Systems of Equations Review

Find the solution for the following system of equations:

4x - y = - 22 and 4x - 8y = - 36

• Infinite number of solutions

• (2, 5)

• (5, -2)

• (- 5, 2)

How many solutions does the system of equations from the graph have?

• one solution

• two solutions

• infinite solutions

• no solutions

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Which graph is showing the following system of equations?

y = -5/3x - 2 and y = 1/3x + 4

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Which graph is showing the following system of equations?

y = 1/4x - 4 and y = -1/2x - 1

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Jack and Matt are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Jack sold 7 small boxes of oranges and 8 large boxes of oranges for a total of $222. Matt sold 7 small boxes of oranges and 2 large boxes of oranges for a total of $108. What is the cost each of one small box of oranges and one large box of oranges?

• small box of oranges: $10, large box of oranges: $19

• small box of oranges: $16, large box of oranges: $17

• small box of oranges: $8, large box of oranges: $20

• small box of oranges: $6, large box of oranges: $16

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions