Big Ideas Ch 3: Expressions and Equations

Combining Like Terms

100

3x -6x 

-3x

200

4x + 2 - 3x 

x + 2

300

4x - 6 + 8 - 7x

-3x + 2

400

-12x + 21 + 15x - 16 - 23x

-20x + 5

500

12.3 + 15.4x - 23.1x + 17

29.3 - 7.7x

Distributive Property

100

2(3x + 5)

6x + 10

200

-5(4 - 6x)

-20 + 30x

300

(6x +3) - (2x - 2) 

4x + 5

400

-3(3 - 4x) - 6x

-9 + 6x

500

2(4x - 6) - 3x + 5

5x - 7

Solve 1-Step Equation

100

x + 6 = 3

x = -3

200

x - 8 = -2

x = 6

300

-4x = -20

x = 5

400

x/4 = -12

-48

500

-2.5 = x + 4.5

x = -7

Solve 2-Step Equation

100

3x - 4 = 11

x = 5

200

-2x + 6 = 18

x = -6

300

x/3 + 2 = 12

x= 30

400

-x/5 - 6 = 6

x = -60

500

4.5 - 6x = 16.5

x = -2

Change Word Phrases to an Expression or Equation

100

The product of 42 and x

42x

200

The sum of x and 15 is -36

x + 15 = -36

300

24 is the difference of x and 17

24 = x - 17

400

The quotient of x and 15

x/15

500

The sum of 11 and twice a number x is 31

11 + 2x = 31