Unit 4A Review

Frank bought 6 bags of dog food and 7 bags of cat food for $74.50.  Daisy bought 3 bags of dog food and 9 bags of cat food for $67.50.  Write a system of equations that can be used to find d, the price of the dog food, and c, the price of the cat food. 

• 7d + 6c = 74.50

  9d + 3c = 67.50

• 6d + 7c = 67.50

  3d + 9c = 74.50

• 7d + 6c = 67.50

  9d + 3c = 74.50

• 6d + 7c = 74.50

  3d + 9c = 67.50

The tables of ordered pairs represent some points on the graphs of lines h and g.

Write a system of equations in standard form to represent lines h and g.

• 4x - y = -18

  3x + 4y = 16

• 2x - y = -9

  x + 12y = 48

• 12x - y = -18

  3x + 4y = 8

• 2x - y = -9

  x + 12y = 32

A system of equations is graphed on the grid.  Write a system of equations in slope-intercept form to represent the graphs.  

• y = 3x + 5

  y = -x - 3

• y = 3x - 5

  y = -x + 5

• y = -3x + 5

  y = x - 3

• y = -3x - 5

  y = x + 5

Which of the following graphs best represents a system of equations that has no solution?

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 What is the solution to the system of equations?

Select ONE correct answer.

• A

• B

• C

• D

 A company owns two construction companies.  Each company charges a different fee based on the bricks used.  The table shows the number of bricks used and the total cost for two buildings. 

What is the cost for the gray bricks? 

• 2

• 3

• 5

• 9

The length of a rectangular carpet is 8 feet less than twice the width.  The perimeter is 46 feet.  Write a system of equations that could be used to find the length and width.  

• l = 8 - 2w

  2l = 46 - 2w

• w = l - 8

  2l + 2w = 46

• l = 2w - 8

  2l + 2w = 46

• w = 8 - l

  2w = 46 - 2l

 Michael bought 3 tiger fish and 4 goldfish for $40.  At another store Michael spent $6 more for 1 tiger fish and 9 goldfish.  The price of each tiger fish is the same, and the price of each goldfish is the same.

Write a system of equations that models this situation, if Michael bought 

x tiger fish and y goldfish?

• 4y = 3x + 40

  9y = x + 34

• 4y = 3x + 40

  9y = x + 46

• 3x + 4y = 40

  x + 9y = 34

• 3x + 4y = 40

  x + 9y = 46

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