Algebra 1Unit 6 Review

1. For each system, choose the best description of its solution. If the system has exactly one solution, give its solution.

System A: What is the solution of the system?

• The system has no solution.

• The system has infinitely many solutions.

• The system has exactly one solution: (x, y) = (2, 3).

• The system has exactly one solution: (x, y) = (0, 0).

For each system, choose the best description of its solution. If the system has exactly one solution, give its solution. System B: What condition makes the system have no solution?

• The lines are parallel and have different y-intercepts. (No Solution)

• The lines intersect at exactly one point.

• The lines are the same (coincident).

• The lines are perpendicular.

Consider the following system: y = 2x - 5 and 6x - 3y = 15

• The system has one solution

• The system has infinitely many solutions

• The system has no solution

Solve the system of equations y = 14 - 2x and y = 5x, Input your answer in this form

x = ___ y = ___

A fruit company packages its fruit into two types of boxes: large and small. This morning, the company made two deliveries. The table below shows the number of boxes in each delivery and the total weight (in kilograms).

Let x be the weight (in kilograms) of each large box.
Let y be the weight (in kilograms) of each small box.

Which of the following systems of equations could be used to find the weight (in kilograms) of each type of box?

• 8x + 3y = 142
  2x + 5y = 61

• 8x + 2y = 142
  3x + 5y = 61

• 3x + 8y = 142
  5x + 2y = 61

• 8x + 5y = 142
  2x + 3y = 61

Angel rents movies and video games each month. Last month she rented 6 movies and 5 video games for $38.This month she rented 2 movies and 3 video games for $20. What is the rental cost for each video game? What is the rental cost for each movie?

• Cost of each movie: $3.00, Cost of each video game: $6.00
• Cost of each movie: $1.50, Cost of each video game: $4.50
• Cost of each movie: $2.00, Cost of each video game: $4.00
• Cost of each movie: $1.75, Cost of each video game: $5.50

Solve the following system of equations: y = x + 49 and 9x - y = -17

• (3, 52)
• (5, 54)
• (0, 49)
• (4, 53)

Solve the following system of equations: y = 7x - 21 and y = x + 15

If Maria drives the rental car 75 miles, which option costs more?

• A

• B

• C

• D

If Maria drives the rental car 75 miles, what is the difference in the prices?

 

• $25

• $50

• $40

• $15