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Work through six original questions, choose an answer on paper, then open each explanation. These short sets help you spot skills to review; they are not full-length tests or SAT score predictions.
By Prepvora · Updated October 24, 2026
The questions cover the four Math domains in the College Board content outline. These are independent Prepvora examples, not official College Board questions.
Algebra
A bike rental costs $12 plus $8 per hour. The total cost is $52. For how many hours was the bike rented?
Answer: B. 5
Let h be the number of hours. Then 12 + 8h = 52. Subtract 12 to get 8h = 40, then divide by 8: h = 5. Check: 12 + 8(5) = 52.
What to watch for: Subtract the fixed fee before dividing by the hourly rate. Dividing 52 by 8 counts the fixed fee as riding time.
Algebra
The equations x + y = 11 and 2x + 3y = 28 describe a system. What is the value of y?
Answer: C. 6
Double the first equation to get 2x + 2y = 22. Subtract it from the second equation: y = 6. Then x = 5; both original equations are satisfied.
What to watch for: The question asks for y, not x. Label the quantity you need before solving.
Advanced Math
If x² − 7x + 12 = 0, what is the greater solution?
Answer: B. 4
Factor the expression: (x − 3)(x − 4) = 0. The solutions are 3 and 4, so the greater solution is 4.
What to watch for: The two numbers in the factors multiply to 12 and add to −7. Remember to compare both solutions.
Advanced Math
A model gives a population after t years as P(t) = 500(1.08)ᵗ. What annual percent increase does this model represent?
Answer: C. 8%
For growth, the multiplier is 1 + r, where r is the rate as a decimal. Here r = 1.08 − 1 = 0.08, which is 8%.
What to watch for: A multiplier of 1.08 means 108% of the previous amount, so the increase is 8%, not 108%.
Problem-Solving and Data Analysis
A jacket priced at $80 is discounted by 25%. A 10% sales tax is then applied to the discounted price. What is the final price?
Answer: C. $66
After the discount, the price is 80 × 0.75 = 60 dollars. Apply tax to that price: 60 × 1.10 = 66 dollars.
What to watch for: Do not combine the percentages as a single 15% discount. The tax and discount use different base amounts.
Geometry and Trigonometry
In a right triangle, an acute angle θ has an opposite side of length 6 and a hypotenuse of length 10. What is sin θ?
Answer: A. 3/5
Sine is opposite divided by hypotenuse. Therefore sin θ = 6/10 = 3/5. The third side is not needed.
What to watch for: Use the sides relative to the marked angle. Opposite over adjacent is tangent, not sine.
Use the free diagnostic to find a starting point for your prep, or review a topic guide before your next practice session.
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