A1. Ch 5 Test Prep

Which of the following describes the solution to the system of equations?

• Two lines that never meet

• Two lines that intersect at (1,3)

• Two lines that intersect at (2,2)

• Two lines that intersect at (-2,-2)

Which of the following describes the nature of solutions for a system of linear equations when graphed?

• Infinitely many solutions - when the lines are parallel

• No Solution - when the lines coincide

• One Solution - when the lines meet (intersect) at a single point

• Infinitely many solutions - when the lines are perpendicular

• Graph A

• Graph B

• Graph C

• Graph D

What is one point that lies in the solution set of the system of inequalities graphed below?

• (1,1)

• (2,-2)

• (1,8)

• (4,2)

• a.

• b.

• c.

• d.

• a.

• b.

• c.

• d.

• (3, -1)
• (2, -2)
• (1, -3)
• (4, 0)

Solve the system by elimination: 7x - 14y = -21 and -4x + 7y = 6 What is the solution to the system?

• (2, -1)
• (0, 0)
• (5, 3)
• (9, 6)

You purchase 6 balloons (x) and 2 banners (y) for $20. Your friend buys 5 balloons (x) and 1 banner (y) for $14. What is the cost of each balloon and each banner?

• Balloon: $2, Banner: $4

• Balloon: $1, Banner: $3

• Balloon: $3, Banner: $2

• Balloon: $2.50, Banner: $2

Find the number of solutions for the following system of equations.

2x - 3y = 5

4x - 6y = 10

• The system has no solution.

• The system has one solution.

• The system has infinitely many solutions.