Algebraic Expressions

Parts

100

A number on its own

Constant

200

A letter that represents a number in math

Variable

300

Terms with the same variables and powers

Like Terms

400

The number in front of (being multiplied to) a variable

Coefficients 

500

Identify the Variable, Terms, Like Terms, Constant, and Coefficients of this expression:

x² + 2x² - 4x + 1

V: x

Terms: x², 2x², -4x, 1

Like Terms: x², 2x²

Constant: 1

Coefficients: 1, 2, -4 

Combining Like Terms

100

Combine like terms:

4x + 7 - 6x - 2

-2x + 5

200

Combine Like Terms:

5 - 6x - 2x - 7

-8x - 2

300

Combine Like Terms:

-7n + 4n + 9

-3n + 9

400

Combine Like Terms:

9 - 3p + 8p - 1

5p + 8 

500

Combine Like Terms:

7 - 3y + 4y - 9

y - 2

Substitution Property

100

a – 3b + c²        if a = -2, b = 1, and c = 3

4

200

-b – 4ac       if a = -1, b = 6, and c = 3

6

300

xy ÷ 6 + 10    if x = 7 and y = 6

17

400

x² – 4x + 3     if x =  5

8

500

m - p ÷ 5 - 4m     if m = 1 and p = 10

-5

Distributive Property

100

2(4x + 6)

8x + 12

200

-5(3y - 2)

-15y + 10

300

4(3p - 6) - 5p

7p - 24

400

1 + 8(2x - 3) 

16x - 23

500

7x(1 + y) - 2xy

7x + 5xy

Mix

100

10 - 3x + 7x - 4

4x + 6

200

8x + 3y - x + y      if x= 1 and y= 3

19

300

2y(4 + 2x) - 7xy

8y - 3xy

400

5x + 6x - 7

11x - 7

500

4x - 5y + 3 - 1     if x= 3 and y = 1

9