Algebra 1 Linear Functions Quiz – Free PDF

Contents

This algebra 1 linear functions quiz asks 10 multiple-choice questions on linear functions: slope-intercept, point-slope and standard form, and each answer comes with a short explanation.

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

Score: 0 / 10

Answered: 0 / 10

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 $4$ through $(-2,7)$?

A $y+7=4(x-2)$

B $y-2=4(x+7)$

C $y-7=4(x+2)$

D $y-7=-4(x+2)$

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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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 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.