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Common Core Standard 8.F.B.4 Questions

Construct a function to model a linear relationship between two quantities. Determine the rate of change  and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

You can create printable tests and worksheets from these questions on Common Core standard 8.F.B.4! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Grade 8 Linear Equations CCSS: 8.F.B.4
Which scenario could describe this graph?
Graph - Linear Function y=x
  1. One car travels twice as fast as another car
  2. A person makes $10 per hour
  3. A factory produces 1 car per day
  4. A garden grows 130 potatoes per row
Grade 8 Functions and Relations CCSS: 8.F.A.2, 8.F.B.4
Fill in the table with the following values:

[math]{(1, 5), (2, 8), (3, 11), (4, 14), (5, 17)}[/math]

Which algebraic equation gives the correct rule for the table?
Function Table - 5 Rows
  1. [math]y = x + 2[/math]
  2. [math]y = 2x + 1[/math]
  3. [math]y = 2x + 3[/math]
  4. [math]y = 3x + 2[/math]
Grade 8 Functions and Relations CCSS: 8.F.A.2, 8.F.B.4
Fill in the table with the following values:

[math]{(-4, -2), (-2, -1), (2, 1), (4, 2)}[/math]

Which algebraic equation gives the correct rule for the table?
Function Table - 4 Rows
  1. [math]y = 2x[/math]
  2. [math]y = 4x[/math]
  3. [math]y = 1/2x[/math]
  4. [math]y = 1/4x[/math]
Grade 8 Functions and Relations CCSS: 8.F.A.2, 8.F.B.4
Fill in the table with the following values:

[math]{(0, 5),(1, 4), (2, 3), (3, 2)}[/math]

Which algebraic equation gives the correct rule for the table?
Function Table - 4 Rows
  1. [math]y = x - 5[/math]
  2. [math]y = 5 - x[/math]
  3. [math]y = x + 5[/math]
  4. [math]y = 5x[/math]
Grade 8 Functions and Relations CCSS: 8.F.A.2, 8.F.B.4
Fill in the table with the following values:

[math]{(-2, 14), (-1, 7), (0, 0),(1, -7), (2, -14)}[/math]

Which algebraic equation gives the correct rule for the table?
Function Table - 5 Rows
  1. [math]y = -7x[/math]
  2. [math]y = 7x[/math]
  3. [math]y = x + 7[/math]
  4. [math]y = x - 7[/math]

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