Unit 5 Test Study Guide (Systems and Linear Inequalities)

Find the solution to the system of equations below:

x – y = 8

x + y = 24

• (16, 8)

• (8, 16)

• (32, 8)

• (8, 32)

What is the solution to the system of equations?

y = -3x + 4

y = 3x – 2

• No Solution

• (1, 1)

• (-1, -5)

• (1, 5)

Determine the solution to the system of equations given.

7x + 3y = 92

2x + y = 27

• x = -11, y = 49

• x = 5, y = 11

• x = 11, y = 5

• x = 65, y = -103

Find the solution to the system of equations below:

x = 73 – 3y

2x + 2y = 70

• (-16, -30)

• (16, 51)

• (19, 16)

• (16, 19)

What is the solution to the system of equations?

2x + 18y = 22

-x – 9y = -11

• No solution

• Infinitely many solutions

• (0, 0)

• (0, 11)

Determine the solution to the system of equations given.

y = -2x + 4

y = -2x – 4

• No solution

• Infinitely many solutions

• (0, 0)

• (-4, 4)

A farmhouse shelters 26 animals. Some are horses and some are chickens. Altogether, there are 84 legs. How many chickens are there?

• 16 chickens

• 10 chickens

• 13 chickens

• 12 chickens

The graph of a system of two equations is shown below. What appears to be the solution to the system?

• (3, 2)

• (-2, 3)

• (3, -2)

• (2, -3)

A youth group and their leaders visited Mammoth Cave. Two adults and five students in one van paid $80 for the Grand Ave Tour of the Cave. Two adults and seven students in a second van paid $100 for the same tour. Find the adult price and the student price of the tour.

• $16 for adults; $9 for students

• $10 for adults; $15 for students

• $15 for adults; $10 for students

• $9 for adults; $16 for students

Select all of the solution points for the system of inequalities.
 $x+y\le-2$  
 $5x+y\ge2$  

• (0, 0)

• (2, -4)

• (3, -7)

• (-1,1)

• (0, -5)