Linear Systems and 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

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

Solve this system of equations.

• x=4 y=6

• x=6 y=4

• x=9 y=8

• x=-3 y=-2

Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step Andre make to the equation. The results of Andre’s first step was -x + 6 = -8.

• Subtracted 2x on both sides

• Subtracted 3x on both sides

• Subtract 6 on both sides

• Add 8 on both sides

In slope intercept form (y=mx+b) what is the "m"?

• The y-intercept
• The x-intercept
• The slope (rate of change)
• A point

If Raul weighs 8 lbs less than twice his sister's weight, what is the difference between their weights if Raul weighs 180 lbs?

• 94

• 86

• 180

• 164