Expressions, Distributing, and Like Terms

Parts of the Expression

100

8x + 9x + 3y - 5y

Coefficients?

Constants?

Variables?

Coefficients: 8, 9, 3, -5

Constants: None

Variables: x and y

200

7x - 3 - 8x

Coefficients?

Constants?

Variables?

Coefficients: 7, -8

Constants: -3

Variables: x

300

-10 - 4a + 5b + 3a

Coefficients?

Constants?

Variables?

Coefficients: -4, 5, 3

Constants: -10

Variables: a and b

400

7x - 3y - 16x + 4y - 2xy

Coefficients?

Constants?

Variables?

Coefficients: 7, -3, -16, 4, -2

Constants: None

Variables: x and y

500

4x - 18x + 81 - 17 + 19a - 6b - 17a - 3b + 9b - 2a

Coefficients?

Constants?

Variables?

Coefficients? 4, -18, 19, -6, -17, -3, 9, -2

Constants? 81, -17

Variables? x and a and b

Distributive Property

100

What operation do you do when you distribute?

Multiplication 

200

2(9x+11)

18x+22

300

-3(5x+20)

-15x-60

400

-3(4y+5x)+6

-12y-15x+6

500

-2(3y-8x)+4y

-2y+16x

or

16x-2y

Combining like Terms

100

2a + 4b + 3a + 5b

5a + 9b

200

x + y +2x

3x + y

300

i - 7j + 9k - 2i + 7j + 9k

-i + 18k

400

19a - 6b - 17a - 3b + 9b - 2a

0

500

-11(4r + 7q) + 20q - 19r

-63r - 57q

Evaluating

100

What does "evaluate" mean?

Solve

200

Evaluate the expression when g=70 and j=53

g+j

123

300

Evaluate the expression when m=6 and n=8

5m+6n

48

400

Evaluate the expression for w = 12 and z = 5

9w-4z

88

500

Evaluate the expression when x = 4 and y = 5

4x³+2y

266

Vocabulary

100

A variable is a __________

symbol or letter

200

A number without a letter is called a

Constant

300

What are the operations?

Addition

Subtraction

Multiplication

Division

400

Terms are LIKE terms if they have the same _______

Variable (or letter)

500

What are the 3 parts of an algebraic expression?

Numbers

Variables

Operations