7th Grade Winter Packet

Transcription

1 7th Grade Winter Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Simplify the expression a c. 47 b d Pablo earns money by caring for turtles while people are on vacation. Pablo earns $25 per week per pet. The table shows the number of turtles cared for per week during July. Simplify the expression to find out how much Pablo earned for the month of July. Week Pets Week 1 4 Week 2 2 Week 3 2 Week 4 2 a. $35 c. $450 b. $250 d. $ Tell which property is represented. a. Associative Property c. Distributive Property b. Commutative Property d. Identity Property 4. Use the Distributive Property to simplify. a. c. b. d. 5. Evaluate n + 13 for n = 24. a. 11 c. 312 b. 37 d. 24n A fence has a total of 650 planks. Violeta paints n planks each day. Write an algebraic expression for how many days it will take Violeta to finish painting the fence. a. c. 650n b. d. 650 n 7. Write an expression for the perimeter of the trapezoid. Then, simplify the expression. x 2a 2a y a. ; c. ; b. ; d. ; 8. Jaime makes t dollars per hour installing computers. The table shows the number of hours he worked each week in July. Write and simplify an expression for the amount of money Jaime earned in July. Evaluate the expression for. Hours Jaime Worked

2 Week Hours a. ; ; b. ; ; c. ; ; d. ; ; 9. Graph the integer 4 and its opposite on a number line. a. c b. d Evaluate for 46 and 34. a. 12 c. 80 b. 80 d The income from the Spanish Club s bake sale was $240. Expenses for the sale totaled $40. Use integer addition to find the total profit or loss from the bake sale. a. profit of $280 c. profit of $240 b. profit of $200 d. loss of $ A submarine descends to a depth of 480 meters below sea level. Write an integer to represent this situation. Then find the additive inverse of the integer, and tell what it represents. a. Integer: +480 Additive Inverse: 480 The additive inverse represents the distance, in meters, that the submarine would need to rise to return to sea level. b. Integer: 480 Additive Inverse: +480 The additive inverse represents the distance, in meters, that the submarine would need to descend to return to sea level. c. Integer: 480 Additive Inverse: +480 The additive inverse represents the distance, in meters, that the submarine would need to rise to return to sea level. d. Integer: +480 Additive Inverse: 480 The additive inverse represents the distance, in meters, that the submarine would need to descend to return to sea level. 13. Evaluate for 13 and 50. a. 37 c. 63 b. 63 d Find the quotient a. 128 c. 132 b. 65 d. 65

3 15. The range of a set of scores is 23, and the lowest score is 37. Write and solve an equation to find the highest score. (Hint: In a data set, the range is the difference between the highest and the lowest values.) a. The highest score is 60. b. The highest score is 14. c. The highest score is 83. d. The highest score is Write the fraction as a decimal. If necessary, round your answer to the nearest hundredth. a c b d Write the decimal 0.51 as a fraction in simplest form. a. 1 c b. 1 d Write the decimal 1.71 as a mixed number in simplest form. a. 71 c b. 1 7 d During a review game, Mr. Pai s class correctly answered 69 questions on the first try. If there were 72 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest hundredth. a c b d Write as a decimal. a c b d Compare the decimals 0.22?_ Write < or >. a. < b. > 22. Order 0.985, 0.95, 3 from least to greatest. 4 a. 0.95, 0.985, 3 c. 3, 0.95, b , 3, 0.95 d , 0.95, The table shows the different bids Kevin has received for fixing the sprinklers and trimming the bushes and trees. What is the average bid? Bid Number Bid Amount Bid 1 $ Bid 2 $ Bid 3 $ Bid 4 $ Bid 5 $ a. $ c. $ b. $1, d. $202.30

4 24. Solve. a. y = 19.2 c. y = b. y = d. y = Solve. a. s = 4.3 c. s = 4.3 b. s = 43 d. s = Multiply. Express your answer in simplest form a c. 7 3 b d Marcus hikes at a rate of 2 miles per hour. If he hikes for 6 hours, how many miles will he hike? a. 12 miles c miles b. 14 miles d. 8 miles 28. Divide. Express your answer in simplest form a. 36 c b d Ignacio is going on vacation. He needs to drive 579 miles in 8 hours. What is his average speed in miles per hour? a. 63 miles per hour c. 67 miles per hour b. 65 miles per hour d. 69 miles per hour 30. Tony and Tiffany collect semi-precious stones. At the Rockhound Hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At The Solid Rock Shop, Tony paid $19 for 3 pounds of the same type of stone. Who made the better buy? a. Tony b. Tiffany 31. Determine whether the ratios and are proportional. a. proportional b. not proportional 32. The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend. How many juice boxes will they need if they are expecting 12 children? a. 22 juice boxes c. 44 juice boxes b. 264 juice boxes d. 132 juice boxes 33. Tell whether the rectangles are similar. If so, write the similarity ratio and a similarity statement. The measures of the corresponding angles are equal, and the opposite sides are equal. M 6 9 N R S P O U T a. similarity ratio:

