Multi-step Equations

Vocabulary

100

Give an example of a variable

Any letter is correct

200

What is the coefficient in 3x?

3

300

Define constant 

A number all by itself in an expression (not being multiplied by anything or affected by a variable)

400

List all the coefficients in this expression: -3x + 4 - 10x + 7 -4x 

-3, -10, and -4 

500

Tell me the three kinds of terms.

Coefficient, Variable, and Constant 

Distributive Property

100

What is the outside term in 3(x -4)?

3

200

Which operation do you perform when using distributive property? 

Multiplication 

300

Distribute: 

-x(3 + 4) 

-3x -4x 

400

What is the coefficient of x before distributing: 3(x -4) 

1 

500

Distribute: 

-2x(4 + 3) -3(x - 5)

-8x -6x -3x +15

Number of Solutions

100

What are the three types of solutions you can get?

No Solution, One Solution, and Infinite Solutions

200

Determine how many solutions this equation has.

6(3-5w) = 5( 4 - 2w) - 20w

No Solution

300

Determine how many solutions the equation has. 

3(2k-5) = 6(k-4)+9

Infinitely many solutions

400

Complete the equation so that is has infinitely many solutions. (What goes in the blanks?)

-15x+ 4x + 2 = ____x   +  ____

First blank: -11; Second blank: 2

500

In order for an equation to have no solution the coefficients have to be the ______ and constants have to be _______. 

same; different

Two-Step Equations

100

Solve:

3x - 4 = 8

x = 4

200

What operation would you use to UNDO 13x ?

division 

300

Solve:

-4y + 10 = 26 

y = -4 

400

Which operation would you do first, when trying to solve this for x?

x + 7 over 5 = 10 

multiplication (to cancel out the 5) 

500

Solve:

2/3x + 4 = 10

x = 9 

Multistep Equations

100

What would you do first to solve this?

3(3x + 4) - 9 = 27

Distribute 

200

Solve: 

3x + 9x - 4x + 9 = 33 

x= 3

300

3n-2 = 4n-6

n = 4

400

What is the goal of solving a multistep equation? 

To isolate the variable 

500

Solve:

3/4x + 3/2x - 4 = 5

x = 4