Solving x squared = p and x cubed = q

Question 1

Solve the equation x cubed = 27.

Accepted Answer

x = 3

Answer

x = 3 or x = -3

Answer

x = -3

Answer

x = 9

Question 2

Solve the equation 5x squared = 500.

Accepted Answer

x = 10 or x = -10

Answer

x = 10

Answer

x = 50 or x = -50

Answer

x = 100 or x = -100

Question 3

How many real solutions does the equation x squared = 81 have?

Accepted Answer

Two solutions, x = 9 and x = -9

Answer

One solution, x = 9

Answer

Two solutions, x = 81 and x = -81

Question 4

Solve the equation x cubed = 512.

Accepted Answer

x = 8

Answer

x = 8 or x = -8

Answer

x = -8

Answer

x = 64

Question 5

What are the solutions of the equation x squared = 121?

Accepted Answer

x = 11 or x = -11

Answer

x = 11

Answer

x = 10 or x = -10

Answer

x = 121

Question 6

What are the solutions of the equation x squared = 100?

Accepted Answer

x = 10 or x = -10

Answer

x = 10

Answer

x = 50

Answer

x = 9 or x = -9

Question 7

A square plaza covers 196 square meters. Its side length x, in meters, satisfies x squared = 196. How long is each side?

Accepted Answer

14 m

Answer

98 m

Answer

49 m

Answer

13 m

Question 8

Solve the equation x squared + 12 = 93.

Accepted Answer

x = 9 or x = -9

Answer

x = 9

Answer

x = 81 or x = -81

Answer

x = 93

Question 9

A cube-shaped display case holds 27 cubic inches. Its edge length x, in inches, satisfies x cubed = 27. How long is each edge?

Accepted Answer

3 in

Answer

9 in

Answer

2 in

Answer

4 in

Question 10

Solve the equation x squared = 400.

Accepted Answer

x = 20 or x = -20

Answer

x = 20

Answer

x = 200

Answer

x = 19 or x = -19

Question 11

What are the solutions of the equation x squared = 49?

Accepted Answer

x = 7 or x = -7

Answer

x = 7

Answer

x = 6 or x = -6

Answer

x = 49

Question 12

Solve the equation x squared = 169.

Accepted Answer

x = 13 or x = -13

Answer

x = 13

Answer

x = 12 or x = -12

Answer

x = 169

Question 13

A cube-shaped ice block holds 512 cubic inches. Its edge length x, in inches, satisfies x cubed = 512. How long is each edge?

Accepted Answer

8 in

Answer

64 in

Answer

256 in

Answer

7 in

Question 14

Solve the equation x squared + 12 = 28.

Accepted Answer

x = 4 or x = -4

Answer

x = 4

Answer

x = 16 or x = -16

Answer

x = 28

Question 15

Solve the equation 4x squared = 576.

Accepted Answer

x = 12 or x = -12

Answer

x = 12

Answer

x = 144 or x = -144

Answer

x = 72

Question 16

What are the solutions of the equation x squared = 196?

Accepted Answer

x = 14 or x = -14

Answer

x = 14

Answer

x = 98

Answer

x = 13 or x = -13

Question 17

How many real solutions does the equation x squared = -225 have?

Accepted Answer

No real solution, because no real number squared is negative

Answer

One solution, x = -15

Answer

Two solutions, x = 15 and x = -15

Question 18

Solve the equation x cubed = -216.

Accepted Answer

x = -6

Answer

x = 6

Answer

x = 6 or x = -6

Answer

x = -36

Question 19

How many real solutions does the equation x cubed = -125 have?

Accepted Answer

One solution, x = -5

Answer

Two solutions, x = 5 and x = -5

Answer

No real solution, because no real number cubed is negative

Question 20

Solve the equation x squared = 36.

Accepted Answer

x = 6 or x = -6

Answer

x = 6

Answer

x = 18

Answer

x = 5 or x = -5

Question 21

Solve the equation 6x cubed = 48.

