Algebra 1 Graphing Linear Equations Test with Point Values (PDF)

Algebra 1 math test: Graphing Linear Equations – Maths PDF

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This graphing linear test for Algebra 1 covers graphing linear equations (Common Core A-REI.D.10, F-IF.C.7a, A-CED.A.2), with a free PDF to print.

This 45-minute test on graphing linear equations covers Common Core A-REI.D.10, F-IF.C.7a, and A-CED.A.2 and is worth 20 points. Work alone, show all steps, and use a calculator only if your teacher allows it. Partial credit is given for correct work, so write down your reasoning even when you are unsure of the final answer.

Time and points

About this test

Grade: Algebra 1
Chapter: Graphing Linear Equations
Standards: A-REI.D.10, F-IF.C.7a, A-CED.A.2
Time: 45 minutes
Total: 20 points

Graphing linear test: questions

Question 1 – Slope and intercept [2 pts]

Identify the slope and y-intercept.

\(y = -4x + 7\) (1 point)
\(y = \frac{3}{5}x – 2\) (1 point)

Question 2 – Graph a line [2 pts]

Grid for question 2.

Graph \(y = \frac{3}{4}x – 1\) on the grid.

Question 3 – Find intercepts [2 pts]

Find the x-intercept and the y-intercept of \(5x – 2y = 20\).

Question 4 – Rewrite an equation [2 pts]

Write \(4x + 2y = 10\) in slope-intercept form.

Question 5 – Point-slope form [2 pts]

A line has slope \(-3\) and passes through \((2, 5)\). Write its equation in point-slope form and in slope-intercept form.

Question 6 – Equation from a graph [2 pts]

Water level of a tank.

The graph shows the water level \(y\) in inches of a tank after \(x\) hours. Write an equation for the water level.

Question 7 – Data plan [3 pts]

Aisha’s data plan (x in days, y in GB).

Aisha has a data plan that starts with 12 GB. The graph shows the data left, \(y\), after \(x\) days.

Find the slope and write an equation. (1 point)
Explain the meaning of the x-intercept. (1 point)
How much data is left after 4 days? (1 point)

Question 8 – Points on a line [3 pts]

Consider the line \(2x – 3y = 12\).

Which of these points lie on the line? \((6, 0)\), \((0, 4)\), \((-3, -6)\), \((5, 1)\). (2 points)
Find the value of \(y\) when \(x = 9\). (1 point)

Question 9 – Horizontal and vertical [2 pts]

Write the equation of the horizontal line and of the vertical line that pass through \((4, -3)\).

Key facts behind this graphing linear test

Key facts

Every point on the line is a solution of the equation, and every solution is on the line.
In y = mx + b, m is the slope and b is the y-intercept.
Find intercepts by setting x = 0 for the y-intercept and y = 0 for the x-intercept.
Point-slope form y – y₁ = m(x – x₁) uses a known point and the slope.
y = k is horizontal with slope 0; x = h is vertical with undefined slope.

How to use this graphing linear test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Algebra 1 chapters: Algebra 1 math.

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