Unit 6 Review

Solving Equations (show work on the board)

100

3x + 5 = 11

x = 2 

200

2y - 3 = 9 

y = 16 

300

6x - 3 = 2x + 13 

x = 4 

400

-3x + 1 = 23 - x 

x = -11 

500

3w - 4 = -15 + 9 + w 

w = -1 

Let's Distribute!

100

3 ( 5x + 5) 

15x +15 

200

3 (2y + 7) 

6y + 21 

300

-5  ( 2  - 5n ) 

-10 + 25n 

400

6 ( x + 1 ) + 2 ( x + 3 ) 

6x + 1 + 2x + 6 

Final answer = 8x + 7 

500

.5 ( 4x + 8 ) 

2x + 8 

*.5 is saying the same thing as a half 

This is...Factoring

100

10m + 15 

5 (2m + 3) 

200

36r + 16 

4 (9r + 4) 

300

24 - 40b 

8 ( 3 - 5b ) 

400

-5f - 35 

-5 (f + 7) 

500

3n + 15m + 24t 

3 (n + 5m + 8t)

Solving and graphing inequalities (show work on board)

100

Name these signs 

<    >    ≥    ≤

less than <

greater than >

greater than or equal to ≥

less than or equal to ≤

200

x + 7 < 8

x < 1

graph = 

open circle on 1 and line pointing to the left 

300

4x > 24

x > 6

graph = 

open circle on 6 and line pointing to the right 

400

3x - 1 ≥ 14

x ≥ 5

graph = 

closed circle on 5 and line pointing to the right 

500

5x + 3 ≤ -22

x ≤ -5 

graph = 

closed circle on -5 and the line pointing to the left 

What are LIKE TERMS

100

5m + 3m 

8m 

200

10n + 6 - 1 + 12n 

22n + 5 

300

2 - 4a + 6 

-4a + 8 

400

2 - 8r + 3 - 5r 

5 - 13r 

Why: 

2 + 3 = 5 

-8r - 5r = -13r

500

6x + 2 = 4x + 8 

x = 3