Practice quiz · by a Quizcard user

SAT Math: Algebra, Advanced Math and Data Formulas — quiz

15 multiple-choice questions covering Linear Equations, Systems of Equations, Quadratics, Exponents, Growth & Percent. One answer each; you get a score at the end and the explanation for every question. No account needed.

Updated 2026-11-04. Keys 1–4 pick an answer, Enter moves on. Redo it any time, in order or shuffled.

The questions

Answers and explanations are shown after you finish.

1. Linear Equations

   A line passes through the points (-3, 4) and (1, -8). What is its slope?

   • -3
   • -1/3
   • 1/3
   • 3
2. Systems of Equations

   Which pair of equations has no solution?

   • y = 4x + 1 and 2y = 8x + 2
   • y = 4x + 1 and y = 4x - 2
   • y = 4x + 1 and y = 5x + 1
   • y = 4x + 1 and y = -4x + 1
3. Systems of Equations

   For the system 3x + 6y = 9 and ax + 12y = 18, what value of a makes the system have infinitely many solutions?

   • 6
   • 12
   • 9
   • 3
4. Quadratics

   The equation y = -2(x - 4)² + 7 represents a parabola. What is its vertex?

   • (4, -7)
   • (4, 7)
   • (-4, 7)
   • (-4, -7)
5. Quadratics

   For the quadratic y = 3x² - 12x + 5, what is the x-coordinate of the vertex?

   • 4
   • 2
   • -2
   • -4
6. Quadratics

   Which factored form is equivalent to x² - 2x - 15?

   • (x + 3)(x - 5)
   • (x - 15)(x + 1)
   • (x + 15)(x - 1)
   • (x - 3)(x + 5)
7. Quadratics

   A quadratic equation has a discriminant of 0. What does this tell you about its roots?

   • It has two distinct real roots
   • It has two complex (non-real) roots
   • It has no solutions at all
   • It has exactly one repeated real root
8. Exponents

   Simplify: 2³ × 2⁵

   • 2¹⁵
   • 2²
   • 2⁸
   • 4⁸
9. Exponents

   What is the value of 4⁻²?

   • 16
   • -1/16
   • 1/16
   • -8
10. Growth & Percent

    An investment of $2000 grows at an annual rate of 6%. Which expression gives its value after 4 years?

    • 2000(1.6)⁴
    • 2000(0.06)⁴
    • 2000 + 0.06 × 4
    • 2000(1.06)⁴
11. Statistics

    A data set has one extremely high value added to it. Which measure of center is most affected?

    • Interquartile range
    • Mean
    • Median
    • Mode
12. Circles

    What are the center and radius of the circle (x + 3)² + (y - 2)² = 16?

    • Center (3, -2), radius 16
    • Center (-3, 2), radius 16
    • Center (3, -2), radius 4
    • Center (-3, 2), radius 4
13. Trigonometry

    In a right triangle, the side adjacent to angle θ is 6 and the hypotenuse is 10. What is cos θ?

    • 5/6
    • 6/5
    • 3/5
    • 4/5
14. SAT Traps

    For all values of x such that x > 0, which statement is NOT always true?

    • -x < x
    • x² ≥ 0
    • x² > x
    • x + 1 > x
15. SAT Traps

    When solving √(x+3) = x - 3 by squaring both sides, you find x = 1 and x = 6. What should you do next, and what do you discover?

    • Neither solution satisfies the original equation
    • Plug both back into the original equation; x = 6 works but x = 1 is extraneous
    • Only x = 1 satisfies the original equation
    • Accept both solutions as valid without checking