Order of Operations
Key Words and Switch Phrases
Writing Expressions in Words
Turning Word Phrases to Expressions
Algebra Substitution
100

Simplify the expression: 2(15-4) + 32

31

100

The word sum goes with which operation?

Addition

100

Write x + 8 in words

The sum of x and 8

x increased by 8

100

The sum of x and 9

x + 9

100

Simplify when x = 2 and y = 3: 2x + y

7

200

Simplify: 62 - 3 x 5 

21

200

Decreased by is a phrase telling us to use which operation?

Subtraction

200

Write x - 15 in words

15 less than x

The difference of x and 15

x decreased by 15

200

27 decreased by x

27 - x

200

Simplify when x = 5 and y = -3: xy + -x

-20

300

(3 x 7)2 - 8 ÷ 2

437

300

Name two examples of key words for multiplication

Possible answers:

Times

Product

Of

Twice a number

300

Write in words: 5x

The product of x and 5

5 times x

300

The quotient of x and 8

x ÷ 8 or x/8

300

Simplify when x = 8 and y = -2: x2 - 5y + 16

90

400

53 - 2(18 x 0.5 + 17) ÷ 4

112

400

Name two examples of key words for division

Possible answers:

Quotient

Divided by

Spit evenly

400

Write in words: 3x + 5

Triple a number increased by 5

The sum of three times a number and 5

5 more than 3 times a number

400

Twice a number decreased by 7

2x - 7
400

Simplify when x = 0.5 and y = 4: 9x - y2 + xy

-9.5

500

16 + 36 ÷ 4 - (10 + 5 x -3)2

0

500

Name two examples of switch phrases

Possible answers:

Less than

Subtracted from

Goes into

500

Write in words: x/2 - 7

7 less than the quotient of x and 2

7 subtracted from the quotient of x and 2

x divided by two decreased by 7

500

The sum of 15 and the quotient of x and 4

15 + x/4

500

Simplify when x = 9, y = -3, and z = 12: x2 + 5y - 3z

30

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