Algebra 1 Writing Linear Equations and Functions Worksheet (PDF)

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

Sommaire

This writing linear worksheet 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 worksheet (Algebra 1) – first page of the printable PDF

This worksheet has 20 problems on writing linear equations and functions, aligned to Common Core F-LE.A.2, F-BF.A.1a, and A-CED.A.2. You will write equations from graphs, tables, points, and slopes, build linear models from word problems, and work with parallel and perpendicular lines. Early problems check one skill at a time; the final six put the skill inside real situations. Write each step on paper before you look at the answer key.

Algebra 1 · Common Core State Standards: F-LE.A.2, F-BF.A.1a, A-CED.A.2

Writing linear worksheet: exercises 1 to 10

Exercise 1 – Slope and intercept given

Write the equation of the line with slope $4$ and y-intercept $-3$.

Exercise 2 – Slope and y-intercept point

Write the equation of the line with slope $-2$ that passes through $(0, 5)$.

Exercise 3 – Equation from a graph

A line.

Write the equation of the line shown.

Exercise 4 – Point and slope

Write the equation of the line with slope 3 through $(2, 4)$ in point-slope form and slope-intercept form.

Exercise 5 – Fraction slope

Write the equation of the line with slope $-\frac{1}{2}$ through $(4, 1)$.

Exercise 6 – Two points, positive slope

Write the equation of the line through $(2, 5)$ and $(4, 9)$.

Exercise 7 – Two points

Write the equation of the line through $(-2, 7)$ and $(4, -5)$.

Exercise 8 – Equation from a table

Values of a linear function.

Write an equation for the linear function in the table.

Exercise 9 – Table with steps of 2

A linear table.

Write an equation for the table.

Exercise 10 – Parallel line

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

Exercises 11 and up

Exercise 11 – Perpendicular line

Write the equation of the line through $(4, 3)$ that is perpendicular to $y = 2x – 1$.

Exercise 12 – Horizontal and vertical

Write the equation of the horizontal line and the vertical line through $(-3, 2)$.

Exercise 13 – Standard form

Write $y = rac{3}{4}x – 2$ in standard form $Ax + By = C$ with integer coefficients.

Exercise 14 – Function notation

A linear function has $f(0) = -4$ and $f(3) = 5$. Write $f(x)$.

Exercise 15 – Do three points line up?

Do the points $(1, 2)$, $(3, 8)$, and $(5, 14)$ lie on one line? If so, write the equation.

Exercise 16 – Cell plan

A cell plan costs $20 per month plus $0.05 per text. Write a function $C(x)$ for the monthly cost of $x$ texts, and find the cost of 300 texts.

Exercise 17 – Plumber

Plumber charges.

A plumber charges a $45 trip fee plus an hourly rate. The table shows the total charge. Write an equation and find the charge for 2.5 hours.

Exercise 18 – Candle

A candle is 12 inches tall and burns at 0.75 inch per hour. Write a function for its height $H$ after $t$ hours. When is it 3 inches tall? When does it burn out?

Exercise 19 – Car rental

Two rental prices.

A car rental costs $135 for 3 days and $205 for 5 days. Assuming a linear cost, write an equation for the cost $C$ of $d$ days and find the cost for 7 days.

Exercise 20 – Filling a pool

A kiddie pool has 150 gallons after 2 hours of filling and 330 gallons after 5 hours. Write a linear function for the gallons $G$ after $h$ hours and find the amount after 8 hours.

Exercise 21 – Perpendicular road

On a map, a road is modeled by $y = -\frac{1}{3}x + 2$. A new road is perpendicular to it and passes through $(6, 1)$. Write its equation.

View solution

Key facts behind this writing linear worksheet

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 worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the writing linear worksheet as a PDF with the button below and keep it with your notes.

All Algebra 1 chapters: Algebra 1 math.

Voter.. post

Print this page

Download PDFDownload the Algebra 1 Writing Linear Equations and Functions Worksheet (PDF, 80 KB)

Algebra 1 Writing Linear Equations and Functions Worksheet (PDF)

Writing linear worksheet: exercises 1 to 10

Exercises 11 and up

Key facts behind this writing linear worksheet

How to use this writing linear worksheet

Print this page

More Algebra 1 math

Lessons

Worksheets

Tests

Quizzes