Combining Like Terms - ALg 1

Like or Unlike?

100

Like or Unlike?

8x + 3y

Unlike, x & y are different

200

Like or Unlike?

-8xy + -8hy

Unlike x and h are different 

300

Like or Unlike?

100x^2y + 100x^3y

Unlike x² and x³ are different

400

Like or Unlike?

54as^3z+89s^3az

Like terms - both letters are the same, order does not matter.

Combining 2 terms (May Use Calc)

100

8x+3x+x

12x

200

Solve:

8x+3y-10x=

-2x+3y or 3y-2x

300

Combine Like Terms:

10(2a + 9b) +10b + 11a + 4b 

20a + 90b + 10b + 11a + 4b

31a + 104b   or 104b + 31a

400

Distribute & Combine:

-8x + 7y - 8y - 10(3x + 3y) = 

-8x+7y-8y-30x-30y = -8x - 30x = -38x and

 7y-8y-30y=-31y so 

-38x-31y; OR; -31y-38x

Fractions (NO CALC)

100

16-6 1/2=

16 - 6 = 10, so 

10- 1/2=9 1/2

200

7-4 2/5=

2 3/5

300

12-9 3/8=

2 5/8

400

21-17 3/10

3 7/10

More Combining Like Terms (May Use Calc)

100

Distribute -8(3x - 10)

24x + 80  (they MUST have + 80, not - 80) 

200

Combine: 

12x^2-10x+14x^2-x=

26x^2-11x ; OR; -11x+26x^2

300

8y+9x-3y-9x-5y=

0 (everything cancels out)

400

Distribute and combine like terms

7 + 3(7y - 5) - 20y + 8= 

7 + 21y - 15 - 20y + 8

7 - 15 + 8 = 0 so they cancel

21y - 20y = y or 1y

Half (No CALC)

100

(No Calc) What is half of: 86

43

200

(No Calc) What is half of: 98

49

300

(No Calc) What is half of:256

128

400

(No Calc) What is half of:758

Half of 700 is 350

Half of   50 is  25

Half of     8 is    4

Add them all up  = 379