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grade8_functions_quiz1 draws its questions at random from a bank of 13 questions, with full worked solutions for every one.
A few of the question types, with full solutions, so you know what to expect.
In the relationship \(x \rightarrow \text{rule} \rightarrow y\), what is \(x\) called?
Answer: The input
\(\text{The input is the number you start with.}\)
\(\text{The rule turns the input into the output.}\)
The rule is "add 5". What is the output for input \(x=-2\)?
Answer: 3
\(y=x+5\)
\(y=-2+5=3\)
Use the flow diagram \(x \rightarrow \times 3 \rightarrow +1 \rightarrow y\). What is \(y\) when \(x=4\)?
Answer: 13
\(\text{First multiply by 3: } 4\times3=12\)
\(\text{Then add 1: } 12+1=13\)
Which formula matches the flow diagram \(x \rightarrow \times 6 \rightarrow -4 \rightarrow y\)?
Answer: \(y=6x-4\)
\(\text{Read the operations in order: multiply by 6, then subtract 4.}\)
A table shows \(x\): 1, 2, 3, 4 and \(y\): 5, 8, 11, 14. What is the rule?
Answer: \(y=3x+2\)
\(\text{Outputs increase by 3, so start with } 3x\)
\(\text{Test } x=1\text{: } 3(1)=3\text{, but the output is 5, so add 2.}\)
\(\text{Check: } 3(4)+2=14\)