REVIEW Algebra 1 Fall Final

Transcription

1 1. (A.5A) Solve: 4(x 8) = 4x (7x 3) A. x = 29/7 B. x = 5 C. x = no solution D. x = 5 Use the graph below to answer questions # (A.2E) Write the equation of a line passing through ( 5, 7)that is parallel to the line y = 1 5 x + 7 A. y = 1 5 x + 8 B. y = 1 5 x 7 C. y = 5x 18 D. y = 5x 9 7. (A.2F) Write the equation of a line passing through ( 4,6)that is perpendicular to y = 4x + 5 A. y = 4x + 22 B. y = 1 4 x + 7 C. y = 4x (A.2A) Find the range of the function. A. y 2 B. x > 4 C. y 4 D. y 4 3. (A.2A) Find the domain. A. y 4 B. x 2 C. y 4 D. x 2 4. (A.2C) Natasha and her friends go out for ice cream. They decide to create their own ice cream, which costs $1.60 plus 8 cents per topping. If x represents the number of toppings on the ice cream, then which equation describes y, the total cost for the ice cream? D. y = 1 4 x (A.2G) Write the equation and find the slope of the line on the graph below. A. x = 2, slope is 0. B. y = 2, slope is 0. C. x = 2, slope is undefined. D. y = 2, slope is undefined. 9. (A.2G) Write the equation and find the slope of the line graphed below. A. y = ( )x B. y = x C. y = x D. y = 8x (A.2C) Which equation best describes the graph? A. y = 2x + 3 B. y = 2x + 3 C. y = 1 2 x + 3 D. y = 1 2 x + 3 A. x = 3, slope is 0. B. y = 3, slope is 0. C. x = 3, slope is undefined. D. y = 3, slope is undefined.

2 10. (A.2H) A pizza shop needs at least 600 lbs of cheese per month. The storage freezer contains 23 lbs of cheese on the first day of the month. If cheese is bought in 50 lb bags, which inequality can be used to calculate how many bags of cheese, x, are needed for the month? A x 600 B x > 600 C x < 600 D x (A.2H) Which inequality can be represented by the graph below? 13. (A.2I) At a family reunion it was decided that as a group adults and children wanted to attend a play performance. When Mary bought 42 tickets, the bill was $245. If the adult tickets, A, were $8 and the children tickets, C, were $4, which system best represents this situation? A. 8A+ 4C = 42 A + C = 245 B. A + C = 245 4A + 8C = 245 C. 8A + 4C =245 A + C = 42 D. A + C = 42 A + C = (A.2I) Write the system of equations from the table: x Y 1 Y A. y x + b B. x y b C. x + y b D. y x + b 12. (A.2I) Which pair of equations corresponds to the two lines in the graph? A. y = x + 1 y = 2x + 5 B. y = x 5 y = x + 5 C. y = x + 5 y = 3x + 1 A. y = 2x y = 1 x 2 B. y = x 3 y = 1 x 2 D. y = 2x + 5 y = 5x (A.3A) Determine the slope of the line that passes through the points on the graph below. C. y = x + 3 y = 1 2 x D. y = x 3 y = 1 2 x ( 3, 2) ( 2, 7) A. 9 B. 25 C. 1 9 D. 9

3 16. (A.3B) The table represents the height of Lake Ray Roberts over a 6 year period. x y (A.3F) Solve the following system using any method: x + 2y = 8 y = x 2 What is the rate of change of the lake as represented by the table? A. m = 1 36 B. m = 1 36 C. m = 36 D. m = (A.3D) Graph the inequality and determine which of the points are solutions. y < x 3 A. No solution B. Infinite solutions C. (2, 4) D. (4, 2) 20. (A.3H) The graph of the system of equations is shown below: y = 3x + 5 x = 1 A. none B. A and B only C. C and D only D. A, B, C, and D 18. (A.2H) You receive $40 in allowance each week. Each time you do not wipe off the table after dinner, your parents deduct 75 cents from your allowance. You want to purchase a song on I- tunes. Which inequality can be used to calculate how many times that you can forget to make your bed, b and have at least $12.50 left to afford the songs you want? Which point below is the solution set of the system of inequalities? y < 3x + 5 x 1 A. (1, 6) B. (1, 2) C. (2, 3) D. ( 2, 6) A b B b C b 1.5b D b 12.50

