SAT Advanced Math part1 Mastering Advanced Math: SAT Test - part 1The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experiencePlease note that answers cannot be deselected once chosen in the quiz, so make your choices carefully for an optimal testing experience.Each question is meticulously crafted to mirror the complexity and diversity of problem-solving you'll encounter in the SAT.Use it as a targeted practice tool to identify and address specific areas of improvement.Track your progress and see your proficiency grow. 1. If the zeros of function f defined above are represented by r, s, and t,what is the value of the sum r + s + t? 3/5 17/3 5/3 8 None 2. If y is not equal to 0, what is the value of \(\frac{6(2y)^{-2}}{(3y)^{-2}}\)? 37/2 227/2 337/2 27/2 None 3. $$\frac{16a^{4}-81b^{4}}{8a^{3}+12a^{2}b+18ab^{2}+27b^{3}}$$Which of the following expressions is equivalent to the expressionabove? 2a+3b 4a²b - 9ab² 4a²b + 9ab²− a²b² 2a-3b None 4. In how many different points does the graph of the function f(x) = x³−2x²+ x − 2 intersect the x-axis? 0 2 1 3 None 5. \(\frac{\sqrt[3]{a^{8}}}{(\sqrt{a})^{3}}=a^{x}\), where a>1In the equation above, what is the value of x? 7/6 7/8 7/2 7/3 None 6. Which of the following functions have zeros −1, 1, and 4? f(x) = (x + 4)(1 − x ² ) f(x) = (x − 4)(1 + x ²) f(x) = (x − 1)( x² + 3x − 4) f(x) = (x − 1)( x² − 3x − 4) None 7. Which expression is equivalent to \(\frac{(2xy)^{-2}}{4y^{-5}}\) $$-\frac{y^{3}}{x^{2}}$$ $$-\frac{y^{3}}{16x^{2}}$$ $$\frac{y^{3}}{16x^{2}}$$ $$\frac{y^{3}}{x^{2}}$$ None 8. $$\frac{t}{t-3}-\frac{t-2}{2}=\frac{5t-3}{4t-12}$$If x and y are solutions of the equation above and y > x, what is thevalue of y − x? 1/3 3/2 1/2 3/5 None 9. $$g(x)=a\sqrt{41-x^{2}}$$Function g is defined by the equation above where a is a nonzero realconstant. If g(2t)=√5, where i =√-1 , what is the value of a? 1/2 1/3 1/4 1/5 None 10. If \(64^{2n+1}=16^{4n-1}\), what is the value of n? 7/3 7/2 5/2 5/3 None 11. x³+ 150 = 6x²+ 25xWhat is the sum of all values of x that satisfy the equation above?write your answer only in number 12. $$\frac{y^{3}+3y^{2}-y-3}{y^{2}+4y+3}$$The expression above is equivalent to y-1 (y-1)/(y+3) y²-1 y+1 None 13. Which of the following is equivalent to 2i²+ 3i³? $$2-3i$$ $$2+3i$$ $$-2-3i$$ $-2+3i$$ None 14. Which equation(s) represent(s) the graph above?I. y = (x + 2)(x²− 4x − 12)II. y = (x − 3)(x²+ x − 2)III. y = (x − 1)(x²− 5x − 6) II and III I only I and II II only None 15. Which of the following is equivalent to 2i(xi − 4i²)? 