Order of Ops
Word Phrases
Properties
Zero and One
Distributive Property
100

-30 ÷ 5(3) + 20

2

100

Write the expression for
Nine minus the quotient of twelve and two

9 – 12 ÷ 2

100

Which property is being shown?
 9(x + 5) = 9x + 9•5

Distributive Property

100

Simplify  1x + 0y

x

100

Write an equivalent expression that demonstrates distributive property.

4(4y+2)-1

16y+7

200

-12 + (52 – 30)

-7

200

Write the expression for
Four more than the product of seven and three

7 • 3 + 4

200

Which property is being shown?
 6(x + 3) = 6x + 6•3


Distributive Property

200

Simplify 7v • 1

7v

200

Write an equivalent expression that demonstrates distributive property.

7(5x-6)-2

35x-44

300

24(17 – 2•8)

24

300

Write the expression for
The difference of  ten and four, divided by two

( 10 – 4 ) ÷ 2

300

Which property is being shown?
2 • d • 6 = d • 6 • 2

Commutative property of multiplication

300

Simplify: 1x+(x/x)

x+1

300

Use the distributive property to write an equivalent expression:
3 • 7 + x • 7 =

( 3 + x ) 7or 7(3+x)

400

(8-4)2/(5-9) +3

-1

400

At Carl’s Crazy Critters, he has a lot of critters.  On Monday night, half of them escape.  On Tuesday, two dozen more ran away. Write an expression and define your variable.

c ÷ 2 – 2 • 12
c = the number of critters Carl had to start with

400

Which property is being shown?
x + (4 + z ) =  (x + 4) + z

Associative property of addition

400

Simplify: 1x-(x/1)

0

400

Write the equivalent expression that demonstrates the distributive property.
3(x + 9) =

3x + 27

500

(34+2•7)/(15+32) 

2

500

Clumsy Kate had a bag of marbles. She went to the store and bought seven more.  Then her mean sister Mean Jean stole half of her marbles.  Write an expression and define the variable.

( m + 7 ) ÷ 2
m = the number of marbles Kate started with

500

I had  forty apples.  I used half of them to bake an apple pie, then I gave some away to my friends.  Write an expression for how many I have left.  Define your variable

40 ÷ 2 – a
a = the number of apples I gave to my friends

500

Simplify: 0y + 0x + 1y + 1x

y+x

500

Distributive Property
Two friends each bought a slice of pizza for $2.50 and a medium soda.  Write two expressions that represent the total cost.

2(2.50 + s) = 2(2.50) + 2s

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