SAT Algebra Mastering SAT Algebra : 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. Which could be the slope of a line that contains (1, 1) and passesbetween the points (0, 2) and (0, 3)? -1/2 0 -3/2 1/2 None 2. Two lines are graphed in the xy-plane. The lines have the same slope and different y-intercepts. How many solution(s) would the equations represented by this pair of lines have? Two None infinite One None 3. Which of the following represents an equation of the line that is the perpendicular bisector of the segment whose endpoints are (–2, 4) and (8, 4)? y = 5 y = 3 x = 3 x = 5 None 4. The graph of a line in the xy-plane has slope and contains the point(0, 7). The graph of a second line passes through the points (0, 0) and(–1, 3). If the two lines intersect at the point (r, s), what is the value ofr + s? -3 4 2 -2 None 5. The graph of the inequality y ≤ 2x will include all of the points inwhich quadrant? Quadrant II Quadrant IV Quadrant III Quadrant I None 6. In a certain greenhouse for plants, the Fahrenheit temperature, F, iscontrolled so that it does not vary from 79° by more than 7°. Which ofthe following best expresses the possible range in Fahrenheittemperatures of the greenhouse? |F – 7| > 79 |F – 79| > 7 |F-79|≤7 F – 7| ≤ 79 None 7. Which of the following expressions is equivalent to a(b - c)-b(a + c)-c(a - b) -2ac bc 2ac -2bc None 8. In the system of equations below, k and s are nonzero constants. If thesystem has no solutions, what is the value of k?$$\frac{1}{3}r +4s =1$$$$kr+6s=-5$$ 2/3 1/4 1/5 1/2 None 9. Let h be the function defined by h(x) = x + 4x. What is the value of $$h(\frac{-1}{2})$$ 0 1 2 3 None 10. Which of the following expressions is NOTequivalent to 3 [6a-3(1 - a) - 5(a + 1) 12a -24 24(a - 1/2) 24 (½ a - 1) 12 (a - 2) None 11. Which of the following expressions is equivalent to1/2(2a+3b+4c) - 3/2(b+2c)? a + c a - 3c a - c a + 5c None 12. Which of the following expressions is equivalent to2/4(a²-a-3) + 1/3 (a²+2a+6) a² - a a² a² + a a² - 1 None 13. Which of the following expressions is NOT equivalent to p - 2/3 (2p - 3q) - 1/3 (p + 4q) -2/3(p - q) -2/3 p + 2/3 q -2/3 (p + q) -1/3 (2p - 2q) None 14. The line y + 2x = b is perpendicular to a line that passes through theorigin. If the two lines intersect at the point (k + 2, 2k), what is thevalue of k? -2/3 2/5 2/3 -3/2 None 15. Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine the number of packages of hot dogs Roger must buy? 78 − p ≥ 8 8 + p ≥ 78 8p ≥ 78 p/8 ≥78 None 16. If 2 times an integer x is increased by 5, the result is always greater than 16 and less than 29. What is the least value of x? 6 5 4 8 None 17. A linear equation in the xy-plane intercepts the y-axis at − 3. For every 2 units the y-coordinate of the line increases, the x-coordinate decreases by 7 units. Which of the following is the correct equation for this line? y = (7/2)x +3 y=(3/2)x - 7 y= ( –2/7) x -3 y=(2/7)x-3 None 18. The equation a + b = 15 relates the number of hours, a, Kevinspends doing homework each week and the number of hours hespends watching television each week. If Kevin spends a total of15 hours doing homework and watching television each week,what does the variable b represent? The total number of hours spent doing homework and watching television each week The number of hours spent watching television for each hour spent doing homework The number of hours spent watching television each week The number of hours spent doing homework each week None 19. What is the slope of a line with the equation 5x + 4y = 2? 