Georgia Online Formative Assessment Resource (GOFAR) 7th Grade VMath Algebra Review

Transcription

1 7th Grade VMath Algebra Review Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 17 )

2 1. If =, what is the value ofx? A) B) C) D) 2. Howard lives 4 miles from school and decides to ride his bike to school one day. He knows that he can ride his bik school? A)13 minutes B)18 minutes C)25 minutes D)32 minutes 3. In real life, Randy is 6 feet tall. In a full-length photograph of Randy, his entire body is 8 inches high, while his legs alone are 4 inches high. How long are his legs in real life? A) 36.0 inches B) 40.5 inches C) 72.0 inches D)128.0 inches 4. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (2 of 17 )

3 Write these numbers in order from smallest to largest. A)A B)B C)C D)D 5. The ratio of two numbers is 5 to 3, and the sum of these numbers is 32. What is the greater of the two numbers? A)12 B)15 C)18 D)20 6. The ratio of Kevin's age (k) to Maria's age (m) is the same as the ratio of one foot to the number of feet in a yard. What proportion could be written to summarize this information? A) B) C) D) Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (3 of 17 )

4 7. Given the proportion, which of these statements is always true? A)ax = by B)ay = bx C)a + b = x + y D)a2 + y2 = x2 + b2 8. In Mrs. William's algebra class, the ratio of girls to total number of students is to girls in the class?. What is the ratio of boys A) B) C) D) 9. Given the equation y = 2x + 3, how does changing the value of x, affect the value of y? A)As x increases by 1, y doubles. B)As x increases by 1, y increases by three. C)As x increases by 1, y increases by two. D)As x increases by 1, y doubles and increases by three. 10. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (4 of 17 )

5 Which equation corresponds to the given table of values? A)y = -x + 1 B)y = 2x + 14 C)y = -0.5x + 3 D)y = -0.5x For every dollar Oscar earns, he saves $0.12. Oscar has saved $ How much has Oscar earned? A)$41.28 B)$41.52 C)$ D)$4, When Mr. Lee purchased his car, it had a value of $15,000. In each of the first 2 years after he purchased it, its value decreased by 10% of the previous year's value, as shown in the table below. If the value of Mr. Lee's car continues to decrease each year by 10% of the previous year's value, what will be the value of his car 3 years after he purchased it? A)$1,215 B)$4,500 C)$10,500 D)$10, Evaluate 4r 22 if r = 20. A) 2 B)2 C)58 D)398 Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (5 of 17 )

6 14. Chale bought some packages of pens. He bought one package containing 5 pens and n packages containing 2 pens each. Which of the following expressions could be used to find the total number of pens that Chale bought? A)7n B)10n C)5n + 2 D)2n Which is the value of x in the equation? 2x 5 = 31 A)36 B)26 C)18 D) George is making hamburgers. The amount of meat needed for each hamburger is pound. Which expression shows how many hamburgers George can make from n pounds of meat? A) n B)n C)n + D)n 17. What type of graph has direct variation? A)linear B)quadratic C)decay D)cubic 18. Which expression BEST represents the phrase? three times a number plus seven A)3(7) - x Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (6 of 17 )

7 B)3(x) + 7 C)3(x) - 7 D)3(7) + x 19. Each day a town received (2x + 1) inches of rain. How much rain did the town receive in 4 days? A)(6x + 1) inches B)(6x + 5) inches C)(8x + 1) inches D)(8x + 4) inches 20. Apples cost 3x. Oranges cost (x + 6). Which expression represents the cost to buy one apple and five oranges? A)8x + 6 B)8x + 30 C)4x + 11 D)4x Clare has 5(2 + x) dollars. She wants to buy 3 shirts. Each shirt costs (x + 8) dollars. Which expression represents how much money Clare will have left after buying the shirts? A)2x - 14 B)2x + 2 C)4x + 2 D)2x Which phrase BEST represents the expression? A)subtract twenty-seven from the quotient of seventeen and a number B)subtract the quotient of seventeen and a number from twenty-seven C)divide seventeen minus twenty-seven by a number D)divide seventeen by a number minus twenty-seven 23. What is the value of (5x + 2y + 19) + (9y + 7x - 10)? A)26xy Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (7 of 17 )

8 B)23xy + 9 C)14x + 9y + 9 D)12x + 11y Solve for x. 5x = 64.8 A)4.8 B)5 C)5.1 D) Mr. Kitran's age is 4 years less than 3 times Henry's age. If Henry ishyears old, which of the following represents Mr. Kitran's age? A)3h+ 4 B)3h 4 C)4h+ 3 D)3(h 4) 26. In 1978, Franklin Jacobs high-jumped 7 feet 7 inches. Jacobs was 5 feet 8 inches tall. How many more inches did Jacobs jump than his height? A)3.00" B)21.25" C)23.25" D)25.25" 27. Billy deposits $800 in a local bank. He knows that, due to interest, his money will be increased by 5% at the end A)$840 B)$880 C)$882 D)$1, The ratio of balloons to guests at a party is 12:5. If there are 30 guests, how many balloons are there? A)12 Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (8 of 17 )