5 Speed rectangle MNOP ~ rectangle RSTU b. The rectangles are not similar. c. similarity ratio: rectangle MNOP ~ rectangle RSTU d. similarity ratio: rectangle MNOP ~ rectangle RSTU 34. Juan sees a maple tree and a pine tree in the forest. He knows that the pine tree is feet tall. On a sunny day, the shadow of the pine is 4.2 feet long while the maple s shadow is feet long. Estimate the height of the maple tree. a. about 63 feet c. about 100 feet b. about 97 feet d. about 80 feet 35. Give the coordinates of the point. 10 y x 5 a. (4, 4) c. ( 4, 4) b. ( 4, 4) d. (4, 4) 36. The coordinates of three vertices of a rectangle are,, and. Find the coordinates of the fourth vertex D. a. c. b. d. 37. Which situation is best represented by the graph? Time a. A swimmer starts at a steady pace, slows down to a stop, and then starts up swimming again, but at a slower pace than when she first started. b. After a ball is thrown into the air, it falls back to the ground and bounces. c. An airplane starts slowly on the runway, and then quickly takes off before finding a nice cruising speed. d. A car starts on flat ground and drives quickly up a hill, and then it keeps driving.

6 Distance (mi) 38. The graph shows the distance a boat is traveling over time. Does the boat travel at a constant or variable speed? How fast is the boat traveling? Time (h) a. constant speed; 17.5 mi/h c. constant speed; 35 mi/h b. constant speed; 70 mi/h d. variable speed; 70 mi/h 39. Tell whether the equation represents a direct variation. If so, identify the constant of variation. a. not a direct variation c. direct variation; k = 2 b. direct variation; k = 2 d. direct variation; k = During the weekdays, Tom finished 84% of his weekly chores, and Kim completed 9 10 Who must finish a greater percent of chores during the weekend? a. Kim b. Tom of her weekly chores. 41. Use a fraction to estimate 8% of 62. a. 8 c. 600 b. 6 d Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $ Kammie Cycles sells the same bicycle for $ Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which store offers the better deal? a. Kammie Cycles b. Eddicycle Cycle Shop 43. According to the United States Census Bureau, the United States population was projected to be 293,655,404 people on July 1, The two most populous states were California, with a population of 35,893,799, and Texas, with a population of 22,490,022. About what percent of the United States population lived in California or Texas? Round your answer to the nearest percent. a. 8% c. 20% b. 12% d. 37% 44. A jar is filled with buttons of various colors. If the jar has a total of 420 buttons and 85% of the buttons are green, how many green buttons are in the jar? a. 335 green buttons c. 63 green buttons b. 35,700 green buttons d. 357 green buttons 45. Ms. Kuo buys and sells stocks for investors. Ms. Kuo s salary is based on commissions from her stock sales. She receives 4% commission on each class-a security she sells and 3% on each class-b security she sells. If Ms. Kuo sells $90,100 worth of class-a securities and $56,350 worth of class-b securities in 3 months, what will her total salary be for these 3 months? a. $3, c. $1, b. $5, d. $10, An employee earned $56, in a year and had $8, withheld for federal income tax. What federal income tax percent was withheld? If necessary, round your answer to the nearest hundredth of a percent. a % c. 17.5% b. 15.5% d. 0.16%

7 47. Jermaine had dinner at his favorite restaurant. If the sales tax rate is 5% and the sales tax on the meal came to $2.00, what was the total cost of the meal, including sales tax and a 15% tip? a. $52.50 c. $48.00 b. $40.00 d. $ A bank loans a customer $87,000 for a period of 15 years. The simple interest rate of the loan is 9.2%. What is the total amount that the customer will need to pay the bank over the 15 years? a. $1,305,000 c. $207,060 b. $12,093,000 d. $120, Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up. a. impossible d. likely b. unlikely e. certain c. as likely as not 50. Mrs. Woltjer teaches a science class with 34 students. Mrs. Woltjer divides the class into 2 equal-sized groups alphabetically by last name to work on final presentations. What is the likelihood that Aaron Bennings and Keiko Yoshino will be in the same group? a. impossible d. likely b. unlikely e. certain c. as likely as not 51. A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your friends buy 53 bottles of juice. You find 2 of the bottles have a winning cap. What is the experimental probability of winning a prize in the contest? Express your answer as a fraction in simplest form. a. 53 c b d Tien plays on the school basketball team. The table shows the team s results and Tien s results for each game. What is the experimental probability that the basketball team will score fewer than 93 points in the next game? Express your answer as a fraction in simplest form. Game Team s Total Points Tien s Points a. 7 c b. 7 d A manufacturer inspects 500 personal video players and finds that 496 of them have no defects. The manufacturer sent a shipment of 2000 video players to a distributor. Predict the number of players in the shipment that are likely to have no defects. a. 16 c. 496 b d Gloria has 11 markers in a backpack. One of them is purple and one is gray. Find the probability Gloria will reach into the backpack without looking and grab the purple marker and then reach in a second time and grab the gray marker. Express your answer as a fraction in simplest form. a. 1 c

8 b d Matching a. Distributive Property e. exponent b. Identity Property f. coefficient c. