Grade 9 Math Practice
Complete Grade 9 / Freshman math practice covering all major topics. These problems align with typical 9th grade curriculum and prepare you for success in high school math.
Skills You'll Practice
- Solving linear and quadratic equations
- Graphing linear functions
- Working with systems of equations
- Understanding geometric relationships
- Applying the Pythagorean theorem
- Working with exponents and radicals
- Basic statistics and probability
Linear Equations & Graphing
EasySolve: 3x - 7 = 14
💡 Show Hint
Add 7, then divide by 3
✓ Show Answer
x = 7
What is the slope of y = -2x + 5?
💡 Show Hint
In y = mx + b, m is the slope
✓ Show Answer
-2
Find the y-intercept of y = 4x - 3
💡 Show Hint
In y = mx + b, b is the y-intercept
✓ Show Answer
-3 or (0, -3)
Systems & Quadratics
MediumSolve: x + y = 10 and x - y = 4
💡 Show Hint
Add the equations to eliminate y
✓ Show Answer
x = 7, y = 3
Factor: x² - 7x + 12
💡 Show Hint
Find two numbers that multiply to 12 and add to -7
✓ Show Answer
(x - 3)(x - 4)
Simplify: √50
💡 Show Hint
√50 = √(25 × 2) = 5√2
✓ Show Answer
5√2
Geometry & Applications
HardFind the distance between (2, 3) and (5, 7)
💡 Show Hint
Distance formula or Pythagorean: d² = 3² + 4²
✓ Show Answer
5
A rectangle has perimeter 36 and length twice the width. Find dimensions.
💡 Show Hint
2(2w + w) = 36 → 6w = 36
✓ Show Answer
width = 6, length = 12
Solve using quadratic formula: x² + 4x - 5 = 0
💡 Show Hint
Or factor: (x+5)(x-1) = 0
✓ Show Answer
x = 1 or x = -5
Pro Tips
- 💡Master slope-intercept form (y = mx + b) — it's used everywhere
- 💡For systems of equations, elimination often works faster than substitution
- 💡When factoring quadratics, always check by FOILing back
- 💡Distance formula is just Pythagorean theorem in coordinate form
Curriculum Alignment
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