Pre-Algebra Review

One Step Equations

100

x - 18 = 29

x = 47

200

4j = 120

j = 30

300

j + 19.6 = 13

j = -6.6

400

k / 13.4 = 15

k = 201

500

t + 1/3 = 7/12

t = 1/4 OR 3/12

Two Step Equations

100

3q + 13 = 40

q = 9

200

g/2 - 12 = 1

g = 26

300

2.1w - 29 = 59.2

w = 42

400

(1/4)f + 40 = 4

f = -144

500

12.9r + 16.3 = 56.29

r = 3.1

Word Problems

100

You and your friend buy tacos. He has 19 tacos, which is 8 more than you had. Write an equation that represents this, and find how many tacos you had.

t + 8 = 19

t = 11

200

Jonas buys a snickers bar for $5 and 4 KitKats for his friends. In total, he spent 29 dollars. Write an equation, and find the price of a KitKat

4k + 5 = 29

k = 6

300

How old is Mr. Haas if 400 reduced by 2 times my age is 350

400 - 2a = 350

a = 25

400

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12

1/2m + 4 = 12

m = 16

500

Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Write and solve an equation to represent how much each tetra fish costs

8t + 2(t+8) = 37

t = 2.1

Literal Equations (A1)

100

x + y = z

Solve for x

x = -y + z

200

x + k - f = 90

Solve for k

k = 90 - x + f

300

v = lwh

Solve for h

h = v/lw

400

v = a + bc

Solve for c

c = (v - a)/b

500

lw = v/h

Solve for h

(This is probably the hardest question)

h = v/lw

Multistep Equations (A1)

100

2(x + 3) = 8

x = 1

200

4(2x + 9) = 52

x = 2

300

5x + 2 + 3x = 42

x = 5

400

-3(2x - 7) = 12 

x = 3/2 OR 1.5

500

1/2(x + 4) = 4/5

x = -12/5 OR -2.4