9th grade Math practice sheet
New York State Learning Standards · from Gradelings · Name: ______________________
Question 1
What is 6³?
answer box
216
Hint: 6³ = 6 × 6 × 6 = 216.
Question 2
Classify the polynomial 7x² + 3 by its number of terms.
- trinomial
- quadrinomial
- monomial
- binomial
binomial
Hint: Count the terms: 7x² + 3 has 2. One term is a monomial, two a binomial, three a trinomial.
Question 3
Solve for x: 2(x + 4) = −2
answer box
-5
Hint: Divide both sides by 2: x + 4 = −1. Subtract 4: x = −5.
Question 4
What is the slope of the line through (-2, 0) and (-1, 1)?
answer box
1
Hint: slope = rise ÷ run = (1 − 0) ÷ (-1 − (−2)) = 1 ÷ 1 = 1.
Question 5
A school has 200 students. A survey asks 20 of them. What fraction of the students were surveyed? Type it in lowest terms.
answer box
1/10
Hint: Fraction = 20/200, which is 1/10 in lowest terms.
Question 6
Which number is rational?
- √11
- −3/8
- π
- √7
−3/8
Hint: A rational number can be written as a ratio of two integers. −3/8 is exactly that.
Question 7
Which expression gives the number of tiles in figure n?
Figure n Tiles 1 5 2 7 3 9 4 11 - 3n + 2
- 2n − 3
- 5n
- 2n + 3
2n + 3
Hint: The tiles grow by 2 each figure, so the n-term is 2n. Figure 1 has 5 tiles, so add 3.
Question 8
What is the x-intercept of the line 5x + 2y = 20?
answer box
4
Hint: On the x-axis y = 0, so 5x = 20 and x = 4.
Question 9
A correlation coefficient is r = −0.92. What does it tell you?
- A weak negative correlation
- A strong positive correlation
- A strong negative correlation
- No correlation
A strong negative correlation
Hint: A value close to −1 means a strong negative relationship, and a value close to 0 means a weak one.
Question 10
What is the domain of {(−3, 2), (0, −2), (2, 6), (4, 3)}?
- {−2, 1, 3, 5}
- {−2, 2, 3, 6}
- {−3, −2, 0, 2, 3, 4, 6}
- {−3, 0, 2, 4}
{−3, 0, 2, 4}
Hint: The domain is the set of inputs (x-values). The range is the set of outputs (y-values).
Answer key
- 1. 216 (Exponents & Powers)
- 2. binomial (Polynomials)
- 3. -5 (Multi-Step Equations)
- 4. 1 (Linear Relations)
- 5. 1/10 (Statistics in Society)
- 6. −3/8 (Number Sets)
- 7. 2n + 3 (Expressions)
- 8. 4 (Lines & Intersections)
- 9. A strong negative correlation (Data & Scatter Plots)
- 10. {−3, 0, 2, 4} (Function Notation)
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