4 21. (A.4A) Which graph below has the strongest correlation coefficient? A. 23. (A.4C) The table below shows the number of books read by students during the summer and the student s grade they received the following semester. Find the equation for the line of best fit. Then use your equation to predict the grade of a student who read 7 books. Books Grade B. C A. 74 B. 80 C. 85 D (A.5C) A high school band held a bake sale. The number of muffins, m, sold was five less than twice the number of cookies, c, sold. The band sold a total of 49 muffins and cookies. How many muffins did the band sell? Record your answer 22. (A.4B) During the summer months the manager at a surf shop on the beach studies the monthly sales figures for his surf boards and notices a positive correlation to the number of drownings. He is horrified! He decides to immediately close down his surf shop. Do you agree with his decision? A. Yes, it appears the surf boards are causing the drownings. B. No, because correlation does not mean causation. C. Yes, because people who surf are the ones drowning. 25. (A.5C) What is the solution to the system of equations? A. ( 2, 3) B. ( 2, 3) C. (3, 2) D. (3, 2) D. No, because a correlation cannot be determined with this information given.

5 26. (A.5C) What is the solution to the system represented by the table below? x Y1 Y2 29. (A.3E) The slope and y-intercept of the graph of f were changed to make the graph of g, as shown below A. (0, 5) B. ( 3, 2) C. (2, 3) D. ( 3, 3) 27. (A.2I) Which pair of equations corresponds to the two lines in the graph? A. y = 1 3 x 2 y = 2x + 5 B. y = 2x + 5 y = 1 3 x 2 C. y = 2x + 5 y = 1 3 x 2 D. y = 3x 2 y = 1 2 x (A.2I) The band fundraiser is selling shirts, s and sweatshirts, w. Each shirt gives them a $2 profit and each sweatshirt gives them a $3 profit. They made a total profit of $370 and sold a total of 140 shirts and sweatshirts. Which pair of linear equations would determine the number of each item sold? A. w + s = 370 3w + 2s = 140 B. 2w + 3s = 370 s + w = 140 C. w + s = 140 w + s = 370 D. 3w + 2s = 370 s + w = 140 Which statement describes the changes that were made to the graph of g to make the graph of f? A. The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the graph of f. B. The slope was multiplied by 1, and the 2 y-intercept was increased by 5 to make the graph of f. C. The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the graph of f. D. The slope was multiplied by 1, and the 2 y-intercept was increased by 5 to make the graph of f. 30. (A.2E) Which line is parallel to y = 5x + 4 and passes through the point ( 4, 11)? A. y = 5x + 9 B. y = 1 x C. y = 5x 31 D. y = 5x (A.3C) Mr. Welch puts 4,000 put in his bank account every year for the family fun fund. Each month his family spends $400 having fun. How many months until Mr. Welch runs out of money in his fun fund account? A. 400 B. 10 C. 12 D. 0

6 32. (A.3C) What is the zero of the linear function graphed below? A. 4 B. 2 C. 0 D. Not here 34. (A.3D) A craftsman wants to spend less than $300 on supplies for making bracelets and necklaces. Supplies for 1 bracelet cost $4, and supplies for 1 necklace cost $9. This relationship is shown in the graph below. 33. (A.3D) Which coordinate pair is in the solution set for y > x A. (3, 1) B. (4, 2) C. ( 1, 1) D. (2, 2) The craftsman wants to make at least 10 more bracelets than necklaces. Which of the following is a reasonable solution? A. 20 necklaces and 40 bracelets B. 15 necklaces and 30 bracelets C. 25 necklaces and 15 bracelets D. 20 necklaces and 25 bracelets 35. (A.3G) The graph below shows the distance from Houston of two cars over a four hour period. Car A is driving toward Houston, and Car B is driving away from Houston. Based on the graph, at what point are the two cars the same distance from Houston? A. (20, 2) B. (0, 0) C. (2, 20) D. None of the above

7 ANSWER KEY Question Answer TEK 1. D 5A 2. D 2A 3. B 2C 4. C 2C 5. D 2C 6. A 2E 7. B 2F 8. C 2G 9. B 2G 10. A 2H 11. A 2H 12. B 2I 13. C 2I 14. C 2I 15. D 3A 16. C 3B 17. A 3D 18. A 2H 19. D 2H 20. C 3F 21. B 5C 22. B 3H 23. B 4A B 25. D 4C 26. C 5C 27. C 5C 28. D 5C 29. B 2I 30. A 2I 31. B 3E 32. B 2E 33. C 3C 34. B 3C 35. C 3D

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