8th Grade Summer Assignment

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1 East-West 8th Grade Summer Assignment Math/Ms.Warren Name: Date:. What percent of 5 is 0? 8. Linda paid $48 for a jacket that was on sale for 5% of the original price. What was the original price of the jacket?. If 80% of a number is 4, what is the number? A. $60 B. $7 C. $96 D. $9. A basketball player made 9 out of foul shots. What percent of his foul shots did he make? 9. A baseball player successfully hits the ball 0% of the time. If he gets 450 chances to hit the ball in a season, what is the total number of times that he will successfully hit the ball? 4. In a class of 4 students, 5% of them failed a test. How many students failed the test? A. 0 B. 5 C. 40 D In a recent town election,,860 people voted for either candidate A or candidate B for the position of supervisor. If candidate A received 55% of the votes, how many votes did candidate B receive? 0. A scale drawing of New York State,.5 centimeters represents 0 kilometers. How many kilometers are represented by 0 centimeters? A. 86 B. 87 C.,0 D.,805. In a class there are boys and 4 girls. What is the ratio of the number of girls in the class to the number of pupils in the class? 6. The Edison Lightbulb Company tests 5% of their daily production of lightbulbs. If 500 bulbs were tested on Tuesday, what was the total number of bulbs produced that day? A. 5 B.,000 C. 0,000 D. 00, A. 4 B. C. 5 D. 4. A 50-milliliter salt solution contains 4 milliliters of salt. How many milliliters of salt will a 75-milliliter solution of the same strength contain? 7. The world population was 4. billion people in 98. The population in 999 reached 6 billion. Find the percent of change from 98 to A machine can manufacture 800 pencils in 0 minutes. At this same rate, how many minutes will it take to manufacture 000 pencils? page

2 4. If 0 cubic centimeters of blood contains. grams of hemoglobin, how many grams of hemoglobin would 5 cubic centimeters of the same blood contain? 7. A bicyclist travels 6 miles, in 0 minutes. Which expression does not represent the rate of speed of the bicyclist? A. 0 miles per minute B. minutes per mile C. 8 miles per hour D. 0 miles per hour 5. There are players on a basketball team. Before a game, both ankles of each player are taped. Each roll of tape will tape three ankles. Which product can be used to determine the number of rolls of tape needed to tape the players ankles? A. players player ankles ankles roll B. players ankles rolls ankle C. players ankles player roll ankles D. players roll ankles 8. On a certain day in Toronto, Canada, the temperature was 5 Celsius (C). Using the formula F = 5 9 C +, Peter converts this temperature to degrees Fahrenheit (F). Which temperature represents 5 C in degrees Fahrenheit? A. 9 B. 5 C. 59 D If a machine that prints designs on T-shirts prints 500 shirts in hours, how many hours will it take to print designs on,800 shirts? A. 6 B. 9.8 C. 0.8 D. 6. The accompanying circle represents the 400 students at Central High School, and the shaded portion represents the freshman class. What is the total number of students in the freshman class? 0. A cake recipe calls for.5 cups of milk and cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct? A..75 B. C..5 D..5. Perform the indicated operation: 6(a 7) State the name of the property used. East-West page 8th Grade Summer Assignment

3 . Debbie solved the linear equation (x + 4) = 6 as follows: 7. Which is the additive inverse of a? A. a B. a C. a D What is the multiplicative inverse of 5? She made an error between lines 9. What is the multiplicative inverse of x? A. and B. and C. and 4 D. 4 and 5 A. B. x C. x D. x. The expression 5 [ + 6 ( )] simplifies to 0. What is the reciprocal of 7? A. 45 B. C. 6 D. 9. The reciprocal of 5 is 4. What is the additive inverse of? A. B. 5 C. 5 D. 5 A. B. C. D.. Which equation illustrates the multiplicative inverse property? 5. Which equation illustrates the additive inverse property? A. x = x B. x x = C. 0 = 0 D. x = x A. a + ( a) = 0 B. a + 0 = a C. a ( a) = D. a a =. If x represents the smallest of three consecutive even integers, then the largest would be represented by 6. What is the additive inverse of 5a? A. x + B. x + C. x + 4 D. x + 6 East-West page 8th Grade Summer Assignment

