SAT Mock Test
Try these questions before downloading
Choose an answer on paper, then open the explanation. These original SAT-style examples are free to read without an account. They are a short skill check, not an official test or a score estimate.
1. Linear equations
If 3(2x − 5) = 27, what is the value of x?
- 2
- 7
- 9
- 14
Show answer and explanation for question 1
Answer: B. 7
Divide both sides by 3 to get 2x − 5 = 9. Add 5, then divide by 2: x = 7. Substituting gives 3(14 − 5) = 27. Choosing 14 stops before the final division.
2. Systems of equations
A theater sold 40 tickets. Adult tickets cost $12 and student tickets cost $8. Total ticket revenue was $400. How many adult tickets were sold?
- 10
- 15
- 20
- 25
Show answer and explanation for question 2
Answer: C. 20
Let a be adult tickets and s be student tickets. Then a + s = 40 and 12a + 8s = 400. Subtract 8(a + s) = 320 from the revenue equation: 4a = 80, so a = 20. The other 20 tickets bring in $160, giving $400 in total.
3. Percent change
A jacket originally costs $80. Its price increases by 25%, then the new price is discounted by 20%. What is the final price?
- $76
- $80
- $84
- $100
Show answer and explanation for question 3
Answer: B. $80
The increased price is 80 × 1.25 = 100 dollars. The discount applies to that new price: 100 × 0.80 = 80 dollars. Percent changes use their current bases; subtracting 20 from 25 and applying a 5% increase would give the wrong result.
4. Quadratics
The function f is defined by f(x) = x² − 6x + 5. What is the minimum value of f(x)?
- −4
- 1
- 3
- 5
Show answer and explanation for question 4
Answer: A. −4
Complete the square: f(x) = (x − 3)² − 4. A square is at least zero, so the minimum output is −4, attained at x = 3. The question asks for the output, not the x-coordinate of the vertex.
5. Right-triangle geometry
A right triangle has legs of length 6 and 8. What is the length of its hypotenuse?
- 7
- 10
- 14
- 100
Show answer and explanation for question 5
Answer: B. 10
By the Pythagorean theorem, c² = 6² + 8² = 36 + 64 = 100. Taking the positive square root gives c = 10. The value 100 is the square of the length, not the length itself.
What to do with your results
For each mistake, write down the rule or step you missed. Solve it again without looking at the explanation, then try another question on the same skill. Use the four-week study schedule to make time for review.
Practice algebra with a clear process
Before selecting an answer, decide what the question asks you to find. Write down the relationship, keep track of signs, and check whether your final value satisfies the original conditions. Easy, medium, and hard question banks let you choose an appropriate challenge.
Read diagrams and conditions carefully
For geometry questions, identify what is given and what must be derived. The app supports question diagrams and separate solution images. Descriptions contain the givens needed to solve supported diagram questions, so an unavailable remote image does not have to end your session.
Use formulas as retrieval practice
Review a formula, hide it, and try to recall when you would use it. The formula flashcards complement worked questions: recalling an equation is useful, but recognizing when it applies is the skill you want to build. Follow the review with a practice problem.
Review the mistake, not only the answer
An incorrect answer can come from a concept gap, an arithmetic slip, or missing a restriction. Read the explanation and classify your mistake. Repeat a similar problem after a break. For a longer timed session, use the mock test or a fixed Score Predictor paper.
Questions before you start
Does the app display mathematical equations?
Yes. The app includes formatted math expressions and formula flashcards.
Do diagrams need an internet connection?
Remote diagram images need internet access. Supported diagram questions also provide text descriptions and retry controls.