Understanding and generating non-linear equations in two or more variables

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be used the find the price of a tigerfish (t) and the price of a goldfish (g).

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A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

• g = 2d - 8

  g + d = 46

• g = 8 - 2d

  g = 46 - d

• d = 2g - 8

  d = 46 - g

• d = 8 - 2g

  d + g = 46

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CCSS.HSA.CED.A.3

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

• L + W = 18
  W = L - 5
• 2L + 2W = 18
  L = W - 5
• 2L + 2W = 18
  W = L - 5
• 2L + 2W = 18
  W = 5 - L

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Eulah wants to buy materials for her Math project. If she buys an illustration board and a marker, she needs to pay P 22.00. But if she buys 2 illustration boards and a marker she will pay P 37.00. What is the system of the linear equations in the problem?

• a.

• b.

• c.

• d.

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Matthew, Hazel and Brock are going bowling. They rented 3 pairs of shoes (x) and paid for 2 games of bowling (y). They spent 24.50 total, write and equation to represent this equation.

• 2x+24.50y=3

• 2x+3y=24.50

• 3x+24.50y=2

• 3x+2y=24.50

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Richard ordered 3 burgers and 2 orders of fries for himself and his friends. His order cost $12.75. Which equation represents the given situation?

• 3x + 12.75y = 2

• 3x + 2 = 12.75y

• 3x + 2y = 12.75

• 3x - 2y = 12.75

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Choose an equation for the coordinates x and y: (3,5).

• x + y = 0

• xy = 15

• x/y = 0.6

• 3x = 5y

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Two variable equations are:

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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

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CCSS.HSA.CED.A.3

12) The school store sells t-shirts and sweatshirts each Friday.

Sales totaled $565.00 last Friday.

Let t represent t-shirts, which sold for $10 each.

Let w represent sweatshirts, which sold for $25 each.

Which equation using t and w represents the total sales for last Friday?

• 10w + 25t = 565

• 10t + 25w = 565

• t + w = 565

• 565t + 10w = 25

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