SAT Math: Advanced Math Practice Quiz

Question 1

Solve the equation x^2 - 7x + 12 = 0.

Accepted Answer

x = 3 and x = 4

Question 2

Which function represents exponential growth?

Accepted Answer

f(x) = 2(1.2)^x

Question 3

What is the vertex of y = -2(x - 5)^2 + 9?

Accepted Answer

(5, 9)

Question 4

How many real solutions does the equation 3x^2 - 6x + 5 = 0 have?

Accepted Answer

0

Question 5

When (2x - 3)(x^2 + 4x - 1) is expanded, what is the coefficient of x^2?

Accepted Answer

5

Question 6

A town's population is modeled by P(t) = 24000(1.03)^t, where t is years after 2020. What is the predicted population after 5 years, to the nearest whole number?

Accepted Answer

27,823

Question 7

Simplify (x^2 - 9) / (x^2 + x - 12).

Accepted Answer

(x + 3)/(x + 4), x != 3 and x != -4

Question 8

A projectile's height in feet is modeled by h(t) = -16t^2 + 80t + 6, where t is in seconds. What is the maximum height of the projectile?

Accepted Answer

106 feet

Question 9

Solve the equation 1/(x - 2) + 2/(x + 1) = 3/((x - 2)(x + 1)).

Accepted Answer

No solution

Question 10

A medication concentration is modeled by C(t) = 80(0.75)^t, where t is hours after a dose. A monitor defines R(t) = C(t + 2). Which statement is correct?

Accepted Answer

R(2) = 25.3 mg/L, and it represents concentration 4 hours after the dose.