SAT advancedmath — practice questions
36 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice SAT advancedmath in the app →The function f(x) = x² has its MINIMUM value at x =Which expression is equivalent to (x + 3)(x - 3)?What is the value of 2³ × 2² ?For g(x) = (x - 2)² + 5, the minimum value is:Solve for x: x² - 5x + 6 = 0.Simplify: (x² - 9)/(x + 3) for x ≠ -3.For how many real values of x is the equation x² + 4 = 0 true?If h(x) = 3ˣ and h(0) = 10 is added (i.e., h(x) = 3ˣ + 9), what is h(2)?The equation y = -4x² + bx has a graph that intersects the line y = 2.25 at EXACTLY ONE POINT. Find b > 0.Simplify: 4/(4x - 5) - 1/(x + 1)For f(x) = 86 × (0.2)ˣ, find f(2):If a function h(x) = aˣ + b passes through (0, 10) and (-2, 325/36), find ab.What is the value of 5⁰?Simplify: (x²)³Solve x² = 49What is (x + 2)² expanded?Solve: x² - 6x + 8 = 0Simplify: (a²b)(ab²)Find the vertex of y = (x - 3)² + 5:What is 2⁻³?Solve: √(x + 4) = 5For what value of x does f(x) = 2x² - 8x reach its minimum?If f(x) = x³ - 2x + 1, find f(2):Solve: 3ˣ = 81Simplify: (x² - 16)/(x + 4) for x ≠ -4The graph of y = -x² opens:What is the discriminant of x² + 4x + 4?What is the minimum value of the function $g(x) = (x-3)^2 + 7$?How many distinct real solutions does the equation $(x+2)^2 = -9$ have?In the xy-plane, the line $y = 5$ intersects the parabola $y = x^2 + bx + 9$ at exactly one point. What is theFor the function $f$, $f(0) = 200$ and $f(x)$ decreases by 50% for each increase of $x$ by 1. What is $f(3)$?A bacteria culture starts with 80 cells and grows by 25% per hour. Which function models the count after $x$ hThe function $h(x) = a \cdot b^x$ passes through $(0, 12)$ and $(1, 36)$. What is the value of $ab$?Which expression is equivalent to $\frac{2}{x+1} - \frac{1}{x-2}$?The line $y = 4$ intersects the parabola $y = x^2 - 4$ at how many points in the xy-plane?Which expression is equivalent to $3(x + 2) - (x - 4)$?