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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 PracticeEasy
1 mark

The function fff is defined by f(x)=4+xf(x) = 4 + \sqrt{x}f(x)=4+x​. What is the value of f(144)f(144)f(144)?

Question 6
SAT (Digital)APConcept PracticeMedium
1 mark

The expression 90y5−54y490y^5 - 54y^490y5−54y4 is equivalent to ry4(15y−9)ry^4(15y - 9)ry4(15y−9), where rrr is a constant. What is the value of rrr?

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Question 7
SAT (Digital)APConcept PracticeMedium
1 mark

(d−30)(d+30)−7=−7(d-30)(d+30)-7 = -7(d−30)(d+30)−7=−7

What is a solution to the given equation?

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Question 8
SAT (Digital)APConcept PracticeMedium
1 mark

Which of the following could be the equation of the graph shown in the *xy*-plane?

Question 9
SAT (Digital)APConcept PracticeEasy
1 mark

Which expression is equivalent to 20w−(4w+3w)20w-(4w+3w)20w−(4w+3w)?

Question 10
SAT (Digital)APConcept PracticeMedium
1 mark

A rectangle has a length of xxx units and a width of (x−15)(x-15)(x−15) units. If the rectangle has an area of 767676 square units, what is the value of xxx?