Unit 4 Summative Review

1. Write the solution to the system as an ordered pair (x, y).

• (6, 5)

• (4, 5)

• (6, 7)

• (8, 9)

What is the solution to the system of equations: 3x + y = 8 and 3x - y = 10?

• (3, -1)

• (2, 2)

• (4, 0)

• (5, -1)

How many solutions does the system of equations have?

y = 2x - 3

y = -x + 3

• One solution

• Two solutions

• No solution

• Infinite solutions

What is the solution to the system of equations: 2x + 3y = 11 and -2x + y = 9?

• (-2, 5)

• (3, 2)

• (1, 5)

• (5, 1)

5. How many solutions does the systems of equations have?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

6. How many solutions does the systems of equations have?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

A high school went on a field trip and took 8 vehicles, buses and vans. Buses hold 40 students and vans hold 12. They took 180 students total. Write a system of equations that represents this word problem.

• Let b be the number of buses and v be the number of vans. The system of equations is: b + v = 8 and 40b + 12v = 180.

• Let x be the number of buses and y be the number of vans. The system of equations is: x + y = 8 and 40x + 12y = 180.

• Let m be the number of buses and n be the number of vans. The system of equations is: m + n = 8 and 40m + 12n = 180.

• Let p be the number of buses and q be the number of vans. The system of equations is: p + q = 8 and 40p + 12q = 180.

How many solutions does this system have?

8x - 3y = -12

x - 3y = 9

• No solution

• One solution

• Two solutions

• Infinitely many solutions

Write the following equation in slope-intercept form: 7x - y = -1

• y = 7x + 1

• y = 7x - 1

• y = -7x + 1

• y = -7x - 1

How many solutions does a system of equations have if the two equations have the same slope but different y-intercepts?

• No solution

• One solution

• Infinite solutions

• Cannot be determined