PH equations

Solving Multi-Step Equations

100

4p - 7 = 5

 p = 3

200

2(x + 5) = 12

 x = 1

300

(c/4) - 8 = -42

 c = -136

400

4x + 5x - 2 = 34

 x = 4

500

-(x - 3) +7 = 54

 x = -44

Solving Equations with Variables on Both Sides

100

n - 2 = 4 - 2n

n = 2

200

3 - 4q = 10q +10

q = -1/2

300

5t - 9 = -3t +7

t = 2

400

3(1 + 2d) - 4 = 3d - 2

d = -1/3

500

2(2y + 8) = 2(y - 7)

y = -15

Solving (HARD!)

100

(x/4) = (6/3)

x = 8

200

(2/9) = (8/x)

 x = 36

300

(2/3) = (b + 5)/9

b = 1

400

(n + 4)/2 = (n - 1)/ 3

n = -14

500

5/(3x + 8) = -2/(x - 1)

x = -1

Substitution

100

m = abc

Find m if a=4, b=-2, c=3

m = -24

200

x = 2t² + t

Work out x when t=-3

x = 15

300

d = c/2 + 4a

Find c if d=2 and a=-1

c=12

400

h=cd + ef

Find h if c=2,d=-3,e=4,f=-5

h = -26

500

k = abc

Find b if k=12, a=2, c=3

b = 2

Rearranging Formulas and Equations

100

5x = y 

Make x the subject

 x = y/5

200

yx + a = cx 

Make a the subject

a = cx - yx     =x(c-y)

300

4y - b = c 

Make y the subject

y = (c + b)/4

400

3x - 4y = 7 

Make x the subject

 x = (7 + 4y)/3

500

ax + bx = c solve for x

x = c/(a + b)