Pattern Rules
Order of Operations
Equations
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100

What is the pattern rule? What is the missing output?

Input                       Output

1                                4

2                                8

3                               12

4                                ?

Pattern rule: x4

Missing output: 16

100

8+4x2

16

100

Write and solve the equation. 

Liam had some baseball cards. His friend gave him 18 more cards. Now Liam has 43 cards altogether. How many baseball cards did Liam have at first?

Equation: x + 18 = 43

Answer: x = 25

100

Write the expression. 

Five more than a number.

x + 5

100

Write the expression.

8 more than a number.

x + 8

200

What is the pattern rule? What is the missing output?

Input                         Output

5                                  15

6                                  18

7                                  21

8                                   ?

Pattern rule: x3

Missing output: 24

200

24 divided by 6 + 7 x 2

18

200

Write and solve the equation.

Mia had some stickers. She gave 16 stickers to her friend. She now has 29 stickers left. How many stickers did Mia have at first?

Equation: x - 16 = 29

Answer: x = 45

200

Write the expression. 

The difference between a number and 9.

x - 9

200

Write and solve the equation.

Maya had some stickers. Her friend gave her 15 more stickers. Maya now has 32 stickers. How many stickers did Maya have at first?

Equation: x + 15 = 32

Answer: x = 17

300

What is the pattern rule? What is the missing output?

Input                         Output

10                                 25

20                                 35

30                                 45

40                                  ?

Pattern rule: +15

Missing output: 55

300

30 - (8+2) x 2

10

300
Write and solve the equation.


There are 6 pencils in each box. A teacher has several boxes and has 42 pencils altogether. How many boxes of pencils does the teacher have?

Equation: 6x = 42

Answer: x = 7

300

Write the expression. 

The product of 7 and a number.

7x

300

Find the pattern rule and the missing output.

Input                      Output

2                                9

4                               15

6                               21

8                               27

10                             ?

Pattern rule: x3 +3

Missing output: 33

400

What is the pattern rule? What is the missing output?

Input                        Output

3                                 10

5                                 14

7                                 18

9                                  ?

Pattern rule: x2 +4

Missing output: 22

400

48 divided by (6 + 2) + 5 x 3

21

400

Write and solve the equation.

A teacher has 56 pencils. She puts 7 pencils in each group. How many groups can she make?

Equation: 56 divided by x = 7

Answer: x = 8

400

Write the expression.

The quotient of a number and 6.

x divided by 6

400

Solve the equation.

36 divided by (4 + 2) + 5 x 3

21

500

What is the pattern rule? What is the missing output?

Input                         Output

4                                   14

6                                   20

8                                   26

10                                  ?

Pattern rule: x3 +2

Missing output: 32

500

60 divided by (5 + 5) + 6 x 4 - 7

23

500

Write and solve the equation. 

A baker has 72 cookies. She puts 8 cookies in each bag. How many bags can she fill?

Equation: 72 divided by x = 8

Answer: x = 9

500

Write the expression.

Eight groups of a number.

8x

500

Maya says: 

18 divided by 3 + 4 x 2 - 5 = 9

And Jordan says:

18 divided by 3 + 4 x 2 - 5 = 11

Who is correct? Explain how you know. 

Maya

1. 18 divided by 3 = 6

2. 4 x 2 = 8

3. 6 + 8 - 5 = 9

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