Finding X
+−×÷
GCF
Mixed Bag
Challenge Problems
100

x - 3 = 5

x = 8

100

4 + 2 =
14 - 4 =
7 × 3 =
16 ÷ 2 =

4 + 2 = 6
14 - 4 = 10
7 × 3 = 21
16 ÷ 2 = 8

100

Find the Greatest Common Factor: 

5, 10

5

100

What time is it right now? 

100

Find x: 

5 ÷ x = 2

x = 5/2
200

x + 7 = 21

x = 14

200

8 + (-3) =
13 - 9 =
5 × 8 =
45 ÷ 9 =

8 + (-3) = 5
13 - 9 = 4
5 × 8 = 40
45 ÷ 9 = 5

200

Find the Greatest Common Factor: 

4, 6

2

200

You found... 

Free 200 points! 

200

23 = 2 × 2 × 2 = 8

73 = ?

343

300

8x = -32

x = -4

300

(-8) + 20 =
-13 - 3 =
6 × 6 =
-56 ÷ 8 =

(-8) + 20 = 12
-13 - 3 = -16
6 × 6 = 36
-56 ÷ 8 = -7

300

Find the Greatest Common Factor: 

9, 21

3

300

6 + (-4) = 2
(-4) + 6 = 2
This is an example of the commutative property. What is the commutative property? 

The commutative property means that you can swap the two numbers in an addition or multiplication problem and still get the same answer

300

You found... 

Free 300 points! 

400

x ÷ 12 = 5

x = 60

400

-19 + (-15) =
8 - (-9) =
-9 × -9 =
120 ÷ -10 = 

-19 + (-15) = -34
8 - (-9) = 17
-9 × -9 = 81
120 ÷ -10 = -12

400

Find the Greatest Common Factor: 

18, 24

6

400

What do you call a shape with 5 sides? 

Pentagon

400

Factor: 45x2y - 90xy2

45xy(x - 2y) 

500

2x + 5 = 11

x = 3

500

-15 + 24 =
-7 - (-5) =
-14 × 3 =
121 ÷ 11 =

-15 + 24 = 9
-7 - (-5) = -2
-14 × 3 = -42
121 ÷ 11 = 11

500

Find the Greatest Common Factor: 

12x, 32xy

4x
500

52 = 25

(-5)2 = ? 

25

500

1 + 2 + 3 + 4 + 5 + ... + 98 + 99 + 100 = ? 

5050