9th grade Math practice sheet
California Content Standards · from Gradelings · Name: ______________________
Question 1
What is 9³?
answer box
729
Hint: 9³ = 9 × 9 × 9 = 729.
Question 2
Classify the polynomial 4x² + 7 by its number of terms.
- trinomial
- binomial
- quadrinomial
- monomial
binomial
Hint: Count the terms: 4x² + 7 has 2. One term is a monomial, two a binomial, three a trinomial.
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
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 5
A school has 400 students. A survey asks 20 of them. What fraction of the students were surveyed? Type it in lowest terms.
answer box
1/20
Hint: Fraction = 20/400, which is 1/20 in lowest terms.
Question 6
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 7
Which expression is NOT equivalent to 2x + 4?
- 2(x + 2)
- 4 + 2x
- 2(x + 4)
- x + x + 4
2(x + 4)
Hint: Expand each one. 2(x + 2) = 2x + 4, but 2(x + 4) = 2x + 8.
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
Eight students recorded the minutes they read last night: 51, 43, 57, 37, 65, 49, 59, 53. What is the first quartile, Q1?
answer box
46
Hint: Q1 is the median of the lower half (37, 43, 49, 51): (43 + 49) ÷ 2 = 46.
Question 10
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).
Answer key
- 1. 729 (Exponents & Powers)
- 2. binomial (Polynomials)
- 3. -1 (Multi-Step Equations)
- 4. 2 (Linear Relations)
- 5. 1/20 (Statistics in Society)
- 6. 8 (Number Sets)
- 7. 2(x + 4) (Expressions)
- 8. A vertical line through (−3, 0) (Lines & Intersections)
- 9. 46 (Data & Scatter Plots)
- 10. {−4, 0, 1, 8} (Function Notation)
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