Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

34 = -2 + 9x + 16 + x

x=2

300

3a + 12 - 6a = -9

a = 7

400

x/3 -18 =2

x =60

500

-3 + 7x - 9 + 8x = 48

x = 4

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

2(3x-6)-x=28

x=8

300

-8x - 3(2x + 1) = 67

x = -5

400

-4(x-2) = 5(3x-6)

x = 2

500

0.1(x + 50) = -3x -13 + 4x

x = 20

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. -6a + 9a + 4 - 2

3a + 2

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. -x + 4 +5x -x - 6

3x - 2

number of solutions

100

10x + 3 = 3 + 10x

all real numbers

200

8 + 3x = -8 + x

One

300

3(-2x + 4) = -6x -12

no solution

400

4(2x - 3) = -12 + 8x

All real numbers

500

7k - 8 = 52 -2(k + 12)

One

Word Problems

100

WRITE AN EXPRESSION & SIMPLIFY the perimeter of a square that has a side length of 2x + 4.

4(2x+4)

8x + 16

200

If a rectangle has an area of 88 square inches and has a length and width of 8 and 1/2x + 5 what would the simplified equation look like to find the value of x?

4x + 40 = 88

300

If a rectangle has a perimeter of 42 and side lengths of 5x and x-3 what would the value of x be?

x= 4

400

A local game company charges $4.00 per game or an annual membership for $54 and game rentals for $2.00 per game. Write and solve the equation that shows the number of games it would take for both options to be equal.

4x = 54 + 2x

x = 27

500

Write an equation and solve. 11 less than three times a number is the same as 75 less than the product of -1 and the number. 

3x -11 = -1x -75

x=-16