SOLVING EQUATIONS

Var. on Both Sides

100

- 2y - 24 = y - 9

y = - 5

200

96 - 8k = 3k + 63

k = 3

300

(2/3)n - 4 = 5n - 43

n = 9

400

2/5(r - 2) = 3/20(r - 4)

r = 4/5

500

0.4(0.3x - 1) = 2 + 0.75x

x = in fraction form

x= - 80/21 or   -3  17/21

Multi-Step 1

100

-3a + 12 -6a = -9

a = 7/3

200

6m - 11 = 2 + 9m - 1

m = - 4

300

- v + 5 + 4v = 1 + 5v + 3

v = 1/2

400

(a + 3)/6 = -2

a = -15

500

Three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1.

The number is - 3

Multi-Step 2

100

8b + 3b = 22

b = 2

200

19x -5 - 24x = 10

x = -3

300

2a + 5(a - 4) = 8

a = 4

400

6(2y + 6) = 72

What is the value of y?

6(2y + 6) =  72

12y + 36 = 72

12y = 36

y=3

500

-6(m + 1) + 18 = 24

m = -2

w/Distributive Prop.

100

- 65 = - (z - 2)

z = 67

200

7(f - 1) = 49

f = 8

300

4(d + 2)=7d + 20

d = - 4

400

68 = 5(2x + 5) + 3

x = 4

500

5(3 - m) + 10 = 5(5 - m)

infinitely many solutions or all real numbers

2-Step

100

2x + 3 =19

x = 8

200

-3k - 1 = -13

k = 4

300

-5m - 2 = -47

m = 9

400

-7b - 9 = 12

b= -3

500

0.5h - 7 = -9.5

h = -5