Order of Operations

Create an Expression

Number Patterns

100

An expression is shown: 

6 x (4 + 5) + 100 

What is the value of the expression?

A: 154 

6 x (4 + 5) + 100 

1. (4+5) = 9

2. 6 x 9 = 54

3. 54 + 100 = 154

200

An expression is shown. 

6 x ( 4 + 2 x 3) - 7 

What is the value of the expression? 

A: 173

1. (4 + 2 x 3 ) = 2 x 3 = 6 + 4 = 10 

2. 10 x 18 = 180 

3. 180 - 7 = 173 

300

An expression is shown. 

½ x [(4+6) x 3] - 9 

What is the value of the expression? 

A: 6

1. [(4 + 6) x 3 ] = (4 + 6) = 10 x 3 = 30

2. ½ x 30 = 15 

3. 15 - 9 = 6 

400

A numerical expression is evaluated as shown: 

½ x {3 x 2 + 7} + 12

Line 1: {3 x 2 + 8} = 2 + 8 = 10 x 3 = 30

Line 2: ½ x 30 = 15 

Line 3: 15 + 12 = 27 

Which line does a mistake appear first? 

Line 1: {3 x 2 + 8} = 2 + 8 = 10 x 3 = 30

You must multiply first before you add. 

Correct answer: {3 x 2 + 8} = 3 x 2 = 6 + 8 = 14 

500

An expression is shown: 

3 + 8 - 4 x 2 - 12 

Create an equivalent expression that includes a set of parentheses so that the value of the expression is 2. 

Answers may vary. 

Sample answer: (3 + 8 - 4) x 2 - 12 = 2 

(3 + 8 - 4) = 7

7 x 2 - 12 = 2

100

An expression is described in words. 

Divide 10 by 2, then subtract 1

Create an expression using numbers and symbols. 

10 ÷ 2 - 1 

*remember expressions do not have an equal sign 

200

An expression is described in words. 

Subtract 6 from 9 then multiply by 4 

Create an expression using numbers and symbols. 

9 - 6 x 4

*remember expressions do not have an equal sign 

300

An expression is described in words.

Add 6 and 14, then triple the sum, then add three-fourths. 

Create an expression using numbers and symbols. 

(6 + 14) x 3 + ¾

400

An expression is shown. 

18 + ½(5 - 4) 

Which statement describes the expression? 

A. Half of the difference of 5 and 4 added to 18.

B. Subtract half of the quantity of 5 and 4 from 18. 

C. The sum of 18 and half of the product of 5 and 4. 

D. Half of 5 added to 18 minus 4. 

A. Half of the difference of 5 and 4 added to 18.

An expression is shown. 

18 + ½(5 - 4) 

500

An expression is shown. 

3 x 4 x 5 - 5 + 3 

Which statement describes this expression? 

A. Three more than 5 subtracted from the sum of 3, 4, and 5 

B. The product of 3, 4, and 5 subtracted from 5 plus 3 

C. Multiply 3, 4, and 5, then subtract 5 and add 3. 

D. Three added to 5, then subtracted from the product of 3, 4, and 5 

C. Multiply 3, 4, and 5, then subtract 5 and add 3. 

Why B. The product of 3, 4, and 5 subtracted from 5 plus 3 is not correct... you do not add 5 plus 3 first you work right to left and subtract 5 then add 3. 

100

200

Michael and John are creating patterns. 

 Michael uses the rule “multiply by 2” and starts at 5. 

 John uses the rule “add 2” and starts at 16. 

For which term is Michael’s number equal to John’s number? 

Michael: 5, 10, 20, 40 

John: 16, 18, 20, 22

The term both Michael and John share equally is 20. 

300

Michael and John are creating patterns. Each pattern starts at 1. 

 Michael uses the rule “multiply by 2, then add 2.” 

 John uses the rule “multiply by 2, then add 4.” 

What are the first three terms of each boy's sequence? 

Michael: 1, 4, 10, 22

John: 1, 6, 16, 36 

400

Michael and John are creating patterns. Each pattern starts at 1. 

 Michael uses the rule “multiply by 3, then add 1.” 

 John uses the rule “multiply by 5, then subtract 2.” 

What are the first three terms of each boy's sequence? 

Michael: 1, 4, 13, 40

John: 1, 3, 13, 63

500

Michael and John each created a numeric pattern. Both patterns start with 0. 

The terms in Michael’s pattern are always two times the same terms in John’s pattern. 

What could be the rules for the two patterns? 

A. Michael: Add 2 

John: Add 0 

B. Michael: Add 6 

John: Add 3 

C. Michael: Multiply by 2 

John: Multiply by 0 

D. Michael: Multiply by 6 

John: Multiply by 3 

B. Michael: Add 6 

John: Add 3 

Michael: 0, 6, 12, 18

John: 0, 3, 6, 9, 

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