Algebraic Expressions

Vocabulary

100

A letter or symbol used to represent a number or quantities that vary 

variable

200

Expressions that contain the same variables to the same power. 

Like Terms

300

What property do you use to simplify: 3(x +4) ?

distributive property

400

The rules to be followed when simplifying expressions.

combine like terms

500

A mathematical combination of numbers and at least one operation.

algebraic expressions

Identify Like Terms

100

Identify Like terms in the expression:

2x + 4x +2

2x and 4x 

200

Identify Like Terms in the expression:

3z -2x - z + 12x +10

3z & -z; -2x and 12x

300

Identify Like Terms in the expression:

-2y -2x + 10 + 2m

None 

400

Identify Like Terms in the expression:

15x+ 9x - 2 - 2

15x and 9x , -2 and -2

500

Create 3 terms are "like" to  12xy

For example:

1xy

15xy

-12xy

Combine Like Terms

100

Simplify the expression: 2x + 1 + 7x

9x + 1

200

Simplify:

-9n + 12n + 7 - 12

3n -5

300

Simplify:

-3 + 5xy + 8 -2x -3xy

5 + 2xy-2x

400

Simplify the following expression:
(5 + 4x) + (2x - 8)

6x -3

500

Simplify the following expression:
(5 + 4x) - (2x - 8)

13 + 2x

Using the Distributive Property

100

Simplify the expression:
8(5 + w)

40 + 8w

200

Simplify the expression:
-8(4b - 5)

-32b +40

300

2.5(2x + 1)

5x + 2.5

400

-3.5 (8x -1)

-28x + 3.5

500

1/2 (8x + 5) - 2.5x

1.5x + 2.5

Mixed

100

Simplify  3(1 - 2x) + 7

10 -6x

200

 Simplify:
3(9 + 2d) + 4d

27 + 10d

300

8h +7(2 + 4h)

HINT! Combine like terms after using the distributive property.

36h + 14

400

Simplify:
3(9 + 2d) + 4d

10d + 27

500

6(2r+10) - 5(x+2)

12r + 60 -5x -10

12r -5x +50