Module 5 - Algebraic Expressions

Basic CLT

100

8a + 15a + a + 9

24a + 9

200

21b - 11b - 10 - 12b

-2b - 10

300

8x + 9x + 3y - 5y

17x - 2y

400

12c - 6c - (-30)

6c + 30

500

-5r + 3q - 8q - r

-6r -5q

Distributive Property

100

5(x - 12)

5x - 60

200

-7(m + 11)

-7m - 77

300

12(-t - 4)

-12t - 48

400

-13(3m - 7n)

-39m + 91n

500

-14(-8y - 11z)

112y + 154z

Simplifying Expressions

100

-10(w + 5) + 17w + 31

7w -19

200

-21f - 6(2f - 6) + 18f

-15f + 36

300

-7d - 8(-5 - d)  

d + 40

400

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

-63r - 57q

500

53t - 5(13t - 20r) + 17 - 47t

-59t + 100r +17

Factoring

100

Factor:  18x+72

9(2x+8)

200

Factor:  14x+42

14(x+3)

300

Factor:   45x−25 

5(9x−5)

400

Factor:  4x - 12y + 28 

4(x - 3y + 7)

500

Factor:   -36ax + 60a

-12a(3x - 5)  or  12a(-3x + 5) 

Vocabulary

100

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

variable

200

To replace a variable with a specific number.

substitute

300

A number with a value that is always the same; DOES NOT contain a variable.

constant

400

To multiply a number into ALL terms of the quantity.

Distribute

500

Rewriting a simplified expression as a multiplication problem. AKA "reverse distributing"

factoring