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SAT Math: Advanced Math

Question 1
SAT (Digital)APConcept PracticeEasy
1 mark

Which expression is equivalent to (m4q4z−1)(mq5z3)(m^{4}q^{4}z^{-1})(mq^{5}z^{3})(m4q4z−1)(mq5z3), where mmm, qqq, and zzz are positive?

Question 2
SAT (Digital)APConcept PracticeHard
1 mark

The product of two positive integers is 462462462. If the first integer is 555 greater than twice the second integer, what is the smaller of the two integers?

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Question 3
SAT (Digital)APConcept PracticeHard
1 mark

f(x)=x2−48x+2304f(x) = x^2 - 48x + 2304f(x)=x2−48x+2304

What is the minimum value of the given function?

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Question 4
SAT (Digital)APConcept PracticeHard
1 mark

The first term of a sequence is 999. Each term after the first is 444 times the preceding term. If www represents the nnnth term of the sequence, which equation gives www in terms of nnn?

Question 5
SAT (Digital)APConcept PracticeHard
1 mark

Which expression is equivalent to 44x−5−1x+1\frac{4}{4x-5} - \frac{1}{x+1}4x−54​−x+11​?

Question 6
SAT (Digital)APConcept PracticeMedium
1 mark

g(x)=x2+55g(x) = x^2 + 55g(x)=x2+55

What is the minimum value of the given function?

Question 7
SAT (Digital)APConcept PracticeEasy
1 mark

What is the xxx-intercept of the graph shown?

![Graph of a parabola in the x y plane](Graph of a parabola in the x y plane with the origin labeled O. The x axis ranges from 0 to 10 in increments of 1, with values marked every 2 grid lines. The y axis ranges from 0 to 10 in increments of 1, with values marked every 2 grid lines. Refer to long description.)

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Question 8
SAT (Digital)APConcept PracticeEasy
1 mark

p+34=q+rp + 34 = q + rp+34=q+r

The given equation relates the variables ppp, qqq, and rrr. Which equation correctly expresses ppp in terms of qqq and rrr?

Question 9
SAT (Digital)APConcept PracticeMedium
1 mark

The function fff is given by f(x)=(x+6)(x+5)(x−4)f(x) = (x+6)(x+5)(x-4)f(x)=(x+6)(x+5)(x−4). Which table of values represents y=f(x)−3y = f(x) - 3y=f(x)−3?

Question 10
SAT (Digital)APConcept PracticeHard
1 mark

In the given equation, ccc is a constant. The equation has exactly one solution. What is the value of ccc?

−9x2+30x+c=0-9x^2 + 30x + c = 0−9x2+30x+c=0