Linear Equations Test Review

Simplify

100

-6a + 9a + 4 - 2

3a +2

200

-17a + a + 24a

8a

300

3(7y +9)

21y +27

400

An equilateral triangle has a side length of 7y + 3.  What is the expression of its perimeter?

21y + 9

500

1/2(12w + 8) - 7w

-1w+4  or   -w+4

Solve 2 step:

100

6h + 12 = 36

h = 4

200

w/2.5 = 3

w = 7.5

300

v / 3 + 33 = 40

v = 21

400

1.5y + 2 = 8

y = 4

500

7m - 17 = 60

m =11

Multi step:

100

4p + 14 + 4p = 38

p = 24

200

2(5m - 10 ) = 20

m = 4

300

5r + 5r + 5r = 30

r = 2

400

8 (-2g - 1) = 8

g = -1

500

1/5 (30x - 10) = 15

x=3

2 sided equations

100

8t - 7 = 4t +21

t = 7

200

13v + 9 = 6v -12

v = -3

300

10c - 6 = 7c +18

c = 24

400

3(2x +1) = 5(x - 4)

x = -23

500

30p - 8 = 20p + 42

p = 5

Special Cases

100

What is the solution?  5y + 9 = 5y +9

Infinite or All Real Numbers

200

2w - 11 = -11 + 2w

Infinite or All Real Numbers

300

3(4r + 6) = 12r + 9

No solution

400

If Mason finishes his double sided equations and is left with "3 = 3" , which solution is it?

a)  One solution

b) No solution

c)  All real numbers (also called infinite)

c

500

If Karon ends her equation work with "19 = 2", what type of solution is it?

a)  One solution

b)  No solution

B