Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

Find the perimeter of the equilateral triangle with sides:  x + 3 and 6x - 12

x = 3

Perimeter = 3 + 3 +3 = 9

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

Find the perimeter of the square with sides

7x + 4 and 5x + 10

x = 3

Perimeter = 3 + 3 + 3 + 3 = 12

Both Sides

100

3x - 1 = 2x + 5

x = 6

200

m - 4 = 2m

m = -4

300

2(x - 3) = 4x + 1

x = -3.5

400

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

y = 1.6

500

A rectangle is 3 inches long and has a width of (x + 2). The perimeter and area are equal to each other. What is the value of x? 

x = 4

Equation Grab Bag

100

4x + 9 = 4x

No Solutions

200

x + 3x = 4x - 2 

No Solution

300

5x + 6 = 5x + 6

Infinite Solutions

400

-6(x - 2) = 12 - 6x

Infinite Solutions

500

In a bowl of fruit, 1/5 of the oranges are rotten. A total of 4 oranges are rotten. How many oranges are in the bowl? 

20 oranges 

Word Problems

100

In a soccer game, 1/5 of the players on team A scored a goal. A total of 4 players scored a goal. How many players are on the team?

20 players are on team

200

A rectangle is 6 inches long and 3x inches wide. The value of the perimeter is equal to the value of the area. Solve for x and calculate the perimeter and area 

x = 1

Perimeter = Area = 18 inches 

300

In a baseball game 1/6 of the players hit a homerun. If 3 players hit a homeroom, how many players are on the team? 

18 players are on team

400

Find the measure of each angle of the triangle. The three angles are 9x, 5x, 4x. The sum of these angles need to equal 180 degrees 

x = 10

Three angles are: 90, 50 and 40 degrees

500

Find the perimeter of the equilateral Triangle with the given side lengths 6x and 5x + 22

x = 22

Perimeter of Triangle = 396