Answer these 10 multiple-choice questions on writing functions from situations, combining functions, inverses of linear functions and constant rates of change. Each question has exactly one correct answer. Check your choice by substituting values.
The diagram shows the steps of a function. Which expression matches it?
Revenue is \(R(x)=9x\) and cost is \(C(x)=4x+75\). Which expression is the profit \(P(x)\)?
For \(R(x)=9x\) and \(C(x)=4x+75\), how many units give break-even?
Let \(f(x)=7x+2\) and \(g(x)=3x-5\). What is \((f-g)(x)\)?
Let \(f(x)=4x+9\). Solve \(f(x)=33\).
Let \(f(x)=3x-12\). Which expression gives \(x\) in terms of \(y\)?
Which statement is true for the table?
A sequence has \(a(0)=20\) and \(a(n)=a(n-1)+7\). Which explicit rule matches it?
The point \((2,7)\) is on the graph of \(f\). Which point is on the graph of its inverse?
A skate park charges $5 to enter plus $3 per hour, so \(T(h)=3h+5\). Aisha paid $23. How many hours did she skate?
🎉 Quiz complete!
Remember:
- Standards F-BF.A.1a, F-BF.A.1b, F-BF.B.4a and F-LE.A.1b: write functions from contexts, combine them, find simple inverses and spot constant rates.
- Explicit \(f(h)=8h+12\) and recursive \(f(0)=12,\ f(h)=f(h-1)+8\) describe the same situation.
- Profit equals revenue minus cost: \(P(x)=R(x)-C(x)\); break-even is where \(P(x)=0\).
- To invert \(y=2x+3\), solve for \(x\): \(x=\frac{y-3}{2}\).
- A constant rate of change means equal input steps give equal output changes.
See every chapter on the Algebra 1 math page.