 and 77

Question 20

Which value of m makes 10m + 7 = 3m + 56 true?

Accepted Answer

m = 7

Answer

m = 8

Answer

m = 6

Answer

m = 9

Question 21

A student checks x = 10 in 6(x - 6) = 2x + 4 by computing 6(10) - 6 = 54 for the left side and 2(10) + 4 = 24 for the right side, and concludes x = 10 is not a solution. What went wrong?

Accepted Answer

the 6 was multiplied by x but not by -6, so the left side is 24 and x = 10 is a solution

Answer

the right side should be 2(10 + 4) = 28, so x = 10 is not a solution

Answer

the left side should be 6(10) - 36 = 24 but the right side is 28, so x = 10 is not a solution

Answer

nothing went wrong, because the two sides really are 54 and 24

Question 22

A student checks n = 10 in 4(n - 2) = 2n + 12 by computing 4(10) - 2 = 38 for the left side and 2(10) + 12 = 32 for the right side, and concludes n = 10 is not a solution. What went wrong?

Accepted Answer

the 4 was multiplied by n but not by -2, so the left side is 32 and n = 10 is a solution

Answer

the right side should be 2(10 + 12) = 44, so n = 10 is not a solution

Answer

the left side should be 4(10) - 8 = 32 but the right side is 44, so n = 10 is not a solution

Answer

nothing went wrong, because the two sides really are 38 and 32

Question 23

Does t = -5 satisfy 8 - 9t = 47?

Accepted Answer

no, the left side works out to 53

Answer

yes, the left side works out to 47

Answer

yes, the left side works out to 53

Answer

no, the left side works out to -37

Question 24

Substitute w = 12 into 7(w + 7) = 3w + 100. Which statement is correct?

Accepted Answer

the left side is 133 and the right side is 136, so w = 12 is not a solution

Answer

both sides equal 133, so w = 12 is a solution

Answer

both sides equal 136, so w = 12 is a solution

Answer

the left side is 91 and the right side is 136, so w = 12 is not a solution

Question 25

Does t = -7 satisfy 9 - 5t = 44?

Accepted Answer

yes, the left side works out to 44

Answer

no, the left side works out to -26

Answer

no, the left side works out to -28

Answer

no, the left side works out to -3

Question 26

A student checks t = 13 in 5(t - 3) = 3t + 11 by computing 5(13) - 3 = 62 for the left side and 3(13) + 11 = 50 for the right side, and concludes t = 13 is not a solution. What went wrong?

Accepted Answer

the 5 was multiplied by t but not by -3, so the left side is 50 and t = 13 is a solution

Answer

the right side should be 3(13 + 11) = 72, so t = 13 is not a solution

Answer

the left side should be 5(13) - 15 = 50 but the right side is 72, so t = 13 is not a solution

Answer

nothing went wrong, because the two sides really are 62 and 50

Question 27

Substitute w = 8 into 3(w + 5) = 8w - 25. Which statement is correct?

Accepted Answer

both sides equal 39, so w = 8 is a solution

Answer

the left side is 29 and the right side is 39, so w = 8 is not a solution

Answer

the left side is 13 and the right side is 39, so w = 8 is not a solution

Answer

the left side is 39 and the right side is -136, so w = 8 is not a solution

Question 28

Which value of t makes 10t - 3 = 7t + 18 true?

Accepted Answer

t = 7

Answer

t = 18

Answer

t = 15

Answer

t = 8

Question 29

A student checks m = 14 in 7(m - 6) = 3m + 14 by computing 7(14) - 6 = 92 for the left side and 3(14) + 14 = 56 for the right side, and concludes m = 14 is not a solution. What went wrong?

Accepted Answer

the 7 was multiplied by m but not by -6, so the left side is 56 and m = 14 is a solution

Answer

the right side should be 3(14 + 14) = 84, so m = 14 is not a solution

Answer

the left side should be 7(14) - 42 = 56 but the right side is 84, so m = 14 is not a solution

Answer

nothing went wrong, because the two sides really are 92 and 56

Question 30

Substitute m = 11 into 7(m + 7) = 2m + 99. Which statement is correct?

Accepted Answer

the left side is 126 and the right side is 121, so m = 11 is not a solution

Answer

both sides equal 126, so m = 11 is a solution

Answer

both sides equal 121, so m = 11 is a solution

Answer

the left side is 84 and the right side is 121, so m = 11 is not a solution

Question 31

Which value of w makes 10w - 3 = 8w + 9 true?

Accepted Answer

w = 6

Answer

w = 2/3

Answer

w = 9

Answer

w = 7

Question 32

Which value of w makes 10w + 10 = 4w + 28 true?

Accepted Answer

w = 3

Answer

w = 9/7

Answer

w = 4

Answer

w = 2

Question 33

Substitute m = 9 into 4(m + 4) = 4m + 19. Which statement is correct?

Accepted Answer

the left side is 52 and the right side is 55, so m = 9 is not a solution

Answer

both sides equal 52, so m = 9 is a solution

Answer

both sides equal 55, so m = 9 is a solution

Answer

the left side is 40 and the right side is 55, so m = 9 is not a solution

Question 34

Substitute m = 7 into 3(m + 4) = 7m - 13. Which statement is correct?

Accepted Answer

the left side is 33 and the right side is 36, so m = 7 is not a solution

Answer

both sides equal 33, so m = 7 is a solution

Answer

both sides equal 36, so m = 7 is a solution

Answer

the left side is 25 and the right side is 36, so m = 7 is not a solution

Question 35

Does x = -9 satisfy 11 - 8x = 83?

Accepted Answer

yes, the left side works out to 83

Answer

no, the left side works out to -61

Answer

no, the left side works out to -27

Answer

no, the left side works out to -6

Question 36

A student checks t = 3 in 4 + 2t = 5t - 5 by working out the left side as (4 + 2)(3) = 18 and the right side as 5(3) - 5 = 10. Which statement is correct?

Accepted Answer

The student added before multiplying: the left side is 4 + 6 = 10, so t = 3 is a solution

Answer

The work is correct, so t = 3 is not a solution

Answer

The student added before multiplying: the left side is 4 + 2 + 3 = 9, so t = 3 is not a solution

Answer

The work is correct, but t = 3 is still a solution because both sides are even

Question 37

Does y = -8 satisfy 4 - 9y = 76?

Accepted Answer

yes, the left side works out to 76

Answer

no, the left side works out to -68

Answer

no, the left side works out to 40

Answer

no, the left side works out to -13

Question 38

Does m = -2 satisfy 4 - 8m = 20?

Accepted Answer

yes, the left side works out to 20

Answer

no, the left side works out to -12

Answer

no, the left side works out to 8

Answer

no, the left side works out to -6

Question 39

Which value of m makes 12m + 4 = 9m + 37 true?

Accepted Answer

m = 11

Answer

m = 11/7

Answer

m = 37

Answer

m = 41

Question 40

Does t = -9 satisfy 4 - 8t = 76?

Accepted Answer

yes, the left side works out to 76

Answer

no, the left side works out to -68

Answer

no, the left side works out to 36

Answer

no, the left side works out to -13

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Does This Value Make It True?

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Does This Value Make It True?

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