9th grade Math practice sheet
Minnesota K-12 Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 7³?
answer box
343
Hint: 7³ = 7 × 7 × 7 = 343.
Question 2
Classify the polynomial 7x² by its number of terms.
- trinomial
- monomial
- quadrinomial
- binomial
monomial
Hint: Count the terms: 7x² has 1. One term is a monomial, two a binomial, three a trinomial.
Question 3
Solve for x: 3(x + 7) = 24
answer box
1
Hint: Divide both sides by 3: x + 7 = 8. Subtract 7: x = 1.
Question 4
What is the slope of the line through (0, 4) and (2, -2)?
answer box
-3
Hint: slope = rise ÷ run = (-2 − 4) ÷ (2 − 0) = −6 ÷ 2 = −3.
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
What is the largest natural number?
- 999,999,999
- 1,000,000
- There is no largest one: they go on forever
- 1
There is no largest one: they go on forever
Hint: Add 1 to any natural number and you get a bigger one, so the set is infinite.
Question 7
Which expression is NOT equivalent to 3x + 15?
- x + 2x + 15
- 3(x + 5)
- 3(x + 15)
- 15 + 3x
3(x + 15)
Hint: Expand each one. 3(x + 5) = 3x + 15, but 3(x + 15) = 3x + 45.
Question 8
Which point is in the region y < −2x + 2?
- (2, 1)
- (−2, 10)
- (4, −6)
- (3, −6)
(3, −6)
Hint: Put each point into the inequality. A point on the line is not included because the sign is strict, and the other side of the line is the wrong region.
Question 9
Eight students recorded the minutes they read last night: 48, 32, 50, 28, 38, 52, 46, 42. What is the interquartile range (Q3 − Q1)?
answer box
14
Hint: Q1 = 35 and Q3 = 49 (the medians of the lower and upper halves). Subtract: 49 − 35 = 14.
Question 10
What is the domain of {(0, 3), (1, 2), (2, 7), (4, −1)}?
- {0, 1, 2, 4}
- {1, 2, 3, 5}
- {−1, 0, 1, 2, 3, 4, 7}
- {−1, 2, 3, 7}
{0, 1, 2, 4}
Hint: The domain is the set of inputs (x-values). The range is the set of outputs (y-values).
Answer key
- 1. 343 (Exponents & Powers)
- 2. monomial (Polynomials)
- 3. 1 (Multi-Step Equations)
- 4. -3 (Linear Relations)
- 5. 1/20 (Statistics in Society)
- 6. There is no largest one: they go on forever (Number Sets)
- 7. 3(x + 15) (Expressions)
- 8. (3, −6) (Lines & Intersections)
- 9. 14 (Data & Scatter Plots)
- 10. {0, 1, 2, 4} (Function Notation)
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback. See all math units.