This grade 8 functions quiz asks 10 multiple-choice questions on introduction to functions, and each answer comes with a short explanation.
Ten multiple-choice questions check your understanding of functions: one output per input, tables and mappings, evaluating rules, linear versus nonlinear functions and comparing functions. Choose the one correct answer, then read the explanation to learn from any mistake.
Grade 8Common Core: 8.F.A.1 · 8.F.A.2 · 8.F.A.3
🎯 Introduction to Functions – Grade 8 math quiz
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Question 1
Which set of ordered pairs is a function?
A\((1,3),(2,5),(3,3)\)
B\((1,2),(1,3),(2,4)\)
C\((0,1),(2,4),(0,5)\)
D\((4,1),(4,2),(4,3)\)
Question 2
Why is this mapping not a function?A mapping with inputs 1, 2, 3.
AThe input 2 has two outputs
BThe output 7 is used only once
CThe input 1 has an output
DThere are more outputs than inputs
Question 3
If \(f(x)=2x-5\), what is \(f(4)\)?
A\(-2\)
B\(13\)
C\(-1\)
D\(3\)
Question 4
Which equation represents a nonlinear function?
A\(y=5x\)
B\(y=x^{2}\)
C\(y=x+9\)
D\(y=\frac{x}{3}-4\)
Question 5
Which equation matches the table?A linear function.
A\(y=4x+1\)
B\(y=3x\)
C\(y=x+2\)
D\(y=4x-1\)
Question 6
Function A is \(y=3x+1\). Function B has the points \((0,1),(2,9),(4,17)\). Which statement is true?
AA has the greater rate of change, 3 versus 1
BB has the greater rate of change, 4 versus 3
CA and B have the same rate of change
DA has the greater initial value
Question 7
Which equation describes the line through the points on the graph?A line through three marked points.
A\(y=2x+3\)
B\(y=3x-2\)
C\(y=5x\)
D\(y=3x+2\)
Question 8
The area of a square is \(A=s^{2}\). What is the area when \(s=7\) inches?Some values of \(A=s^{2}\).
A\(49\) square inches
B\(14\) square inches
C\(28\) square inches
D\(343\) square inches
Question 9
Which list of points shows a linear function?
A\((0,1),(1,2),(2,5),(3,10)\)
B\((0,0),(1,1),(2,4),(3,9)\)
C\((0,4),(1,7),(2,10),(3,13)\)
D\((1,2),(2,4),(3,8),(4,16)\)
Question 10
For \(y=-2x+9\), what are the rate of change and the initial value?
ARate of change 9, initial value \(-2\)
BRate of change 2, initial value 9
CRate of change \(-2\), initial value 9
DRate of change \(-9\), initial value 2
🎉 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:
Standards 8.F.A.1, 8.F.A.2 and 8.F.A.3: define, compare and classify functions.
A relation is a function when every input has exactly one output.
Different inputs may share an output, but one input may never have two outputs.
A linear function \(y=mx+b\) has rate of change \(m\) and initial value \(b\).
The area of a square, \(A=s^{2}\), is a nonlinear function.
How to use this grade 8 functions quiz
Retake this grade 8 functions quiz until every answer is right, then move on to the worksheet and the test.
