Algebra 1 Writing Linear Equations and Functions Test with Point Values (PDF)

Algebra 1 math test: Writing Linear Equations and Functions – Maths PDF

This writing linear test for Algebra 1 covers writing linear equations and functions (Common Core F-LE.A.2, F-BF.A.1a, A-CED.A.2), with a free PDF to print.

Writing linear test (Algebra 1) – first page of the printable PDF
Take this 20-point, 45-minute test to measure your skill with writing linear equations and functions (F-LE.A.2, F-BF.A.1a, and A-CED.A.2). Read each question carefully, show your work, and check units and signs before you move on. If you get stuck, skip the question and return to it at the end.

Time and points

About this test
  • Grade: Algebra 1
  • Chapter: Writing Linear Equations and Functions
  • Standards: F-LE.A.2, F-BF.A.1a, A-CED.A.2
  • Time: 45 minutes
  • Total: 20 points

Writing linear test: questions

Question 1 – Slope-intercept form [2 pts]

Write an equation in slope-intercept form.

  1. Slope 5, y-intercept \(-1\). (1 point)
  2. Slope \(-\frac{1}{3}\), passes through \((0, 4)\). (1 point)

Question 2 – Point-slope [2 pts]

A line has slope 4 and passes through \((-1, 6)\). Write its equation in point-slope form and slope-intercept form.

Question 3 – Two points [2 pts]

Write the equation of the line through \((2, -3)\) and \((6, 5)\).

Question 4 – Equation from a graph [2 pts]

xy-3-2-112345-4-3-2-112345(0, -1)(2, 2)
Graph for question 4.

Write the equation of the line shown.

Question 5 – Equation from a table [2 pts]

x135y51321
Table for question 5.

The table shows a linear function. Write its equation.

Question 6 – Parallel line [2 pts]

Write the equation of the line through \((2, 5)\) that is parallel to \(y = -3x + 1\).

Question 7 – Perpendicular line [3 pts]

A line is perpendicular to \(y = 3x – 4\) and passes through \((6, 2)\).

  1. State its slope. (1 point)
  2. Write its equation in slope-intercept form. (2 points)

Question 8 – Taxi fare model [3 pts]

MilesFare4$1310$28
Two taxi rides.

A taxi fare is linear in the miles driven. Two fares are shown in the table.

  1. Find the cost per mile. (1 point)
  2. Write an equation for the fare \(C\) for \(m\) miles. (1 point)
  3. Find the fare for 15 miles. (1 point)

Question 9 – Standard form [2 pts]

Write \(y = -\frac{3}{5}x + 4\) in standard form with integer coefficients.

View solution

Key facts behind this writing linear test

Key facts
  • Slope from two points: m = (y₂ – y₁)/(x₂ – x₁).
  • Find b by substituting a point into y = mx + b.
  • Point-slope form: y – y₁ = m(x – x₁).
  • Parallel lines have equal slopes; perpendicular slopes are negative reciprocals.
  • In a model, the rate is the slope and the starting amount is the y-intercept.

How to use this writing 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.

Prepare for the test

All Algebra 1 chapters: Algebra 1 math.

Voter.. post

Print this page

Download PDFDownload the Algebra 1 Writing Linear Equations and Functions Test with Point Values (PDF, 83 KB)

More Algebra 1 math

Lessons

See all

Worksheets

See all

Tests

See all

Quizzes

See all