SAT Math: Advanced Math

Question 1

SAT (Digital)APConcept PracticeHard

1 mark

In the equation $64x^2 + bx + 25 = 0$ , $b$ is a constant. For which of the following values of $b$ will the equation have more than one real solution?

Question 2

SAT (Digital)APConcept PracticeMedium

1 mark

If $|4x-4| = 112$ , what is the positive value of $x-1$ ?

Question 3

SAT (Digital)APConcept PracticeEasy

1 mark

Which expression is equivalent to $12x^3 - 5x^3$ ?

Question 4

SAT (Digital)APConcept PracticeEasy

1 mark

$\text{c} - 7 = 25p + k$

The given equation relates the positive numbers $c$ , $p$ , and $k$ . Which equation correctly expresses $c$ in terms of $p$ and $k$ ?

Question 5

SAT (Digital)APConcept PracticeHard

1 mark

$p(t) = 90,000(1.06)^{t}$

The given function $p$ models the population of Lowell $t$ years after a census. Which of the following functions best models the population of Lowell $m$ months after the census?

Question 6

SAT (Digital)APConcept PracticeMedium

1 mark

x = 8a(b+9) The given equation relates the positive numbers $a$ , $b$ , and $x$ . Which equation correctly expresses $a$ in terms of $b$ and $x$ ?

Question 7

SAT (Digital)APConcept PracticeHard

1 mark

The function $g$ is defined by $g(x) = x(x-2)(x+6)^2$ . The value of $g(7-w)$ is $0$ , where $w$ is a constant. What is the sum of all possible values of $w$ ?

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Question 8

SAT (Digital)APConcept PracticeHard

1 mark

The function $f$ is defined by $f(x) = 9(4)^{x}$ . If $g(x) = f(x+2)$ , which of the following equations defines the function $g$ ?