Unit 4 Exam (System of Equations)

The solution to a set of linear equations is graphed. Which of the following could be the set of equations?

• y = -2x + 4 and y = 2

• y = -2x - 4 and y = 2

• y = -1/2x + 4 and x = 1

• y = -x + 4 and x = 1

What is the solution to this system of equations?

• (0, -2)

• (0, 3)

• (-1, 1)

• (1, -1)

Crazy Cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The next week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?

• wedding = $30

  birthday = $175

• wedding = $40

  birthday = $150

• wedding = $150

  birthday = $40

• wedding = $175

  birthday = $30

What is the solution for the following system:

2y - 4x = 14

-x + y = 5

• (-2, 3)

• (-2, 5)

• No Solution

• Infinite Solution

What is the solution for the following system:

y = -2x + 4

10x + 5y = 20

• (-3, 5)

• (0, -3)

• No Solution

• Infinite Solutions

What is the solution for the following system:

-2x - y = -3

10x + 5y = 20

• (2, 5)

• (0, 3)

• No Solution

• Infinite Solutions

What is the solution for the following system:

3x + y = 14

2x + 3y = 14

• (2, 5)

• (4, 2)

• No Solution

• Infinite Solutions

The 8th Grade class had a bake sale. They sold 55 bars and cookies altogether and made $115. Each bar cost $3 and each cookie cost $1. How many bars and how many cookies did they sell?

• 10 cookies, 30 bars

• 15 cookies, 40 bars

• 20 cookies, 40 bars

• 25 cookies, 30 bars

A-1 Taxi Company charges a flat fee of $10 plus $2 per mile. Yellow Cab Taxi Company charges a flat fee of $5 plus $3 per mile.

Create a system of linear equations to compare the two companies.

• A - 1 y = 2x + 5

  Yellow y = 3x + 5

• A - 1 y = 3x + 5

  Yellow y = 2x + 10

• A - 1 y = 2x + 10

  Yellow y = 3x + 5

• A - 1 y = 10x + 2

  Yellow y = 5x + 3

A-1 Taxi Company charges a flat fee of $10 plus $2 per mile. Yellow Cab Taxi Company charges a flat fee of $5 plus $3 per mile.

If you were traveling 10 miles, which company would be the cheapest?

• A-1 Taxi

• Either one (same price)

• Yellow Cab Taxi

• Red Cab Taxi