Systems of Equations Review

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 = 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

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Solve using substitution.

• (5, 4)

• (4, 5)

x + 6y = 1

3x - 2y = 3

• (1, 0)

• (-1, 0)

• (0, 1)

• (0, -1)

• (1, 1)