Collecting Like terms

Vocabulary

100

In an expression what is a letter or a number by its self 

e.g. 4f, f, 6

A term

200

What are terms that contain the same letter or do not have a letter at all? 

e.g., -f, 6f

Like term

300

What is a mathematical phrase that contains numbers, operations and/or variables but has not = sign

e.g., 5x + 2x + 2f

An expression 

400

What is it called when we collect, add and subtract terms and like terms 

Simplify

500

A symbol that is usually a letter of the alphabet, that is used to represent a quantity that can change

A variable 

Adding terms

100

8a + 15a + a + 9

24a + 9

200

5x + 35 + 4x + 7

9x + 42

300

32 + 12t + 16t + 8

28t + 40 

400

75f + f + f + f²

77f + f²

500

m² + 9m² + m + 10m  

10m² + 11m

Subtracting terms

100

21b - 6b

15b

200

12c - 6c - 30

6c - 30

300

5z - 55 - 26 - z

4z - 81

400

-7d - 40 + 8d 

d - 40

500

-15j - 18k - 20j - 18k

-35j - 36k

Adding and Subtracting Terms

100

-7w - 5 + 17w + 15

10w + 10

200

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

0

300

-2f - 1f + 6 + 5f

2f + 6

400

5r + 3q - 8q + r

6r - 5q

500

53t + 20r + 17 - 10t

20r + 43t + 17

Solving equations

100

x + 7 = 21

What is x?

14

200

3x + 3x = 18

What is x?

3

300

-3x + 4 = 16

What is x?

-4 

400

-5x + -6x = -22

What is x?

2

500

-x² + y² = 34

What are x and y?

x = 5 

y = 3