Solving Equations

Single Step

100

x - 3 = 8

What is x?

x = 11

200

x + 10 = -2

What is x?

x = -12

300

2x = 14

What is x?

x = 7

400

x/-4 = 6

What is x?

x = -24

500

-8/9x = 32/45

What is x?

x = -4/5

Multi-Step

100

2x + 7 = 39

What is x?

x = 16

200

15x - 37 = 23

What is x?

x = 4

300

-x - 8 = 7

What is x?

x = -15

400

1/6x + 5/2 = 17/3

What is x?

x = 19

500

23.4x - 14.7 = 378.42

What is x?

x = 16.8

Justify w/ Properties

100

What equality property lets you add the same number to both sides of an equation?

Addition Property of Equality

200

What equality lets you multiply the same number to both sides of an equation?

Multiplication Property of Equality

300

What property is shown here?

x(y - 3) = xy - 3x

Distributive property

400

Solve for x and justify your steps equality properties:

2x + 4 = 12

x = 4: Subtraction property of subtraction, then division property of division

500

Solve for y then justify your steps with equality properties:

3(x + y) = 9

y = 3 - x: Distributive property, Subtraction property of equality then division property of equality

Multi-Step

100

2b + 8 + 6b = 64

What is b?

b = 7

200

3(2x - 19) = 3

What is x?

x = 10

300

58 - (x - 2) = 60

What is x?

x = 0

400

2(x + 8) = 6(x - 9)

What is x?

x = 17.5 or 35/2

500

a + 2 + a - 6 = a - 9

What is a?

a = -5

Multi-Variable

100

Solve for x:

y = x + 5

x= y - 5

200

Solve for b:

ab = c

b = c/a

300

Solve for r

C = 2xr

r = C/2x

400

Solve for h:

A = bh/2

h = 2A/b

500

Solve for C

F = 9/5C + 32

C = 5/9(f - 32)