Linear Functions Test – Algebra 1 Math (Printable PDF)

Question 1 Slope (2 points)

Find the slope of the line through (−3, 7) and (5, −1).

Question 2 Line through two points (2 points)

Write the equation of the line through (4, 3) and (8, 9) in slope-intercept form.

Question 3 Rewrite in slope-intercept form (2 points)

Rewrite 5x − 2y = 14 in slope-intercept form and state the slope and y-intercept.

Question 4 Equation from a graph (2 points)

The graph shows a line passing through two labeled points. Find its slope, then write its equation in slope-intercept form.

Question 5 Parallel line (2 points)

Write the equation of the line through (−2, 6) that is parallel to y = −3x + 4.

Question 6 Perpendicular line (2 points)

Write the equation of the line through (10, −3) that is perpendicular to y = 25x − 1.

Question 7 Kayak rental model (3 points)

A kayak shop charges $39 for 2 hours and $75 for 5 hours, at a constant hourly rate plus a flat fee. (a) Find the cost per hour. (1 point) (b) Write the cost C for h hours. (1 point) (c) Interpret the y-intercept. (1 point)

Question 8 Booth sales (3 points)

A booth sells small bags for $3 and large bags for $5 and takes in $60. Let s be small bags and l be large bags, as in the graph.

(a) Write an equation in standard form and give both intercepts. (1 point) (b) Interpret the l-intercept. (1 point) (c) How many small bags go with 6 large bags? (1 point)

Question 9 Compare two lines (2 points)

Line A is y = −2x + 9. Line B passes through (1, 3) and (4, 12). (a) Find the slope of line B. (1 point) (b) Which line is increasing, and which is steeper? (1 point)