Systems of Equations and Inequalities Unit Test

Coach Proctor's boat burns 5 gallons of gas an hour. Write an equation to represent the gallons of gas used (y) for the amount of hours (x).

• y = x/5

• 5y + x = 10

• x + y = 10

• y = 5x

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

What does 'b" represent in y=mx=b

• y-intercept
• macaroni
• nothing
• slope

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

• y = 4x - 13

• y = 4x + 13

• y = 4x - 3

• y = 4x + 3

Write the equation of the line in slope-intercept form through the points (-6, -19) and (2, 5).

• y = -7/2x + 12

• y = 3x + 11

• y = -7/2x - 40

• y = 3x - 1

A system has ____________ when two lines intersect at one point. 

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations are exactly the same and overlap each other.

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution
• No solution
• Infinitely Many Solution

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

• (-5,1)
• (5,-1)
• (1,4)
• (-1,4)