9 B)47 C)72 D) What is another way to represent 3%? A).3 B)3 C).03 D) 30. Which statement is true? A) B) C) D) 31. Salina wants to buy a dress that sells for $ If the sales tax is 8%, exactly how much will the dress cost? A)$44.00 B)$55.44 C)$59.40 D)$ A local department store had a Saturday special. It offered an additional 25% discount on shirts that were already marked down 50%. How much did Megan pay for a sweater that originally sold for $40? A)$10 B)$15 C)$20 D)$ Tom reports that the ratio of teachers to students at South High School and North High School is the same. There are 45 teachers and 720 students at South High School. How many teachers are there at North High School if there are 560 students? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (9 of 17 )

10 A)29 teachers B)35 teachers C)40 teachers D)58 teachers 34. Which algebraic expression gives the sum of 7 and one-half of x? A) B) C) D) 35. The perimeter of a child's rectangular play yard is 64 yards. The length and width of the yard are consecutive odd integers. If the length (x) is the longer of the two dimensions, what is the width of the play yard? A)15 yards B)17 yards C)31 yards D)33 yards <? < 3 5 A) B) C) D) 37. If y=, what happens to y as x increases? A)y increases B)y decreases C)y remains the same D)Not enough information is given. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (10 of 17 )

11 38. Solve for n: -n < 30 A)n < -30 B)n > -30 C)n < 29 D)n > The volleyball team is having a carwash fundraiser. The cost of each carwash is $5. They are also selling season ticket packages to their upcoming volleyball season for $40 each. The goal of the team is to make at least $2000 from the combined totals of the two fundraisers. So far, the team has sold 41 season ticket packages. How many cars must they wash in order to meet the team goal of $2000? A)728 cars. B)328 cars. C)72 cars. D)47 cars. 40. A rectangular quilt has a length of 6 feet and a width of 4 feet. The quilt is made up of x identical square pieces. The side length of each square piece is A)96 foot. How many square pieces, x, make up the quilt? B)6 C)12 D) Tanya s math teacher offers a 10-point bonus question on each test. The test has x questions worth 4 points each. If Tanya earns the 10 points for the bonus question, which inequality represents the number of questions she needs to answer correctly in order to score at least 80 points? A) B) C) D) 42. The figure shows a rectangular window with a length of 36 inches. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (11 of 17 )

12 Part A If the area of the rectangle is 432 square inches, what is the value of x? Show your work. Part B A builder resizes the window so that the perimeter of the window is less than 78 inches. Write an inequality and solve for x. Show your work. Part C The width of the window can be represented by. Prove that is equivalent to Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 43. Two shoe stores have sales. Store J: Buy one pair at the regular price and get 25% off the second pair. Store K: Buy two pairs at the regular price and get 50% off the third pair. Part A The regular price of a pair of shoes is the same amount at both stores. Steve buys 2 pairs of shoes on sale at Store J. Alejandra buys 3 pairs of shoes during the sale at Store K. Who paid a lower average price per pair? Explain your answer. Part B Store K sold 48 pairs of these shoes the month of the sale, which was 20% more than it sold during the previous month. How many pairs did Store K sell during the previous month? Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (12 of 17 )

13 44. There are two rides at a carnival with different rotation speeds. The first ride completes rotation in of a minute. The second ride completes rotation in of a minute. A third ride completes rotation in of a minute. Part A What is the unit rate of the first ride in rotations per minute? Show your work or explain your answer. Part B Is the second ride proportional to the third ride in rotations per minute? Show your work or explain your answer. Part C A fourth ride has a unit rate of 3 rotations per minute. What part of a rotation does the ride complete in of a minute? Show your work or explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 45. A teacher wants to buy notebooks for the classroom for the year. The table shows the cost of notebooks. Part A Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (13 of 17 )

14 What is the unit rate? Show your work or explain your answer. Part B A store is offering a 20% discount for customers who buy 70 or more notebooks. The teacher bought more than 70 notebooks and paid $ How many notebooks did the teacher buy? Show your work. Part C Based on the information in Part B, what is the unit rate for purchases of 70 or more notebooks? Explain your answer. Part D Based on the information in Part B, write an equation that gives the cost, y, of x notebooks when x is 70 or more. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 46. The figure shows a tile with a shaded square centered in a larger square. The side length of the larger square is x units. Part A Write a simplified expression, in terms of x, that represents the length of one side of the shaded square. Part B Using the expression for the side length you wrote in Part A, write an expression for the perimeter of the shaded square. Part C Simplify or expand the expression you wrote in Part B to write an equivalent expression. Part D Explain what your expressions in Parts B and C indicate about the relationship between the perimeter of the larger square and the perimeter of the smaller shaded square. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (14 of 17 )

15 Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 47. If a high school has 620 students and 41 of them play football, what is the best estimate of the percentage of stu football? A)4% B)7% C)15% D)66% Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (15 of 17 )

16 Answer Key : 1. C) 2. C)25 minutes 3. B) 40.5 inches 4. D)D 5. D)20 6. C) 7. B)ay = bx 8. A) 9. C)As x increases by 1, y increases by two. 10. D)y = -0.5x C)$ D)$10, C) D)2n C) B)n 17. A)linear 18. B)3(x) D)(8x + 4) inches 20. B)8x A)2x A)subtract twenty-seven from the quotient of seventeen and a number 23. D)12x + 11y C) B)3h C)23.25" 27. C)$ C) C).03 Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (16 of 17 )

17 30. C) 31. C)$ B)$ B)35 teachers 34. B) 35. A)15 yards 36. D) 37. B)y decreases 38. B)n > C)72 cars. 40. A) C) B)7% Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (17 of 17 )