Collecting Like terms

Vocabulary

100

In algebra, these letters can be used to represent an unknown quantity (or number). 

Hint: In English, words have letters. In Math...?

What is a "pronumeral"?

200

ln algebra, these contain a mix of numbers and letters that are separated by math operators like +, - or x. 

E.g.  2x + 5zy - 7

Hint: In English, there are sentences. In Math, there are...? 

What is an "expression"?

300

Two other words used to mean "adding" or "multiply" in an algebra sentence.

What is a "sum" and "product"?

400

A number in from of a letter. 

E.g. 2 in 2a,  5 in 5bc  or 1 in wz  

What is a "coefficient"?

500

When you replace a letter with a number to do an algebra calculation. 

What is "substitution"?

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

Like Terms or Not Like

100

7x + 7

Not Like 

200

3x - 4x + x

Like

300

4x + 7xy + x²

Not Like

400

5x² + 2x

Not Like

500

10xy² - 5xy² + xy²

Like