Ten multiple-choice questions check your skill with linear functions: finding slope, reading graphs and tables, using the three forms of a line, working with parallel and perpendicular lines, and writing models. Choose the one correct answer, then read the explanation to learn from any mistake.
Algebra 1Common Core: F-IF.C.7a · F-LE.A.1a · F-LE.A.2 · A-CED.A.2
🎯 Linear Functions: Slope-Intercept, Point-Slope and Standard Form – Algebra 1 math quiz
Question 1
What is the slope of the line through \((1,2)\) and \((4,11)\)?
A
\(\frac{1}{3}\)
B
\(3\)
C
\(9\)
D
\(-3\)
Question 2
Which equation describes the line shown?A line through two marked points.
A
\(y=\frac{4}{3}x-2\)
B
\(y=\frac{3}{4}x-2\)
C
\(y=\frac{4}{3}x+2\)
D
\(y=-\frac{4}{3}x-2\)
Question 3
What is the slope of the line \(2x+3y=12\)?
A
\(\frac{2}{3}\)
B
\(-\frac{3}{2}\)
C
\(-2\)
D
\(-\frac{2}{3}\)
Question 4
Which equation is in point-slope form for the line with slope \(-2\) through \((3,5)\)?
A
\(y+5=-2(x+3)\)
B
\(y-3=-2(x-5)\)
C
\(y-5=-2(x-3)\)
D
\(y-5=2(x-3)\)
Question 5
What is the x-intercept of \(5x-4y=20\)?
A
\((0,-5)\)
B
\((5,0)\)
C
\((20,0)\)
D
\((4,0)\)
Question 6
Which line through \((0,1)\) is parallel to \(y=3x-7\)?
A
\(y=-\frac{1}{3}x+1\)
B
\(y=3x+1\)
C
\(y=3x-7\)
D
\(y=\frac{1}{3}x+1\)
Question 7
Line \(p\) has slope 2 and line \(q\) has slope \(-\frac{1}{2}\) (see graph). How are the lines related?Lines \(p\) and \(q\) cross at \((1,1)\).
A
Parallel
B
Neither parallel nor perpendicular
C
Perpendicular
D
The same line
Question 8
The table shows a linear function. Which equation matches it?Values of a linear function.
A
\(y=3x+5\)
B
\(y=6x+5\)
C
\(y=3x+11\)
D
\(y=5x+3\)
Question 9
A taxi charges a $3.00 base fare plus $2.50 per mile. What is the cost of a 14-mile ride?
A
$35.00
B
$38.00
C
$42.50
D
$44.50
Question 10
Which equation is \(y=-\frac{3}{5}x+2\) written in standard form?
A
\(3x+5y=10\)
B
\(3x-5y=10\)
C
\(5x+3y=10\)
D
\(3x+5y=2\)
🎉 Quiz complete!
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Remember:
- Standards F-IF.C.7a, F-LE.A.1a, F-LE.A.2 and A-CED.A.2: graph linear functions, recognize constant rates of change, and write linear models.
- Slope from two points: \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\).
- Slope-intercept \(y=mx+b\), point-slope \(y-y_{1}=m(x-x_{1})\), standard \(Ax+By=C\).
- Parallel lines have equal slopes; perpendicular lines have slopes whose product is \(-1\).
- In a model, the slope is the rate of change and the y-intercept is the starting value.
See every chapter on the Algebra 1 math page.