Big Ideas Ch 3: Expressions and Equations

3.1 Combining Like Terms

100

3x -6x 

-3x

200

4x + 2 - 3x 

x + 2

300

2(3x -3)

6x - 6

400

4(2x - 4) 

8x - 16

500

-2(x + 2) - 5

-2x - 9

3.2 Adding/Subtracting Linear Equations

100

(3x + 4) + (2x + 1) 

5x + 5

200

(5x - 6) + (5x - 6)

10x - 12

300

(6x +3) - (2x - 2) 

4x + 5

400

-3(3 - 4x) - 6x

-9 + 6x

500

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

5x - 7

3.3 Solving One Step Using +/-

100

x + 6 = 3

x = -3

200

x - 8 = -2

x = 6

300

8 = x + 2

x = 6

400

1/3 + x = 3/4

x = 5/12

500

-5/2 = x - 9/2

x = 2

3.4 Solving One Step Using Multiplication/ Division

100

3x = -9

x = -3

200

-4x = -20

x = 5

300

1/3x = 2/5

x= 6/5

400

x/4 = 12

x = 48

500

x/2 = -5

x = -10

3.5 Solving 2-Step Equations

100

3x - 4 = 11

x = 5

200

-2x - 6 = 15

x = -10.5

300

x/3 + 2 = 12

x = 30

400

It costs $12 to rent a jet ski and an additional $15 every hour. If you spent $57, how many hours did you rent the jet ski for? 

Rented jet ski for 3 hours 

500

1/3x + 5/2 = 1/2

x = -6