Bluebook SAT Test Digital SAT Hard Math

Question 1

If f(x) = x² - 6x + 9 and g(x) = x - 3, for what value of x does f(x)/g(x) = 7?

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 7

Answer

x = 3

Question 2

A population of bacteria triples every 4 hours. If there are 200 bacteria initially, which expression gives the number after t hours?

Accepted Answer

200 · 3^(t/4)

Answer

200 · 3^(4t)

Answer

200 · (t/4)^3

Answer

3 · 200^(t/4)

Question 3

The system of equations 3x + ky = 12 and 6x + 4y = 24 has infinitely many solutions. What is the value of k?

Accepted Answer

2

Answer

6

Answer

3

Answer

4

Question 4

A quadratic equation has roots at x = 2 + √5 and x = 2 - √5. Which of the following could be the equation?

Accepted Answer

x² - 4x - 1 = 0

Answer

x² + 4x - 1 = 0

Answer

x² - 4x + 1 = 0

Answer

x² - 4x + 9 = 0

Question 5

If 2^(x+1) = 5^(x-1), what is the value of x? (Round to the nearest hundredth.)

Accepted Answer

x ≈ 4.31

Answer

x ≈ 2.15

Answer

x ≈ 1.76

Answer

x ≈ 3.87

Question 6

A circle has center (3, -2) and passes through the point (7, 1). What is the area of the circle?

Accepted Answer

25π

Answer

16π

Answer

5π

Answer

√(25)π

Question 7

The function h(t) = -16t² + 64t + 6 models the height (in feet) of a projectile t seconds after launch. What is the maximum height reached?

Accepted Answer

70 feet

Answer

64 feet

Answer

80 feet

Answer

86 feet

Question 8

If |3x - 7| = 2x + 1, which of the following gives all solutions for x?

Accepted Answer

x = 8 or x = 6/5

Answer

x = 8 only

Answer

x = 6/5 only

Answer

No solution