8th Grade Linear Functions as Models Quiz: 10 Questions with Explanations

8th Grade math quiz: Linear Functions as Models – Maths PDFCover of the book Grade 8 Math Tests with Answer Keys (PDF)Download as a PDFThe Grade 8 tests book with answer keysPrintable PDFSee the book ›


This linear function models quiz for 8th Grade covers linear functions as models (Common Core 8.F.B.4, 8.F.B.5), with a free PDF to print.

Pick the best answer for each of the 10 questions about linear functions as models, rate of change, initial value and graph descriptions (Common Core 8.F.B.4 and 8.F.B.5). Read each question carefully, then read the explanation to learn from any mistake.

Grade 8 · Common Core State Standards: 8.F.B.4, 8.F.B.5

Linear function models quiz: 10 questions

Question 1
In \(y = 7x + 3\), what is the initial value?

Question 2
What is the rate of change in \(y = 7x + 3\)?

Question 3
A line passes through \((0, 5)\) and \((2, 11)\). What is its equation?

Question 4
246810124812162024minutesliters
Water left in a bucket.

What does the slope of the line mean?

Question 5
A tank has 50 gallons and loses 2 gallons per minute. Which function models it?

Question 6
1234562468hoursmiles
A trip.

What happens between hour 2 and hour 4?

Question 7
A table has the points (1, 7), (3, 13), (5, 19). What is the rate of change?

Question 8
Which graph is nonlinear?

Question 9
123456789101112102030405060CF(0, 32)(10, 50)
Fahrenheit against Celsius.

What is the rate of change shown?

Question 10
A line has equation \(y = -3x + 12\). Where does it cross the x-axis?

Remember

Remember
  • Rate of change \(m = \frac{\text{change in } y}{\text{change in } x}\); initial value \(b\) is \(y\) when \(x = 0\).
  • Build a model: find \(m\), solve for \(b\) with one point, write \(y = mx + b\).
  • A negative rate means the quantity decreases.
  • A flat segment has rate 0; a curve means the rate is not constant.
  • Always say what \(m\) and \(b\) mean in the situation, with units.

How to use this linear function models quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the linear function models quiz as a PDF with the button below and keep it with your notes.

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8th Grade Linear Functions as Models Quiz: 10 Questions with Explanations

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