Accepted Answer

x = 2

Answer

x = 2 or x = -2

Answer

x = 8

Answer

x = 4

Question 22

Solve the equation x squared = 4.

Accepted Answer

x = 2 or x = -2

Answer

x = 2

Answer

x = 1 or x = -1

Answer

x = 4

Question 23

What are the solutions of the equation x squared = 289?

Accepted Answer

x = 17 or x = -17

Answer

x = 17

Answer

x = 16 or x = -16

Answer

x = 289

Question 24

What are the solutions of the equation x squared = 256?

Accepted Answer

x = 16 or x = -16

Answer

x = 16

Answer

x = 128

Answer

x = 15 or x = -15

Question 25

What are the solutions of the equation x squared = 25?

Accepted Answer

x = 5 or x = -5

Answer

x = 5

Answer

x = 4 or x = -4

Answer

x = 25

Question 26

What is the solution of the equation x cubed = -27?

Accepted Answer

x = -3

Answer

x = 3

Answer

x = 3 or x = -3

Answer

x = -9

Question 27

What is the solution of the equation x cubed = -512?

Accepted Answer

x = -8

Answer

x = 8

Answer

x = 8 or x = -8

Answer

x = -64

Question 28

Solve the equation x squared + 27 = 127.

Accepted Answer

x = 10 or x = -10

Answer

x = 10

Answer

x = 100 or x = -100

Answer

x = 127

Question 29

Solve the equation x squared + 24 = 73.

Accepted Answer

x = 7 or x = -7

Answer

x = 7

Answer

x = 49 or x = -49

Answer

x = 73

Question 30

How many real solutions does the equation x cubed = 64 have?

Accepted Answer

One solution, x = 4

Answer

Two solutions, x = 4 and x = -4

Answer

No real solution, because 64 is not a perfect cube

Question 31

How many real solutions does the equation x squared = -9 have?

Accepted Answer

No real solution, because no real number squared is negative

Answer

One solution, x = -3

Answer

Two solutions, x = 3 and x = -3

Question 32

Solve the equation x squared = 324.

Accepted Answer

x = 18 or x = -18

Answer

x = 18

Answer

x = 162

Answer

x = 17 or x = -17

Question 33

What is the solution of the equation x cubed = -8?

Accepted Answer

x = -2

Answer

x = 2

Answer

x = 2 or x = -2

Answer

x = -4

Question 34

What is the solution of the equation x cubed = -64?

Accepted Answer

x = -4

Answer

x = 4

Answer

x = 4 or x = -4

Answer

x = -8

Question 35

A cube-shaped water tank holds 64 cubic inches. Its edge length x, in inches, satisfies x cubed = 64. How long is each edge?

Accepted Answer

4 in

Answer

16 in

Answer

32 in

Answer

3 in

Question 36

Solve the equation x squared + 27 = 91.

Accepted Answer

x = 8 or x = -8

Answer

x = 8

Answer

x = 64 or x = -64

Answer

x = 91

Question 37

How many real solutions does the equation x squared = 0 have?

Accepted Answer

One solution, x = 0

Answer

No real solution, because 0 has no square root

Answer

Two solutions, because every squared equation has two

Question 38

What are the solutions of the equation x squared = 64?

Accepted Answer

x = 8 or x = -8

Answer

x = 8

Answer

x = 32

Answer

x = 7 or x = -7

Question 39

How many real solutions does the equation x squared = -36 have?

Accepted Answer

No real solution, because no real number squared is negative

Answer

One solution, x = -6

Answer

Two solutions, x = 6 and x = -6

Question 40

Solve the equation 5x cubed = 320.

Accepted Answer

x = 4

Answer

x = 4 or x = -4

Answer

x = 64

Answer

x = 16

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Solving x squared = p and x cubed = q

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Solving x squared = p and x cubed = q

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