Unit 2D Review

Unit 2D Review

Common Assessment TOMORROW!

Multiple Choice

3x + 2y = 30

2x + 1y = 10

What could be the first step in solving the system of equations using elimination?

• Multiply the first equation by 2

• Multiply the second equation by -2

Multiple Choice

What value of x satisfies the system of equations?

x = 7 - 2y

2x + y = 5

• -1

• 4

• 1

• 3

Multiple Choice

One equation in a system of linear equations is given in the graph.

Which of the following equations would have to be the second equation so that the system has no solutions?

• 6y = 4x

• 4y = 6x

Multiple Choice

Which of the following graphs shows the solution to this system of inequalities?

y < -x + 3

y > x - 1

Elliot and Melissa go to the movies. Elliot bought 2 large popcorn buckets and 4 small slushies for $20. Melissa bought 2 large popcorn buckets and 2 small slushies for $14.

Write and solve a system of equations to represent the given scenario. Use the variables “p” for popcorn and “s” for slushies.

Multiple Choice

Elliot and Melissa go to the movies.

Elliot bought 2 large popcorn buckets and 4 small slushies for $20.

Melissa bought 2 large popcorn buckets and 2 small slushies for $14.

What does the solution to the system of equations represent in the context of the problem? Explain.

• The large popcorn cost $4, the small slushy cost $3.

• The large popcorn cost $2, the small slushy cost $4.

• The large popcorn cost $5, the small slushy cost $3

• The large popcorn cost $3, the small slushy cost $2.

Open Ended

Consider the system of equations.

5x + 2y = 12

5x – 2y = 28

What is the solution to the system of equations?

What error did Carolyn make?

Identify her mistake and explain the error.

Open Ended

What is the solution to the system of linear equations? Show your work.

Create a system of equations that represents the graph.

What is the apparent solution to the system of equations in the graph?

Solve the system

of equations

algebraically.

Show your work.

y = -2x + 1

3x - 2y = 5

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month.

Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.

Where would the solutions be?