This grade 8 linear functions quiz asks 10 multiple-choice questions on linear functions and modeling, and each answer comes with a short explanation.
Ten multiple-choice questions check rate of change, initial value, writing y = mx + b and reading graphs for standards 8.F.B.4 and 8.F.B.5. Choose one answer for each question, then read the explanation for any miss.
Grade 8Common Core: 8.F.B.4 · 8.F.B.5
🎯 Linear Functions and Modeling – Grade 8 math quiz
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Question 1
What is the rate of change of the line through \((1,2)\) and \((5,10)\)?
A\(\frac{1}{2}\)
B\(2\)
C\(4\)
D\(8\)
Question 2
What is the initial value of the function \(y=7x-3\)?
A\(7\)
B\(-3\)
C\(3\)
D\(\frac{3}{7}\)
Question 3
Which equation matches the line shown?A line through (0,2) and (3,8).
A\(y=2x+2\)
B\(y=3x+2\)
C\(y=2x+3\)
D\(y=\frac{1}{2}x+2\)
Question 4
The table shows a linear function. Which equation matches it?
\(x\)
\(0\)
\(1\)
\(2\)
\(3\)
\(y\)
\(10\)
\(7\)
\(4\)
\(1\)
A\(y=3x+10\)
B\(y=10x-3\)
C\(y=-3x+7\)
D\(y=-3x+10\)
Question 5
A gym charges a $20 sign-up fee plus $15 per month. Which equation gives the total cost \(y\) after \(x\) months?
A\(y=20x+15\)
B\(y=15x+20\)
C\(y=35x\)
D\(y=15x-20\)
Question 6
Which description fits the graph?A graph in three parts.
AIt falls, stays level, then rises.
BIt rises steadily the whole time.
CIt rises, stays level, then falls.
DIt stays level, rises, then falls.
Question 7
Which table shows a linear function? Each list gives \(y\)-values for \(x=1,2,3,4\).
A\(2, 4, 8, 16\)
B\(1, 4, 9, 16\)
C\(3, 5, 9, 15\)
D\(5, 9, 13, 17\)
Question 8
Which statement is true about the graph?A curve that falls and flattens.
ADecreasing and linear
BIncreasing and nonlinear
CIncreasing and linear
DDecreasing and nonlinear
Question 9
A line has rate of change 3 and passes through \((2,5)\). What is its equation?
A\(y=3x-1\)
B\(y=3x+5\)
C\(y=3x+1\)
D\(y=5x+3\)
Question 10
A plant is 4 inches tall and grows 1.5 inches per week. How tall is it after 6 weeks?
A\(9\text{ in}\)
B\(10\text{ in}\)
C\(13\text{ in}\)
D\(5.5\text{ in}\)
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
A linear function has a constant rate of change, so its graph is a straight line.
Rate of change: m = (y2 – y1) / (x2 – x1). Initial value: b is the output when x = 0.
In a story, m is the change per unit (dollars per hour) and b is the starting amount.
A graph can be increasing, decreasing or constant, and linear or nonlinear.
To sketch a graph from a story, steep means fast change and flat means no change.
How to use this grade 8 linear functions quiz
Retake this grade 8 linear functions quiz until every answer is right, then move on to the worksheet and the test.
