Grade 9 Linear Relations Worksheets
Free printable linear relations practice for Grade 9 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- Coding for Linear RelationsUse coding to create graphical representations of linear relations and to solve problems involving linear equations.
- Linear vs Non-Linear RelationsDistinguish between linear and non-linear relations by examining characteristics such as first differences.
- Slope and Y-InterceptIdentify and interpret the slope and y-intercept of a linear relation, and connect them to real-world situations.
- Equation of a LineWrite the equation of a line in the form y = mx + b given its characteristics or graph.
- Solving Linear EquationsSolve first-degree equations with one variable, including equations with variables on both sides.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.For the linear relation y = 2x + 3, what is the y-intercept?
- 2.For the linear relation y = -x + 5, what is the slope?
- 3.Write the equation of a line with a slope of 3 and a y-intercept of -1.
- 4.If y = 4x - 2, what is the value of y when x = 1?
- 5.Identify the slope and y-intercept for the equation y = -5x + 10.
- 6.What is the equation of a line that passes through the point (0, 4) and has a slope of 1?
Full range of grade expectations
Solve each problem. Show your work.
- 1.A line has a slope of -3/4 and passes through the point (8, 5). Write the equation of the line in slope-intercept form (y = mx + b).
- 2.Graph the linear relation y = 2x - 1. Label the y-intercept and at least two other points on the line.
- 3.Sarah is saving money for a new bike. She already has 50 and saves 15 each week. Write a linear equation to represent the total amount of money (M) she has after (w) weeks. Then, calculate how much money she will have after 8 weeks.
- 4.Determine the slope and y-intercept of the line represented by the equation 3x + 2y = 10. Express your answer in terms of m and b.
- 5.Two points on a line are (2, 7) and (6, -5). What is the equation of the line in slope-intercept form?
- 6.A taxi company charges a flat fee of 3 plus 1.50 per mile driven. Write an equation for the total cost (C) of a taxi ride based on the number of miles (m). If a ride costs 18, how many miles was the journey?
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Create a Free AccountFrequently Asked Questions
How often should my child practice linear relations?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.