8th Grade Math: Unit 4

Last updated 9 months ago
14 questions
1

Unit 4 – Item 1
Looking at the graphs below, which graph has a solution of (0,4)?

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Unit 4 – Item 2
Model the following systems of equations:

y = 2x + 4
y = 2x + 1

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Unit 4 – Item 3
A farmer is distributing two types of produce: apples and oranges. Each box of apples is sold for $3, and each box of oranges is sold for $2. On a certain day, the farmer sold a total of 80 boxes of produce and made $190 from these sales.
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Write a system of equations that represents the number of boxes of apples (x) and oranges (y) sold.

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B. Determine the number of apples and oranges sold.

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Unit 4 – Item 4
Write a system of equations for the solution shown below.

Unit 4 - item 5

Avery was selling concessions at the basketball game. She is selling pizza by the slice for $3.50 and sports drinks for $2.00. She sold a total of 96 slices of pizza and sports drinks combined. Avery made a total of $300.
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Define the variables you will use to write the systems of equations

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Write and solve the systems of equations.

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How many slices of pizza and sports drinks did she sell?

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Unit 4 – Item 6
Describe and correct the error in solving the system of linear equations.
4x + y = 10
5x – 3y = 6

Step 1:
4x + y = 10
y = -4x + 10

Step 2:
4x + (-4x + 10) = 10
10 = 10

Unit 4 – Item 7
Use the two flyers to answer the following questions:

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Compare the slopes in each flyer. What does the slope mean in context?

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Compare the y-intercept in each flyer. What does the y-intercept mean in context?

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How long can someone skate at both places and the price is the same?

Unit 4 – Item 8
The farmers market sells strawberries and pineapples in a fruit basket. Create and solve the systems of equations from the table.

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Write a system of equations that represent the cost of each fruit basket.

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What is the cost of each fruit?