9th grade Math practice sheet
Arizona Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 5⁴?
answer box
625
Hint: 5⁴ = 5 × 5 × 5 × 5 = 625.
Question 2
Classify the polynomial 8x² + 8 by its number of terms.
- trinomial
- monomial
- quadrinomial
- binomial
binomial
Hint: Count the terms: 8x² + 8 has 2. One term is a monomial, two a binomial, three a trinomial.
Question 3
Solve for x: 3(x + 8) = 51
answer box
9
Hint: Divide both sides by 3: x + 8 = 17. Subtract 8: x = 9.
Question 4
What is the slope of the line through (2, -4) and (3, 0)?
answer box
4
Hint: slope = rise ÷ run = (0 − (−4)) ÷ (3 − 2) = 4 ÷ 1 = 4.
Question 5
A school has 600 students. A survey asks 60 of them. What fraction of the students were surveyed? Type it in lowest terms.
answer box
1/10
Hint: Fraction = 60/600, which is 1/10 in lowest terms.
Question 6
A decimal repeats forever: 0.333… Is it rational?
- No, because it is not a fraction
- No, because it never ends
- Yes, it equals 1/3
- Only if it is rounded
Yes, it equals 1/3
Hint: A repeating decimal can be written as a fraction, so it is rational.
Question 7
Which expression is equivalent to 6(x − 4)?
- 6x − 24
- 6x − 4
- x − 24
- 6x − 10
6x − 24
Hint: Multiply both terms inside the brackets by 6: 6x and 6 × (−4) = −24.
Question 8
The lines y = 2x + 1 and y = x + 3 meet at one point. What is the y-coordinate of that point?
answer box
5
Hint: Set the two expressions equal: 2x + 1 = x + 3. Solve for x to get x = 2, then put x back to find y = 5.
Question 9
A line of best fit for hours of practice (x) and score (y) is y = 3x + 7. What score does the model predict after 2 hours?
answer box
13
Hint: Substitute x = 2: y = 3 × 2 + 7 = 13.
Question 10
f(x) = 2x + 1. For which x is f(x) = 3?
- 1
- -1
- 2
- 3
1
Hint: Solve 2x + 1 = 3.
Answer key
- 1. 625 (Exponents & Powers)
- 2. binomial (Polynomials)
- 3. 9 (Multi-Step Equations)
- 4. 4 (Linear Relations)
- 5. 1/10 (Statistics in Society)
- 6. Yes, it equals 1/3 (Number Sets)
- 7. 6x − 24 (Expressions)
- 8. 5 (Lines & Intersections)
- 9. 13 (Data & Scatter Plots)
- 10. 1 (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.