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Grade 9Common Core (CCSS) · Math

Aligned with the Common Core State Standards · All grades

Math · Grade 9

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Worked example

  1. The goal: read or calculate k (slope), m (intercept) or y for a given x.
  2. A linear function looks like y = kx + m. k is the slope, m is where the line crosses the y-axis.
  3. Example: y = 2x + 1. What is y when x = 3? Substitute: y = 2 × 3 + 1 = 7.
  4. Is the point (4, 9) on the line? 2 × 4 + 1 = 9. Yes! ✓
  5. Check: read the question again. Does your answer give what was asked, with the right unit? Work backwards to see that it fits. ✓

Mixed review of all areas · Grade 9

Name: ____________________
1.

Find the equation y = kx + m of the line through (2, 8) and (4, 12).

2.

Factorise: x² − 121

3.

Solve the system: 3x − 3y = 27 and 4x − 3y = 32

4.

Simplify: 8x + 4y + 5x − 4y + 4 =

5.

Solve: x² = 100

6.

Solve: 2x + 2 > -2

7.

Factorise: 25x + 45

8.

The model for equipment value uses amounts in kr. Find the value: 10,000 grows by 14 % per year for 4 years (whole number) Answer with the correct unit.

9.

Solve: 3x + 2 > 20

10.

Expand: −5(x + 9) =

11.

Does the point (−3, 0) lie on y = 2x + 6?

12.

Find the range and median: 48, 11, 41, 33, 16, 23

13.

Solve the system: x − 2y = 10 and 4x − y = 26

14.

Expand: (2x + 6)(2x − 6)

15.

Solve: x² = 100

16.

Does the point (−1, 0) lie on y = −2x − 2?

17.

Factorise: 24x + 54

18.

Solve the system: x + y = 4 and 3x + y = 2

19.

Solve: 3x + 0 > 24

20.

Solve the system: −3x − y = 0 and 4x − y = 7

Answer key

  1. 1. y = 2x + 4
  2. 2. (x + 11)(x − 11)
  3. 3. x = 5, y = −4
  4. 4. 13x + 4
  5. 5. x = ±10
  6. 6. x > -2
  7. 7. 5(5x + 9)
  8. 8. 16,890 kr
  9. 9. x > 6
  10. 10. −5x − 45
  11. 11. Yes
  12. 12. 37; median 28
  13. 13. x = 6, y = −2
  14. 14. 4x² − 36
  15. 15. x = ±10
  16. 16. Yes
  17. 17. 6(4x + 9)
  18. 18. x = −1, y = 5
  19. 19. x > 8
  20. 20. x = 1, y = −3

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Topics on this worksheet

Areas on this sheet

  • Relationships and change · 3
  • Algebra · 10

Step 1 of 5

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Area
Review
Exercise type
Mixed review of all areas
Grade
9 (ages 14–15)
Difficulty
Medium
Number of tasks
20
Task format
Mixed
Paper size
US Letter
1. Choose content
Area
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A ready-made mixed sheet for grade 9 at the top, and a complete practice pack below: Algebra 1: linear functions, systems of equations, inequalities, factoring and quadratic equations, exponential growth and statistics.

How to use the tool

  1. Print the mixed sheet directly, or adjust level and number of tasks.
  2. Open each sheet in the practice pack for every topic.
  3. “Create new version” gives new numbers every time.

About this generator

This page gathers what students in grade 9 usually practice: Algebra 1: linear functions, systems of equations, inequalities, factoring and quadratic equations, exponential growth and statistics. The mixed sheet at the top is calculated at a level suited to the grade and includes word problems. Below it you find a ready practice pack with separate generators for each topic, so a whole week of math can be printed in a few minutes. Every sheet has an answer key calculated by the website. No sign-up and no personal data are needed.

Popular uses

  • Weekly math pack
  • Homework
  • Revision before tests
  • Substitute lessons

More sheets for grade 9: Systems of equations (extension) · Pythagorean theorem · Interest & percent change · Powers & roots · National test prep (grade 9)

Ready practice pack

Open each sheet, print it with answers, and you have a full week of math.

  1. 1. Systems of equations (extension)
  2. 2. Pythagorean theorem
  3. 3. Interest & percent change
  4. 4. Powers & roots
  5. 5. National test prep (grade 9)
Weekly math worksheet — new every Monday →Build your own pack →

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Frequently asked questions

How do I pick the right level?
Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
Can I see the problems before printing?
Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
How do I include an answer key?
Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
What does the question mark next to a problem do?
It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
What do students learn in grade 9 maths?
Typically Algebra 1: linear functions, systems of equations, inequalities, factoring and quadratic equations, exponential growth and statistics.
Is there an answer key?
Yes, every sheet can be printed with answers.
Are these grade 9 math worksheets free?
Yes. All grade 9 math worksheets are free to print as PDF, with no account.

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