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  1. AP Digital Sat
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SAT Math: Advanced Math

Question 1
SAT (Digital)APExam Style
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)APExam Style
1 mark

The product of two positive integers is 462. If the first integer is 5 greater than twice the second integer, what is the smaller of the two integers?

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Question 3
SAT (Digital)APExam Style
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)APExam Style
1 mark

The first term of a sequence is 9. Each term after the first is 4 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)APExam Style
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)APExam Style
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)APExam Style
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....

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Question 8
SAT (Digital)APExam Style
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)APExam Style
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)APExam Style
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