9th grade Math practice sheet
Texas Essential Knowledge and Skills (TEKS) · from Gradelings · Name: ______________________
Question 1
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 2
A line has slope −1/4. What is the slope of a line perpendicular to it?
- −4
- −1/4
- 1/4
- 4
4
Hint: Flip the fraction and change its sign. The two slopes should multiply to −1.
Question 3
Plan A is y = 10x + 10 and Plan B is y = 15x, where x is months and y is total cost in dollars. The lines meet at (2, 30). What does this point mean?
- Plan A costs $2 and Plan B costs $30
- After 2 months both plans cost $30
- After 30 months both plans cost $2
- Both plans cost $30 per month
After 2 months both plans cost $30
Hint: The first number in a point is x (months) and the second is y (total cost). A point where the lines meet is where both plans cost the same.
Question 4
C(n) = 8n gives the cost of n movie tickets. Which domain makes sense?
- All real numbers
- Negative numbers only
- Numbers between 0 and 1
- Whole numbers 0, 1, 2, 3, ...
Whole numbers 0, 1, 2, 3, ...
Hint: Think about which inputs are possible in the real situation.
Question 5
Solve for x: 5(x + 7) = 0
answer box
-7
Hint: Divide both sides by 5: x + 7 = 0. Subtract 7: x = −7.
Question 6
Tickets cost $4 each plus a $4 fee. You can spend at most $60. What is the greatest number of tickets you can buy?
- 12
- 15
- 17
- 14
14
Hint: 4t + 4 ≤ 60, so t ≤ 14. Round down.
Question 7
Adult tickets cost $6 and child tickets $5. 14 tickets cost $75 in all. How many adult tickets were sold?
- 9
- 4
- 6
- 5
5
Hint: Let a + c = 14 and 6a + 5c = 75. Substitute c = 14 − a.
Question 8
Eight students recorded the minutes they read last night: 38, 44, 46, 50, 36, 60, 32, 56. What is the first quartile, Q1?
answer box
37
Hint: Q1 is the median of the lower half (32, 36, 38, 44): (36 + 38) ÷ 2 = 37.
Question 9
People who carry umbrellas are more likely to have wet shoes. What is the best conclusion?
- One must cause the other
- They are linked, but this does not prove one causes the other. Rainy weather could cause both.
- The data must be wrong
- There is no link at all
They are linked, but this does not prove one causes the other. Rainy weather could cause both.
Hint: Correlation shows two things change together. It does not prove that one causes the other.
Question 10
Classify the polynomial 3x² by its number of terms.
- quadrinomial
- trinomial
- monomial
- binomial
monomial
Hint: Count the terms: 3x² has 1. One term is a monomial, two a binomial, three a trinomial.
Answer key
- 1. 3 (Linear Relations)
- 2. 4 (Coordinate Geometry)
- 3. After 2 months both plans cost $30 (Lines & Intersections)
- 4. Whole numbers 0, 1, 2, 3, ... (Function Notation)
- 5. -7 (Multi-Step Equations)
- 6. 14 (Linear Inequalities)
- 7. 5 (Solving Systems)
- 8. 37 (Data & Scatter Plots)
- 9. They are linked, but this does not prove one causes the other. Rainy weather could cause both. (Two-Way Tables & Causation)
- 10. monomial (Polynomials)
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