Multi-Step Equations

Solve the 1 step equation (Divide)

Distribute (Multiply through parenethesis)

Three Steps to Solve Equations

Sort and Combine Like Terms (Don't forget the sign.

Math Response

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

Type answer here

Correct Answer: -5

Deg^°

Rad

Multiple Choice

13.  Which is the correct solution to the equation below?

0.4 (5x - 12) + 0.5x = 15.2

• A. x = 8

• B. x = -8

• C. x = 17.5

• D.  x = 4.16

Math Response

14.   Solve the equation below

−6(k − 3) = −27 + 3k

Type answer here

Correct Answer: 5

Deg^°

Rad

Multiple Choice

7.  Austin solved the equation as shown below.  Which correctly describes the error that Austin made in his work?

• Austin did not combine 7x and 8x correctly

• 1. Austin did not combine -3 and -9 correctly

• 1. Austin did not divided correctly

• 1. Austin did not make an error in his work

Multiple Choice

9.  Which of the following shows the equation after both sides have been distributed correctly?

-4(x -2) = 5(3x -8)

•  -4x - 8 = 15x - 40

• -4x - 6 = 15x -3

• -4x + 8 = 15x -40

• -4x + 8 = 15x + 40

​Perimeter is adding all sides






Area is multiplying sides

Math Response

The perimeter of the rectangle below is 42 inches.  Find the value of x.

Type answer here

Correct Answer: 4

Deg^°

Rad

Open Ended

12.  The area of the rectangle shown is 136 square inches.

Write and solve an equation to find the value of x.

Different Coefficient

Constant doesn't matter

Same Coefficient

Different Constant

will result in numbers that will never equal each other.

example 3 = 17 is never true

Same Coefficient

Same Constant

Will result in a number that is always equal

example 4 = 4 is always true

Multiple Choice

15.  Which of the following equations would have no solution?

• 1.  10x + 3 = 3x + 10

• 1. -8 + 16x = 16x - 8

• 1. 4(2x - 3) = 8x -12

• 1. 3(-2x + 4) = -6x -12

Fill in the Blanks

16.  What number could be put into the blank to create an equation with no solution?

x - 14 = 4x + 11

Multiple Choice

17.  When solving an equation, Henry gets to the last line of his work and is left with “0=0”.  What does this mean?

1.  

• 1. The solution is 0

• 1. There is only one solution

• 2. There is no solution

• 1. There are infinite solutions