Solving Multi-Step Equations

Solving Multi-Step Problems using the Distributive Property

100

7(x-2) = 6x

x= 14

200

-(a - 12) + 4a = 9a

a= 2

300

3(x+1) = x +5

x = 1

400

4(2a + 3) = -3(a -1) +31

a = 2

Solving Multi-Step problems with variables on both sides

100

2x+5 = 3x

x = 5

200

5x + 2 = 3x - 8

x = -5

300

12x+ 8= 3x +62

x = 6

400

16-4x = 7x + 5

x =1

Writing and solving Translations

100

Three less than six times a number is 21. What is the number? You must have the correct equations and answer!

Equation (6n - 3)= 21

n = 4

200

Subtract a number divided by nine from three and the difference is zero. You must have the correct equations and answer!

Equation: (3- (n/9) ) = 0

n = 27

300

A number divided by -5 is 7. You must have the correct equations and answer!

Equation: (x/-5) = 7

n = -35

400

A number multiplied by 6 is equal to -54. You must have the correct equations and answer!

Equation: 6x = -54

x= -9

Types of Solutions

100

Name the three different types of solutions for equations 

One Solution, No Solution, Infinite Solutions 

200

If after solving the equation, you arrive at 5= -5, what is the type of solution? 

No Solution 

300

If you arrive at the step 6=6 when solving an equation, what would be the solution?

Infinite Solution 

400

If you arrive at 6x+2 = 6x+2 when solving the equation, what type of solution can you predict this is? 

Infinite Solution