Solving Equations (pre-algebra)

1 Step Equations

100

-4 + x = 12

x=16

200

-6y = -12

y=2

300

x - 14 = -3

x = 11

400

k/-4 = 8

k = -32

500

0.75a = 6

a = 8

2 Step Equations

100

2x + 5 = 9

x = 2

200

4z + 4 = -8

z= -3

300

20 = 5 - 3p

p = -5

400

4 = 3 - b

b = -1

500

2y - 3 = 4

y = 7/2 = 3.5

Simplify Expressions

100

7x + 5x

12x

200

m + 3m - 3

4m - 3

300

6n + 1 - 2n + 5c

4n + 5c +1

400

10b + 8(b - 1)

18b - 8

500

3(s + 2) - s - 8

2s - 2

Multi-Step Equations

100

7d - 12 + 2d + 3 = 18

d = 3

200

4n + 11 - 7n = -13

n = 8

300

3x + 4 = 5

x = 1/3 = 0.333...

400

3(2x - 5) = 9 + 6x

no solution

500

1 - 6m + 6 = -4m + 3

m = 2

It's a Mystery

100

write the equation:

"three times a number, x, is equal to negative 10"

3x = -10

200

how many solutions are there for this equation:

4x - 2 = 4x - 2

infinite solutions

300

write the equation:

"one less than a number, y, is equal to -5"

y - 1 = -5

400

name the property:

5(3 - n) = 15 - 5n

distributive property

500

The number of girls in the school is 105 less than 3 times the number of boys. There are 75 girls in the school. How many boys are there?

g = 3b - 105

75 = 3b - 105

b = 60