Combining Like Terms and Linear Expressions

Combining Like Terms (Fractions & Decimals)

100

-11/9x + -1/9x

What is -12/9x or -1 1/3x

200

-11/4x + 1/5x

What is -2 11/20x

300

 -8 + 2.3x – 2.7x – 5.4x + 6

What is...  -2 - 5.8x 

400

3(5.8 – 9x) + 8.2 + 12x

What is... 25.6 - 15x

500

There is a pentagon drawn on a paper. The side lengths are 3x, 4, 5x, 2, 7x. What is the perimeter of the pentagon?

What is 15x + 6

Distributive Property

100

8(4x + 2)

What is 32x + 16

200

6(4x - 9)

What is 24x - 54

300

-5(3x + 6)

What is -15x + -30

400

-8(7x - 6)

What is -56x + 48

500

1/4(32x - 16)

What is 8x - 4

Combining Like Terms (Integers Only)

100

-6k + 7k

What is k or 1k

200

12r - 8 - 12

What is 12r - 20

300

n - 10 + 9n

What is 10n - 10

400

-4 + 7(y - 3)

What is 7y - 25

500

-9(6x - 2) + 6(1 + 4x)

What is -30x + 24

Adding Linear Expession

100

(4c+9) + (7c-5)

What is 11c + 4

200

(2x - 7) + (-8x + 5)

What is (-6x + -2)

300

(2c+2) + 6(4c-7)

What is 26c + (-40)

400

2(4x + 3) + 5(2x + 9)

What is 18x + 51

500

1/5(30x - 20) + 1/6 (12x + 24)

What is 8x

Subtracting Linear Expession

100

(4y + 7) - (7y + 12)

What is -3y - 5

200

(6y - 3) - (2y - 5)

What is 4y + 2

300

(-6d+1) - 3(7+2d)

What is -12d - 21

400

-8(-2x - 3) - 2(3x - 5)

What is 10x + 34

500

1/4(8x - 32) - 1/7(14 - 42x)

What is 8x - 10