Test Review of Solving Systems

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• Cannot be determined.

Solve the system.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

• (3, 3)

• (1, 5)

• (1, 3)

• (7, -1)

What is the value of z in the solution of the system?

Mathematical Equivalence

ON

Solve the following system.

-12x-10y= 0

6x+5y= -1

• infinite solutions

• (0,0)

• no solution

• (2,1)

Ride and Transport are two new ride sharing companies in Colorado. Ride is charging $2 for pick up fees and then $2.50 per mile. Transport is charging only $2.70 per mile. How many miles will it take for both companies to charge the same amount? Write a system of equations to solve.

• 27 miles

• 10 miles

• 270 miles

• 100 miles

Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.

• Chairs $2 Tables $5

• Chairs $50 Tables $20

• Chairs $10 Tables $15

• Chairs $20 Tables $50

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution