SAT Algebra part 2 Mastering SAT Algebra : Part 2The 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. The figure above shows the graph of function h. If function f is defined by f(x) = h(2x) + 1, what is the value of f(−1)?write answers only in numbers 2. What is the remainder when 2x²+ 3x − 1 is divided by x − 4? 0 43 / (x-4) 16 / (x-1) 22 / (x-4) None 3. If the slope of line p shown in the figure above is , what is the value of b? -5 −8 -3 -7 None 4. What is the value of ƒ(−2) if ƒ(x) = \(\frac{x^{2}+4x-8}{x-2}\) 1 3 -3 -1 None 5. The table below represents the number of hours a student worked and the amount of money the student earned. Which equation represents the number of dollars, d, earned in terms of the number of hours, h, worked d = 6.25h + 20 d = 6.25h d = 5.25h + 28 d = 7h + 8.75 None 6. For i = √-1, which of the following complex numbers isequivalent to (10i − 4i²) - (7 − 3i)? 11 − 7i −3 + 13i -11 + 7i 3 − 13i None 7. Let [[x]] = the greatest integer that doesnot exceed x. If f(x) = x + [[x]], then ƒ(-3.2) = –6.2 –7.2 –7 –6.4 None 8. In the figure below, the slope of line ℓ1 is and the slope of line ℓ2 is 5/6. What is the distance from point A to point B? 3/2 7/2 5/3 4/5 None 9. Find an integer value of x that satisfiesboth of the inequalities below:|3x-5|<20 and|x+2| > 8write answer only in numbers 10. A statistics class investigated the cost of cheesecakes at different bakeries aroundtown. Given that P(x) was the cost, in dollars, of a cheesecake with diameter x,the function that best fit the data collected by the class was$$P(x)=\frac{1}{2}x^{2}-5x+20$$write answer only in Decimal numbers 11. Ben correctly solves a system of two linear equations and finds that thesystem has an infinite number of solutions. If one of the two equationsis 3(x + y) = 6 − x, which could be the other equation in this system? y=3/4 x +2 y = -4/3 x y = -4/3 x+2 y = -4/3 x +6 None 12. Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock X, which costs £ 22 per share and stock Y, which cost £ 35 per share. His budget for buying stock is no more than £ 4,500. He must buy at least 20 shares of Stock X and 15 shares of Stock Y. Which of the following represents the situation described if a is the number of shares of Stock X purchased and b is the number of shares of Stock Y purchased? 22a + 35b ≤ 4,500; a + b ≥ 100; a ≥ 20; b ≥ 15 22a + 35b ≤ 4,500; a + b ≤ 100; a ≥ 20; b ≥ 15 22a + 35b ≤ 4,500; a + b ≥ 100; a ≤ 20; b ≤ 15 22a + 35b ≤ 4,500; a + b ≤ 100; a ≤ 20; b ≤ 15 None 13. A function ƒ(x)is defined as follows:ƒ(x) = $$\left\{\begin{matrix}\frac{3}{x-2}\times x<0\\ |x|\times x\geq 0\end{matrix}\right.$$ What is the domain of ƒ(x)? All real numbers x ≤ 0 All real numbers except x = 2 or –2 x ≥ 0 All real numbers except x = 2 None 14. Which of the following is equivalent to the expression below, where p > 1 and q > 1?$$\frac{p^{\frac{1}{4}}q^{-3}}{p^{-2}q^{\frac{1}{2}}}$$ $$\frac{\sqrt[4]{p}}{\sqrt[3]{q^{2}}}$$ $$\frac{p^{2}\sqrt[4]{p}}{q^{3}\sqrt[]{q}}$$ $$\frac{p^{2}\sqrt[]{p}}{q^{3}\sqrt[]{q}}$$ $$\frac{\sqrt[4]{p}}{q^{3}\sqrt[]{q}}$$ None 15. Which of the following statements must be true for all values of x, y, and z ?I. (x + y) + z = (z + y) + xII. (x - y) - z = (z - y) - xIII. (x ÷ y) ÷ z = (z ÷ y) ÷ x I and II only I and III only II and III only I only None 16. If in the accompanying figure (p, q) lies on the graph of y = f(x) and 0 ≤ p ≤ 5, which of the following represents the set of corresponding values of q? 5 ≤ q ≤ 10 −5 ≤ q ≤ 10 −5 ≤ q ≤ 15 −5 ≤ q ≤ 5 None 17. Which of the following is an equation of a line that is perpendicular tothe line y = −2(x + 1)? y-2x=0 (x-1)/6 = y/3 x + 2y = 7 8x − 4y = 9 None 18. If \( ( \frac{1}{3} )^{x}=(81)^{x-1}\) 4/5 2/3 3/5 4/7 None 19. A line in the xy-plane contains the points A(c, 40) and B(5, 2c). If theline also contains the origin, what is a possible value of c? 15 13 10 14 None 20. In the accompanying figure, what is the y-coordinate of the point at which the line that is perpendicular to AB (not shown) at point M crosses the y-axis? Write answer only in numbers 21. Which of the following would be a solution to this equation? 21 - √x = 10Write answer only in numbers 22. The accompanying figure shows the graph of y = f(x). If function g is defined by g(x) = f(x + 4), then g(−1) could be 5 4 3 -2 None 23. If f(x) = x² + x – 42 and f(p – 1) = 0,what is a positive value of p?write answer only in numbers  24. If \(3^{2x}+3^{2x}+3^{2x}=(\frac{1}{3})^{x}\)What is the value of x? -1 -1/3 -1/2 -1/6 None 25. The graph of a line in the xy-plane passes through the points (5, –5)and (1, 3). The graph of a second line has a slope of 6 and passesthrough the point (–1, 15). If the two lines intersect at (p, q), what isthe value of p + q? 4 5 7 6 None 26. What are the solutions to the equation 5x²− 7x + 1 = 0 ? (5±√23)/14 (12±√43)/7 (3±√37)/11 (7±√29)/10 None 27. If x²− 3x − 10 = 0, for what value of x is this equation true given that x > 0?Write answer only in numbers 28. Which of the following is an equation of the line that is parallel to theline y − 4x = 0 and has the same y-intercept as the line y + 3 = x + 1? y = −(1/4) x − 2 y = 4x + 1 y = −(1/4) x + 1 y = 4x − 2 None 29. f(2n) = 4f(n) for all integers nf(3) = 9If function f satisfies the above two conditions for all positive integers n, which equation could represent function f ? f(n) = 2n + 3 f(n) = n² f(n) = 9 f(n) = 3n None 30. Which of the following is an equation of the line that contains diagonal AC of square ABCD shown in the accompanying figure? y = 2x + 1 y = −x + 1 y = x − 1 y =(1/2) x − 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.
