SAT Math · Topic practice · SAT Math · Unit 2

Advanced Math

A mixed exercise set, like a textbook: every problem type this unit covers, shuffled together and getting harder as you go. Work on paper, reveal to check — and hit on any problem for the same kind with new numbers (246 in the pool).

Practice set — quiz with instant feedback and retries.Review the lessons for this unit first.

Exercises

14 of 246 shown

What is the sum of the solutions of $x^2 + 13x + 42 = 0$ ?

If $\dfrac{(x^{1} \cdot x^{1})^{3}}{x^{1}} = x^{n}$ for all $x \ne 0$ , what is the value of $n$ ?

The graph of $y = x^2 - 8x - 6$ in the $xy$ -plane is a parabola. What is the $x$ -coordinate of its vertex?

If $f(x) = x^2 - 5x - 4$ , what is the value of $f(-3)$ ?

Which of the following is equivalent to $x^2 + 13x + 42$ ?

For what positive value of $k$ does the equation $x^2 + kx + 9 = 0$ have exactly one solution?

The number of bacteria in a culture starts at $200$ and doubles every one of the next 3 hours. How many are there at the end?

What is the sum of the solutions of $x^2 + 10x + 24 = 0$ ?

If $\dfrac{(x^{1} \cdot x^{4})^{2}}{x^{2}} = x^{n}$ for all $x \ne 0$ , what is the value of $n$ ?

10.

The graph of $y = x^2 - 4x + 3$ in the $xy$ -plane is a parabola. What is the $x$ -coordinate of its vertex?

11.

If $f(x) = x^2 - 5x + 5$ , what is the value of $f(3)$ ?

12.

Which of the following is equivalent to $x^2 - 2x - 35$ ?

13.

For what positive value of $k$ does the equation $x^2 + kx + 100 = 0$ have exactly one solution?

14.

The number of subscribers of a channel starts at $300$ and doubles every one of the next 5 months. How many are there at the end?