Expressions

Distributive Property

100

Rewrite each algebraic expression

6 (n + 4)

6n + 4

200

Use the distributive property to decompose and evaluate. 

9 x 68 

9 ( 60 + 8)

(9 x 60) + (9 x 8)

540 + 72

612

300

Use the distributive property to decompose and evaluate.

7 x 42

7 (40 + 2)

(7 x 40) + (7 x 2)

280 + 14

294

400

Factor each expression using the GCF and the distributive property

42n + 49

7 (6n + 7)

500

Factor each expression using the GCF and the distributive property

27 + 12

3 (9 + 4)

Properties

100

8 x c = c x 8

8 + c = c + 8

commutative property 

200

c x 1 = c 

Identity property

300

(6 x n) x 7 = (7 x 6) x n

associative property

400

6 (f + 2) = (6 x f) + (6 x 2)

distributive property 

500

0 + 5 = 5

additive identity 

Combining Like Terms

100

8v + 3 - 2v - 1

6v + 2

200

4n - 6 + 8n + 10

12n + 4

300

13a + 10 - 6n - 3

7a + 7

400

4 (y - 7) + 3y + z

7y - 28 + z

500

2 + 8 (2a - 2) + 17a

33a - 18

Vocab/Order of O.

100

coefficient

a number multiplied by a variable

200

Term

The parts of an expression that are separated by an addition or subtraction sign

300

variable

a letter or symbol that stands for one or more numbers

400

Use Order of Operations to solve.

(40-10) + 13 - 2²

29

500

50 - 2 x 5 + 7²

89

Let statements

100

Write and algebraic expression for the word expression.

15 more than the product of w and 3

3w + 15

200

Write and algebraic expression for the word expression.

7 less than the product of f and 6

6f - 7

300

Create a let statement and an algebraic expression.

Eight feet more than the height 

Let h = the height

Algebraic expression: h + 8

400

Create a let statement and an algebraic expression.

One third of the volume 

Let v = the volume

Algebraic expression: v x 1/3 

500

Create a let statement and an algebraic expression.

Marie paid $8 to enter the carnival area and then bought 50 game tickets.

Let g = the price of one game ticket

algebraic expression: 50g + 8