4/5 -1/2 -5/4 2 None 20. Which of the following is equivalent to the expression below?x²− 8x + 5 (x − 4)² − 11 (x − 4)² + 11 (x + 4)² − 11 (x + 4)² + 11 None 21. Which of the following equations represents a line in the xy-coordinate plane with ay-intercept of 6 and a slope of − 3? y = −3x + 6 y = 6x − 3 y = 6x + 3 y=3x+6 None 22. What value of x is a solution to the equation below?$$\frac{3x^{2}-27}{3x-9}=5$$write answer only in numbers 23. If \(\frac{|a+3|}{2}\) =1 and 2|b + 1| = 6, then |a + b| could equal any of thefollowing EXCEPT 1 5 3 7 None 24. For the equation 1/2 y= 2/3 x -4, what is the x-intercept? -4/3 3 -8 6 None 25. If |x − 16| ≤ 4 and |y – 6| ≤ 2, what is the greatest possible value of x − y?write answers only in number 26. An ocean depth finder shows the number of feet in the depth of waterat a certain place. The difference between d, the actual depth of thewater, and the depth finder reading, x, is |d − x| and must be less thanor equal to 0.05d. If the depth finder reading is 620 feet, what is themaximum value of the actual depth of the water, to the nearest foot?write answers only in number 27. The lines y = ax + b and y = bx + a are graphed in the xy-plane. If a andb are non-zero constants and a + b = 0, which statement must be true? The lines have the same x-intercept. The lines intersect at right angles The lines are parallel. The lines have the same y-intercept. None 28. For what value of k does the system of equations below have nosolution?4x + 6y = 12y = 8 − kx 2/3 0 4 -3/2 None 29. what is the value of $$\frac{7\div (q)^{2}\times 2}{2p}\times \frac{-p+6q-r}{-q}$$if p =4, q= 1/2 and r = 2? 43 40 42 22 None 30. According to market research, the number of magazine subscriptionsthat can be sold can be estimated using the function$$n(p)=\frac{5,000}{4p-k}$$where n is the number of thousands of subscriptions sold, p is the pricein euros for each individual subscription, and k is some constant. If250,000 subscriptions were sold at €15 for each subscription, howmany subscriptions could be sold if the price were set at €20 for eachsubscription? 50,000 75,000 125,000 100,000 None 31. Which of the following is equivalent to 10 + 2(x − 7)? 2x + 24 2x + 3 2x − 4 −14x + 10 None 32. If the function k is defined by k(h) = (h + 1)2, then k(x − 2) =x²-x x²-2x+1 x²-x x²-2x x²-2x-1 None 33. Which ordered pair (x, y) satisfies the system of equationsshown below?3x - (y/3) = 21x = y+7 (7, 0) (0, −7) (9, −16) (4, 27) None 34. If |x| ≤ 2 and |y| ≤ 1, then what is the least possible value of x − y? -2 -1 -3 0 None 35. What is the slope of the line 2(x + 2y) = 0? 1/2 -2 0 -1/2 None 36. If the below system of equations has infinitely many solutions, what isthe value of p/q?6x+py = 21qx+5y=7 12/5 15/3 15/2 12/7 None 37. In 2014, the United States Postal Service charged €0.48 to mail a first-class letter weighing up to 1 oz. and €0.21 for each additional ounce.Based on these rates, which function would determine the cost, indollars, c(z), of mailing a first-class letter weighing z ounces where z isan integer greater than 1? c(z) = 0.48z + 0.21 c(z) = 0.21(z − 1) + 0.48 c(z) = 0.48(z − 1) + 0.21 c(z) = 0.21z + 0.48 None 38. In the xy-plane, which of these linear equations has a y-intercept of 12? 12 + y = 4x 12y = 4x − 1 y = 4x − 12 y = 4x + 12 None 39. (4 − a²) − (2a² − 6)Which of the following expressions is equivalent to the oneabove? -3a²+10 a²-+10 a² -2 -3a²-2 None 40. If point E(5, h) is on the line that contains A(0, 1) and B(−2, −1), whatis the value of h? 0 -1 1 6 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.