Solving Systems of Equation Quiz

Connections Academy 8th Grade
Please only use this to check your answers.

1. You buy 3 pounds of organic apples for $7.50. The graph shows the price for regular apples.
What is the unit rate for each type of apple?

A. organic $2.50/pound; regular $3.00/pound
B. organic $0.40/pound; regular $0.50/pound
C. organic $2.50/pound; regular $2.00/pound***
D. none of the above

2. The price for pears is y= 2.75x. Which line would have the steepest slope if organic apples and pears were added to the graph?

A. organic apples
B. pears***
C. regular apples
D. We need more information to answer this question.

3. What is the rule for the function shown in the table?
x|-1|0|1|2
y|-2|1|4|7

A. y= 1/3x + 1
B. y= 3x + 1***
C. y= 1/3x
D. y= 1/2x + 1

4. What is the function rule for the following situation? Rex paid $20 for a membership to the pool and pays $3.00 each time he goes to the pool.

A. y= 20x + 3
B. 20= 3x + y
C. y= x + 20
D. none of these***

5. Find the solution to the system of equations by using either graphing or substitution.
y= 6 - x and y= x - 2

A. (2,4)
B. (-4,2)
C. (4,2)***
D. no solutions

6. y= 2x - 1 and y= x + 3

A. (4,7)***
B. (7,4)
C. (-7,-4)
D. infinite solutions

7. y= 4x and y + x =5

A. (-4,1)
B. (1,4)***
C. (-3,2)
D. (2,3)

8. What will the graph look like for a system of equations that has no solution?

A. The lines will be perpendicular.
B. The lines will cross at one point.
C. Both equations will form the same line.
D. The lines will be parallel.***

9. Which method is best to use when solving a system of equations with fractions?

A. Graphing
B. Substitution
C. Elimination***
D. It doesn't matter which method is used.

10. What is the solution to the system of equations represented by the following graph?
y= 2x - 1 and y= -x + 6

A. (7,1)
B. (1,7)
C. (-1,3)
D. (3,-1)***