ACC Exponents and Expressions

Translating Expressions

100

x less than 8

8-x

200

1/2 of x, less 2

1/2x - 2

300

One-half of y added to the product of 4 and x

4x + 1/2 y

400

the product of 5 and p divided by 3

5p/3

500

the quotient of n and 8, doubled

(n/8)2

Simplifying Expressions

100

2 + 4(x + 2)

4x + 10

200

-(x + 3) - 2(4x - 3)

-9x + 3

300

5b - 2(7 - b)

3b - 14

400

2x - 3(5x - 8)

2x - 15x + 24

500

10 - 3(p + 2)

-3p + 4

Simplifying Expressions 2

100

-3n - 8n

-11n

200

13 - 4(x - 5)

13 - 4x + 20

300

10 + 2(4 + w)

2w + 18

400

3(x + 4) + 5x - 14

8x -2

500

4x - 7x + x

-2x

Properties

100

1 + (x + 3) = (1 + x) + 3

Associative Property of Addition

200

3(1 - x) = 3 - 3x

Distributive property

300

a + b = b + a

Commutative Property of addition

400

a + (1 + 2) = a + (2 + 1)

Commutative Property of addition

500

[(f)(g)](h) = (f)[(g)(h)]

Associative property of multiplication

Miscellaneous

100

1/2 + 3/8

1/2 =4/8 + 3/8 = 7/8

200

-14 - 6

-14 + -6 =-20

300

7.42/.3

24.7333

400

8 + -5

3

500

1/3 - 5/6 + 7/18

6/18 - 15/18 + 7/18

13/18 - 15/18 = -2/18 = -1/9