Algebra 1 Linear Functions Test – Free PDF

Contents

This algebra 1 linear functions test checks linear functions: slope-intercept, point-slope and standard form in 45 minutes, with 9 questions for a total of 20 points.

This test covers slope, the three forms of a linear equation, graphing, parallel and perpendicular lines, and linear models. It has nine questions worth 20 points in total. Show your work, write answers in simplest form, and use a straightedge for graphs. A calculator is not needed.

Test information

Grade: Algebra 1
Chapter: Linear Functions: Slope-Intercept, Point-Slope and Standard Form
Common Core: F-IF.C.7a, F-LE.A.1a, F-LE.A.2, A-CED.A.2
Time: 45 minutes
Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 2 pts; Question 8: 3 pts; Question 9: 3 pts)

Algebra 1 Linear Functions Test: questions 1–5

Question 1: Slope and direction (2 points)

Find the slope of the line through $(-5,4)$ and $(3,-2)$. (1 point)
Does the line rise or fall from left to right? Explain. (1 point)

Question 2: Standard form to slope-intercept (2 points)

Rewrite $5x-2y=10$ in slope-intercept form.

Write the equation. (1 point)
State the slope and the y-intercept. (1 point)

Question 3: Slope and a point (2 points)

A line has slope $-\frac{1}{2}$ and passes through $(-2,3)$.

Write an equation of the line in point-slope form. (1 point)
Write the equation in slope-intercept form. (1 point)

Question 4: Equation from a graph (2 points)

Write the equation of the line shown in slope-intercept form.

A line through two marked points.

Question 5: Graph from standard form (2 points)

Graph $3x+2y=12$ on the grid.

Blank grid.

Algebra 1 Linear Functions Test: questions 6–9

Question 6: Parallel and perpendicular (2 points)

Line $L$ has equation $y=-\frac{3}{4}x+2$.

Write the equation of the line through $(8,1)$ that is parallel to $L$. (1 point)
Find the slope of any line perpendicular to $L$. (1 point)

Question 7: Classify pairs of lines (2 points)

Decide whether each pair of lines is parallel, perpendicular, or neither. Justify with slopes.

$y=2x+5$ and $4x-2y=6$ (1 point)
$3x+4y=8$ and $4x-3y=9$ (1 point)

Question 8: Bakery order (3 points)

Mei’s bakery charges a delivery fee plus a fixed price per box of muffins. An order of 4 boxes costs $38 and an order of 10 boxes costs $86. Let $C$ be the cost in dollars for $b$ boxes.