Unit 4: Linear Equations and Linear Systems Test Review

A set of two or more equations. Each equation contains two or more variables. We want to find values for the variables that make all the equations true. What is the vocabulary word to go with this definition?

• Linear Relationships

• Linear Equations

• Solutions to Equations

• Systems of Equations

An equation with two variables is any pair (x,y) that can be used in place of the variables to make the equation true. What is the vocab word for this definition?

• Linear Equations

• Linear Relationships

• Solutions to Equations

• System of Equations

Here is a balanced hanger diagram. A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle?

• 9/5

• 3

• 11

• 7/5

True or false: The points (6,13) , (21,33), and (99, 137) all lie on the same line. The equation of the line is y=4/3x+5

• True

• False

Starting with the equation x=1. Add 5 on both sides. What is your new equation?

• x=6

• x+5=6

• x+5

• -x=5

Clare asks Andre to play the following number puzzle: Pick a number, Add 2, Multiply by 3, Subtract 7, Add your original number. Andre’s final result is 27. Which number did he start with?

• 7

• 17

• 20

• 25

Solve the equation : 2(x+5) = 3x+1

• -9

• 5

• 9

• -5

Write the other side of this equation so it's true for ALL values (Many Solutions) of x: 2x-5 = ___________.

• 2x+5

• 2x-5

• 3x+10

You have the equations, 3x- 2 and 3x+2. Determine if these two equations have many solutions, no solutions or one solution.

• Many solutions

• One solution

• No solutions

By looking at the graph of these two lines, do they have one solution, no solutions, or many solutions?

• One solution

• No solutions

• Many solutions