Equations & Expressions

Simplifying Expressions

1

3(x-2)

3x-6

2

-9(-2x-9)

18x+81

3

-1/3(9-9a)

-3+3a

4

9a - 4(a+9)

5a-36

5

5(-x-9)-(7-x)

-4x-52

One-Step Equations

1

4 = -8 + x

x= 12

2

x + 12 = 0

x= -12

3

3 = -2 + x

x = 5

4

5x = -80

x= 16

5

-1.6 = x/2

x = -3.2

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

(x/2) +10=-8

x= -36

4

(x/2)-4=10

x= 28

5

(x/3)+12=-3

x= -45

Two-Step with Distribution

1

Solving Equations

3(x - 2) = 6

x = 4

2

Solving Equations

-6(p + 9) = 6

p = -10

3

Solving Equations

2(n-7) = 4

n = 9

4

Solving Equations

5(m-3) = 4

m = 19/5

5

Solving Equations

3(𝑥 − 9) = −1.5

x = 8.5

Writing Equations

1

Max is walking to school, suddenly the pizzabus comes and picks Max up and drives 2 miles to school. The distance from Max's house to the school is a total of 3 miles. 

m + 2 = 3

2

Elizabeth has $100. She gets robbed and now has $1.

100 - x = 1

3

The current temperature is 27 degrees. The temperature will go up 2 degrees each hour. 

27 + 2x = 56

4

Syed is going up in an air ballon that is currently 100 feet above the ground. It goes up at a rate of 20 feet per minute. How long until Syed is 700 feet off the ground?

30 minutes

5

You have $200 to spend on a party. It costs $75 for food. You hire a clown that charges $25 per hour. How long can the clown stay for?

5 hours