9th grade Math practice sheet
Oregon State Standards · from Gradelings · Name: ______________________
Question 1
Which number is both a natural number and an integer?
- −8
- 8/3
- √8
- 8
8
Hint: Natural numbers are 1, 2, 3, … and every one of them is also an integer.
Question 2
What is 9³?
answer box
729
Hint: 9³ = 9 × 9 × 9 = 729.
Question 3
Solve for x: 6(x + 4) = 18
answer box
-1
Hint: Divide both sides by 6: x + 4 = 3. Subtract 4: x = −1.
Question 4
To solve 9x + 2 = 56, Zoe first subtracts 2 from both sides. What equation comes next?
- 9x = 54
- 9x = 56
- 9x = 58
- x + 2 = 56
9x = 54
Hint: Whatever you do to one side, do to the other. Subtracting keeps the equation balanced.
Question 5
Solve −6x − 10 ≥ −58.
- x ≤ 8
- x ≥ 8
- x ≥ 9
- x ≥ −8
x ≤ 8
Hint: Undo the steps as with an equation. Dividing by a negative number flips the inequality sign.
Question 6
What is the slope of the line through (2, 0) and (3, 2)?
answer box
2
Hint: slope = rise ÷ run = (2 − 0) ÷ (3 − 2) = 2 ÷ 1 = 2.
Question 7
What is the range of {(−3, 1), (0, 0), (2, −4), (7, 8)}?
- {−3, 0, 2, 7}
- {−3, 1, 2, 9}
- {−4, −3, 0, 1, 2, 7, 8}
- {−4, 0, 1, 8}
{−4, 0, 1, 8}
Hint: The domain is the set of inputs (x-values). The range is the set of outputs (y-values).
Question 8
Which describes the graph of x = −3?
- A vertical line through (0, −3)
- A horizontal line through (0, −3)
- A line through the origin with slope −3
- A vertical line through (−3, 0)
A vertical line through (−3, 0)
Hint: x = k means every point has the same x-value, so the line goes straight up and down through that x on the x-axis.
Question 9
Two numbers add to 15. Their difference is 1. What are the numbers?
- 9 and 6
- 15 and 1
- 8 and 7
- 7 and 8
8 and 7
Hint: Add the two equations: 2 × the bigger number = sum + difference.
Question 10
Is 4, 8, 12, 16, ... arithmetic or geometric?
- Neither
- Geometric: multiply by 4
- Arithmetic: add 4
Arithmetic: add 4
Hint: Arithmetic sequences add the same amount. Geometric sequences multiply by the same amount.
Answer key
- 1. 8 (Number Sets)
- 2. 729 (Exponents & Powers)
- 3. -1 (Multi-Step Equations)
- 4. 9x = 54 (Rearranging Formulas)
- 5. x ≤ 8 (Linear Inequalities)
- 6. 2 (Linear Relations)
- 7. {−4, 0, 1, 8} (Function Notation)
- 8. A vertical line through (−3, 0) (Lines & Intersections)
- 9. 8 and 7 (Solving Systems)
- 10. Arithmetic: add 4 (Sequences)
Want more than 10 questions?
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