Multi-Step Equations & Variables on Both Sides Review

Multi-Step

100

72 + 4 - 14d = 36

d = 2 6/7 or 20/7

200

17 = p - 3 - 3p

p = -10

300

64 = 8(r+2)

r = 6

400

7(f - 1) = 45

f = 7 3/7 or (52)/7

500

-4(r + 6) = -63

r = 9.75 or 9 3/4 or 39/4

Multi-Step w/ fractions & decimals

100

5y - 3/5 = 4/5

y = 7/25

200

b/3 + 1/8 = 19

b = 56 5/8)

300

(11z)/16 + (7z)/8 = 5/16

z = 1/5

400

1.025v + 2.458 = 7.583

v = 5

500

25.24 = 5g + 3.89

g = 4.27

Variables on both sides

100

4p + 2 = 3p - 7

p = -9

200

3n - 1 = 4 + 7n + 11

n =-4

300

3(q - 5) = 2(q + 5)

q = 25

400

2(a - 4) = 4a - (2a + 4)

No Solution 0 = 4

(Meaning no number will answer solve for a)

500

4 - d = -(d - 4)

Infinite Solutions 0 = 0

(exactly the same equations)

V.O.B.S w/ decimals & fractions

100

5.5 + 4.3d = 3.3d + 3.5

d = -2

200

5/4(4x -4) = -2 + 10x + 12

x = -3

300

1/2h + 1/3(h - 6) = 5/6h +2

No Solution

400

-2(-c - 1.2) = -2c - 1.2

c = -.9

500

3(m + 3/2) = 3/2(2m + 3)

Infinite Solutions  0 = 0

(exactly the same equations on both sides)

Literal Equations

100

A = (bh)/2

solve for b

(2A)/h = b

200

I= prt  solve for r

r = I/(pt)

300

V = 2pir^2h

Solve for h

h = V/(2pir^2)

400

P = 2w + 2l

Solve for w

w = (P -2l)/2 or P/2-l

500

V = 4/3 pir^3

Solve for r

r = root(3)(3/4 Vpi)