Introduction to Functions: Grade 8 Math Quiz – PDF Download
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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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.
