ACT Math · Algebra
Quadratic functions and equations practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 9What are the solutions to 2x² - 7x - 15 = 0?
- Question 49The function f(x) = 2(x+3)² - 8 has a minimum value of what?
- Question 52What are all real solutions to x^4 - 13x² + 36 = 0?
- Question 92An object is launched upward with the height function h(t) = -16t² + 64t + 5, where h is in feet and t is in seconds. What is…
- Question 104A ball is thrown so that its height is modeled by h(t) = -16t² + 40t, where h is in feet and t is in seconds. At what time,…
- Question 106A parabola has the form f(x) = a(x-2)² - 5 and passes through the point (0, 3). What is f(4)?
- Question 133What are the solutions to x² + 6x - 7 = 0?
- Question 135A quadratic function has roots at x=4 and x=-3. Which equation could represent this function?
- Question 138How many real solutions does x² - 4x + 7 = 0 have?
- Question 148A quadratic function has zeros at x = 4 and x = -3. What is the x-coordinate of its vertex?
- Question 178What are the solutions to x² + 10x + 21 = 0, found by completing the square?
- Question 183What is x² - 6x + 13 written in vertex form?
- Question 184The equation x² + 10x + 21 = 0 has solutions x=-3 and x=-7. What is the sum of the solutions?
- Question 187What is the axis of symmetry of f(x) = 2x² - 12x + 7?
- Question 188A company's revenue is modeled by R(x) = -5x² + 200x, where x is the number of items sold in hundreds. How many hundreds of…
- Question 191A parabola crosses the x-axis at x = -1 and x = 5, and has a y-intercept of -5. Which equation represents this parabola?
- Question 225A rectangle's length is 4 more than its width. If the area is 96, what is the width?
- Question 244A farmer has 200 feet of fencing to enclose a rectangular pen along the side of a barn, so fencing is needed on only three…