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.
Practice Worksheet
Linear Relations Practice
Solve each problem. Show your work.
- 1.Find the slope and y-intercept of the line represented by the equation 3x + 2y = 6. Write your answer in the form y = mx + b.
- 2.Graph the linear relation y = -2/3 x + 4. Label the y-intercept and at least two other points.
- 3.A taxi charges a flat fee of 3.00 plus 1.50 per kilometer. Write an equation to represent the total cost (C) of a taxi ride based on the distance traveled in kilometers (d).
- 4.Determine the equation of the line that passes through the points (2, 5) and (4, 9).
- 5.Sarah is saving money. She starts with 50 and saves 15 each week. Write a linear equation to represent the total amount of money Sarah has after 'w' weeks. How much money will she have after 10 weeks?
- 6.Solve the following equation for x: 5(x - 2) + 3 = 2x + 11.
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Grade offline workFrequently 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.