2x − 8i −6xi −8xi −2x + 8i None 16. If m and p are positive integers and\((2\sqrt{2})^{m}=32^{p},\, what \, is\, the \, value \, of\, \frac{p}{m}\) 7/10 9/10 3/10 1/10 None 17. If (x − yi) + (a + bi) = 2x and i = √-1, then (x + yi)(a + bi) = 4x²+y² x²+y² x²-y² 5x² None 18. If x = 2i, y = −4, z = 3i, and i = √-1 then √x³yz = -4√6 -24 4√6i 24i None 19. If x = 3i, y = 2i, z = m + i, and i =√-1 , then the expression xy²z = −12 − 12mi 12 − 12mi −6 − 6mi 6 − 6mi None 20. $$p(t)=t^{5}-3t^{4}-kt+7k^{2}$$In the polynomial function above, k is a nonzero constant. If p(t) isdivisible by t − 3, what is the value of k? 3/7 6/7 5/7 4/7 None 21. When resistors R1and R2 are connected in a parallel electric circuit,the total resistance is\(\frac{1}{\frac{1}{R_{1}}+\frac{1}{R_{2}}}\) This fraction is equivalent to $$\frac{R_{1}}{R_{2}}+\frac{R_{2}}{R_{1}}$$ $$\frac{R_{1}+R_{2}}{R_{1}R_{2}}$$ $$R_{1}+R_{2}$$ $$\frac{R_{1}R_{2}}{R_{1}+R_{2}}$$ None 22. If \( k=8\sqrt{2}\, and\, \frac{1}{2}k=\sqrt{3h}\) what is the value of h? 32/9 32/5 32/7 32/3 None 23. $$\frac{3}{2}=\frac{-(5m-3)}{3m}+\frac{7}{12m}$$What is the solution for m in the equation above? 1/3 1/5 1/4 1/2 None 24. Which of the following is equal to (13 + 17i)(4 − 9i)? 116 52 − 126i –12 115 − 89i None 25. $$i^{13}+i^{18}+i^{31}+n=0$$In the equation above, what is the value of n in simplest form? 1 i -1 -i None 26. Which of the following is equal to for all values of \(b^{\frac{1}{2}}\) for which the expression is defined? $$\frac{1}{2}b$$ $$\frac{b}{b^{2}}$$ $$\frac{\sqrt{b}}{b}$$ $$\frac{1}{\sqrt{2b}}$$ None 27. A meteorologist estimates how long a passing storm will last by usingthe function\(t(d)=0.08d^{\frac{3}{2}}\) where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles 7/4 9/4 5/4 6/7 None 28. $$\frac{k}{6}+\frac{3(1-k)}4{}=\frac{k-5}{2}$$What is the solution for k in the equation above? write your answer only in number 29. If \(4^{y}+4^{y}+4^{y}+4^{y}=16^{x}\), then y 2x-1 x-2 2x+1 x+2 None 30. Which of the following is equal to (x + i)²− (x − i)²? 4xi -2+4xi -2 0 None 31. The expression below is equivalent to$$\frac{x^{2}+9x-22}{x^{2}-121} \div (2-x)$$ x-11 11-x 1/(11-x) 1/(x-11) None 32. The polynomial \(x^{3}-2x^{2}-9x+18\) is equivalent to (x − 2)(x + 2)(x − 3) (x − 2)(x − 3)(x + 3) (x − 9)(x − 2)² (x + 3)(x − 2)² None 33. If \(g(x)=(x\sqrt{1-x})^{2}\), what is g(10)? -30 900i 30i -900 None 34. f(x) = x³+ 5x²− 4x − 20How many of the zeros of function f defined by the equation above arelocated in the interval −4 ≤ x ≤ 4?write your answer only in number 35. If \(\sqrt{m} = 2p\; then\: m^{\frac{3}{2}}=\) $$8p³$$ $$\frac{p}{3}$$ $$2p²$$ $$6p³$$ None 36. If n is a negative integer, which statement is always true? $$6n^{-1}<4n^{-1}$$ $$4n^{-1}>6n^{-2}$$ $$\frac{n}{4}>-6n^{-1}$$ $$6n^{-2}<4n^{-1}$$ None 37. The expression below is equivalent to$$\frac{\frac{x-y}{y}}{y^{-1}-x^{-1}}$$ 1/y x y -x/y None 38. When \(x^{-1}-1\) is divided by x − 1, the quotient is -1 1/(x-1)² 1/x² -1/x None 39. Function g is defined by the equation below. If g (−8) = 375, what isthe value of a?$$g(x)=a\sqrt{a(1-x)}$$ 25 75 625 125 None 40. What is the value of \(\left ( \frac{1}{2}+i\sqrt{5} \right )\left ( \frac{1}{2}-i\sqrt{5} \right )\) 20/7 22/3 21/4 21/2 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.