COMBINING LIKE TERMS REVIEW

DEFINITIONS

100

WHICH ARE THE VARIABLES?

12X    7Y    -9Z       13    R

VARIABLES ARE THE LETTERS.

X   Y  Z  R

200

WHICH ARE THE COEFFICIENTS?

-7X   -9Y     10Z   -10    20

COEFFICIENTS ARE THE NUMBERS BEFORE THE LETTERS.

-7    -9   10

300

WHICH ARE THE CONSTANTS?

-10   -11X    X

-10 IS THE CONSTANT.

A CONSTANT IS A NUMBER BY ITSELF.

400

WHICH ARE THE LIKE TERMS?

-12XY    10X   13Y   5    24XY

LIKE TERMS ARE HAVE IDENTICAL VARIABLES.

-12XY    24XY

500

WHAT IS THE MEANING OF THE DISTRIBUTIVE PROPERTY IN MATH?

THE DISTRIBUTIVE PROPERTY MEANS YOU SHARE BY MULTIPLYING THE OUTSIDE NUMBER TO EVERYTHING ON THE INSIDE.

COMBINE LIKE TERMS

100

SIMPLIFY

3X + 2X

5X

200

Y + Y - 10X

2Y - 10X

300

-X + X - 5 + 5

0

400

5X^{2 -} 7X² + 4X²

2X²

500

1/2X + 2/3X

7/6X

DISTRIBUTIVE

100

-2(2X + 5)

-4X - 10

200

7(X - 3)

7X - 21

300

13(4 - 2X) 

52 - 26X

400

-2(3X - 5)

-6X + 10

500

4N + 3(6 + 4N) 

4N + 18 + 12N

16N + 18

FACTOR

100

24 - 16X

8(3 - 2X)

200

-8X + 24

8(-X + 3)

300

15X + 35

5(3X + 7)

400

-4X - 16

-4(X + 4)

OR

4( -X - 4)

500

12XY - 10X²Y

2X(6Y - 5XY)

UH OH NEGATIVE SIGN

100

-9(6M - 3) + 6( 1 + 4M)

-54M + 27 + 6 + 24M  = -30M +33

200

10 - 3(15N - 9)

10 - 45N + 27 = -45N + 37

300

-2N - 3(3 - 10N)

-2N - 9 + 30N = 28N - 9

400

12R - 8 - 12

12R - 20

500

12A³B - 15AB^{3 -} 9AB

3AB(4A² - 5B² - 3)