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  1. AP Digital Sat
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SAT Math: Advanced Math

Question 1
SAT (Digital)APConcept PracticeHard
1 mark

In the equation 64x2+bx+25=064x^2 + bx + 25 = 064x2+bx+25=0, bbb is a constant. For which of the following values of bbb will the equation have more than one real solution?

Question 2
SAT (Digital)APConcept PracticeHard
1 mark

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

Question 3
SAT (Digital)APConcept PracticeHard
1 mark

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

The given function ppp models the population of Lowell ttt years after a census. Which of the following functions best models the population of Lowell mmm months after the census?

Question 4
SAT (Digital)APConcept PracticeMedium
1 mark

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

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Question 5
SAT (Digital)APConcept PracticeEasy
1 mark

Which expression is equivalent to 12x3−5x312x^3 - 5x^312x3−5x3?

Question 6
SAT (Digital)APConcept PracticeMedium
1 mark

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

Question 7
SAT (Digital)APConcept PracticeEasy
1 mark

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

The given equation relates the positive numbers ccc, ppp, and kkk. Which equation correctly expresses ccc in terms of ppp and kkk?

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Question 8
SAT (Digital)APConcept PracticeHard
1 mark

The function ggg is defined by g(x)=x(x−2)(x+6)2g(x) = x(x-2)(x+6)^2g(x)=x(x−2)(x+6)2. The value of g(7−w)g(7-w)g(7−w) is 000, where www is a constant. What is the sum of all possible values of www?

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