4 4. Maria is twice as old as Sue. If x represents Sue s age, which expression represents how old Maria will be in three years? A. x B. x + C. x D. x John s father weighs 0 pounds more than twice what John weighs. If John s weight is represented by y, then his father s weight may be represented by A. y B. y 0 C. y + 0 D. y If n + 7 represents an even number, the next larger even number is represented by A. n + 8 B. n + 9 C. 0n + 7 D. n Dawn is years older than her sister Sara. If Dawn s age is represented by x, which expression represents Sara s age? A. x B. x + C. x D. x 6. If n + 4 represents a positive odd integer, the next larger consecutive positive odd integer is represented by A. (n + 4) B. n + C. n + 5 D. n If the number represented by n is an odd integer, which expression represents the next greater odd integer? A. n 5 B. n C. n D. n + 7. Using the letter n to represent a number, express four less than twice this number in terms of n. 4. The sum of Scott s age and Greg s age is years. If Greg s age is represented by g, Scott s age is represented by 8. If x represents an even integer, then the next consecutive even integer would be represented by A. g B. g C. g + D. g A. x + B. x + C. x D. x + 9. If n + 8 represents an odd integer, the next larger odd integer is represented by A. n + 0 B. n + 9 C. n + 7 D. n If x represents a given number, the expression 5 less than twice the given number is written as A. 5 < x B. 5 < + x C. x 5 D. 5 x East-West page 4 8th Grade Summer Assignment

5 45. Which verbal expression can be represented by (x 5)? A. 5 less than times x 49. Sue bought a picnic table on sale for 50% off the original price. The store charged her 0% tax and her final cost was $.00. What was the original price of the picnic table? B. multiplied by x less than 5 C. twice the difference of x and 5 D. the product of and x, decreased by A boy got 50% of the questions on a test correct. If he had 0 questions correct out of the first, and of the remaining questions correct, how many questions were on the test? 46. Mr. Stanton asked his students to write an algebraic expression on a piece of paper. He chose four students to go to the board and write their expression. Robert wrote: 4(x + 5) 7 Meredith wrote: y 7 + z Steven wrote: 9w + = 0 Cynthia wrote: = 4 A. 6 B. 4 C. 6 D The formula for changing Celsius (C) temperature to Fahrenheit (F) temperature is F = 9 5 C +. Calculate, to the nearest degree, the Fahrenheit temperature when the Celsius temperature is 8. Which student wrote an algebraic expression? A. Robert B. Meredith C. Steven D. Cynthia 5. A candy store sells 8-pound bags of mixed hazelnuts and cashews. If c pounds of cashews are in a bag, the price p of the bag can be found using the formula p =.59c +.7(8 c). If one bag is priced at $8., how many pounds of cashews does it contain? 47. On February 8, from 9 a.m. until p.m., the temperature rose from 4 F to 6 F. What was the total increase in temperature during this time period? A. 50 B. 6 C. D. 5. Sara s telephone service costs $ per month plus $0.5 for each local call, and long-distance calls are extra. Last month, Sara s bill was $6.64, and it included $6.4 in long-distance charges. How many local calls did she make? 48. A painting that regularly sells for a price of $55 is on sale for 0% off. The sales tax on the painting is 7%. Will the final total cost of the painting differ depending on whether the salesperson deducts the discount before adding the sales tax or takes the discount after computing the sum of the original price and the sales tax on $55? 54. Mario paid $44.5 in taxi fare from the hotel to the airport. The cab charged $.5 for the first mile plus $.50 for each additional mile. How many miles was it from the hotel to the airport? A. 0 B. C. D. East-West page 5 8th Grade Summer Assignment

6 55. What is the speed, in meters per second, of a paper airplane that flies 4 meters in 6 seconds? 60. Solve for x:.5x = 0 A. 44 B. 0 C. 8 D Solve for x: 0.6x +.5 = Find three consecutive even integers such that the sum of the smallest integer and twice the second is more than the third. [Only an algebraic solution will be accepted.] 6. Solve for x: x = 6. Solve for x: 5x + 7 = x 57. Find the sum of 5x x + 5 and x + 6x Solve for x: 5x (x + ) = Which binomial is equivalent to (x ) (x )? 65. Solve for x: 0.06x + 0.x = 7. A. x 7 B. 5x 7 C. x + 5 D. x Solve for x: ( x) = 8(x ) 59. From 7x 4x subtract 5x + x. 67. Solve for x: 6(x ) 4x = 6 East-West page 6 8th Grade Summer Assignment

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