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Vocabulary
Combining Like Terms
Equivalent Expressions
Distributive Property
Solving Equations
100
In an expression, the parts being added together or subtracted. Example: 4x + 3x + 3y + 7y
What is a term?
100
8a + 15a + a + 9
What is 24a + 9
100
Are 12 + 3x and 3(4 + x) equivalent expressions?
Yes they are
100
Simplify using the distributive property


3p + 4e + 2(2p + 3e)

3p + 4e +4p + 6e

=7p +10e

100
Is 4 a solution to the equation 6x = 24
Yes
200
Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. Example: 3x + 9x or 7y + 3Y
What are like terms?
200
5x + 35 + 3x + 2
What is 8x + 37
200
Are 30y - 15 and 3(10y + 5) equivalent expressions?
No
200

Simplify using the distributive property

2r + 3x + 2(r - x)

2r + 3x + 2r - 2x

=4r + 1x or 4r - x

200
Is 5 a solution to the equation 25 - n = 15
No
300
A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x
What is an expression?
300
32 + 12t + 16t + 8
What is 28t + 40
300
An equivalent expression of 24x - 16
What is 4(6x - 4)


Answers may vary

300

Simplify using the distributive property

5t + 2c(1 + 3)

5t + 2c +6c

=5t + 8c

=8c + 5t (in correct order)

300
Solve for the variable


14/r = 7

r = 2
400
To perform all indicated operations, including combining like terms. When you do this you do not always get a number answer like 25 or 10 or -1. Frequently you get an expression as an answer, like 2x + 5.
What is simplify?
400
6p + 32e + 16p + 2e + 4p + 4
What is 26p + 34e + 4
400
Are 5x + 4(2x + 3) and 13x + 12 equivalent expressions? 
Yes
400

Simplify using the distributive property

6v + 4r + 2(3x + 2r + 5v + x)

6v + 4r + 6x + 4r + 10v + 2x

=16v + 8r + 8x

=8r + 16v + 8x

400
13 + x - 2 = 15
Combine like terms to solve:

11 + x = 15

x = 4

500
A symbol, usually a letter of the alphabet, used to represent a quantity that can change.
What is a variable?
500
m + 20n + 25m + 6n
What is 26m + 26n
500
What is the most simplified equivalent expression of 5x(3 - 2)?

What is 3x

500

Simplify using the distributive property

16s + 3(8s - x + 2m + x)

=16s + 24s - 3x +6m + 3x

=40s + 6m

=6m + 40s

500
4x + 6 - 2x = 10
Combine like terms to solve

=2x + 6 = 10

=2x = 4

x = 2