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Name: ____________________________________ Algebra I - Q2 Castle Learning Review Quiz This assignment will count as a 30-point quiz grade in your second quarter average. It must be completed by 11:59 PM on Sunday, January 31. 1. A. B. C. D. Solve for x: 8x + 9 = 5x + 6 The sum of two numbers is 47, and their difference is 15. What is the larger number? A. 16 B. 31 C. 32 D. 36 −1 1 5 −3/13 2. Solve the following system of equations algebraically: 2y = 8 − x y − 2x = −1 The solution is x = , y = 3. Solve the following system of equations algebraically or graphically, and check: 3y = 2x − 6 x + y = 8 Answer: x = 6. 7. Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip cookie cost? A. $0.50 B. $0.75 C. $1.00 D. $2.00 8. , y = 4. The sophomore class at South High School raised $800 from the sale of tickets to a dance. Tickets sold for $1.50 in advance, and $2.00 at the door. If a total of 475 tickets were sold, the number of tickets sold at the door was . Danielle has twenty-seven coins consisting of quarters and dimes. The sum of money Danielle has is $4.80. Write a system of equations that could be solved to determine how many of each coin Danielle has. A. B. 5. Solve the following system of equations for x: 2x + y = 10 3x = y A. B. C. D. 6 2 -4 4 C. D. 9. If x + ay = b, then y equals 11. Which diagram represents a relation in which each member of the domain corresponds to only one member of its range? A. B. C. b - x - a A. D. 10. The equation P = 2L + 2W is equivalent to A. B. B. C. D. L = P – W C. D. 12. Which graph does not represent a function 14. The diagram below represents a relation. of x? A. List the ordered pairs in the relation and tell whether or not the relation is also a function. A. {(1, 4), (2, 4), (3, 5)}; the relation is a function B. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is not a function C. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is a function D. {(1, 4), (2, 4), (3, 5)}; the relation is not a function 15. The accompanying graph represents the yearly cost of playing 0 to 5 games of golf at the Shadybrook Golf Course. B. C. D. 13. Which set of ordered pairs does not represent a function? A. {(3,-2), (-2,3), (4,-1), (-1,4)} B. {(3,-2), (3,-4), (4,-1), (4,-3)} C. {(3,-2), (4,-3), (5,-4), (6,-5)} D. {(3,-2), (5,-2), (4,-2), (-1,-2)} The total cost of joining the club and playing 10 games during the year is $ . 16. Which of the following diagrams shows a mapping of a relation from set A to set B that is not a function? A. B. C. D. 17. A. B. C. D. Andy is 6 feet tall. If 1 inch equals 2.54 centimeters, how tall is Andy, to the nearest centimeter? 15 30 183 213 Figure 1 The table below represents the number of hours a student worked and the amount of money the student earned. 18. [Refer to figure 1] What equation correctly represents the number of dollars, d, earned in terms of the number of hours, h, worked? A. h = 6.25d B. d = 6.25h C. h = 50 + 6.25d D. d = 50 + 6.25h 19. 20. What is the equation of line L in the graph below? Find the explicit formula for the following sequence. 1, 3, 5, 7, 9 A. B. C. D. an = 2n − 1 an = n + 2 an = 2n + 1 an = 2n + 2 A. B. C. D. 21. y = 4 x = 4 y = x + 4 x = y + 4 An equation whose graph has a slope of −2 and a y-intercept of 3 is A. x = −2y + 3 B. y = −2x + 3 C. x = 3y − 2 D. y = 3x − 2 22. Which equation represents the line whose slope is −2 and that passes through point (0, 3)? A. y = −2x + 3 B. y = −2x − 3 C. y = 3x − 2 D. y = 2x + 3 23. 25. The table of ordered pairs represents a function. Identify the function rule for the following table: What is the slope of the line whose equation is 3x + y = 4? A. 3x B. -3 C. 3 D. 4 A. B. C. D. 24. Fill in the missing values for the equation of the line from the following graph. Express the values as decimal numbers, rounded to the nearest tenth if needed. y = 2x + 1 y = 10x - 5 y = 5x + 5 y = 5x - 5 26. Find the recursive formula for the following sequence: 3, 7, 13, 21, 31 A. a1 = 3, an = an-1 + (n + 2) B. C. D. 27. a1 = 3, an = an-1 + n2 a1 = 3, an = an-1 + 2n a1 = 3, an = 2(an-1) + 1 What is the common difference, d, for the following sequence? 9, 6.5, 4, 1.5, … A. 1.5 B. 2 C. −2.5 D. −3 y = mx + b y = 28. x + What is the common difference, d, in the arithmetic sequence defined by the formula an = 2n + 1? A. 1 B. 2 C. n D. 2n 29. What is the common ratio, r, for the following sequence? A. B. 7 C. D. 4 30. Find the 10th term of the sequence: 3, 6, 12, … A. 512 B. 768 C. 1024 D. 1536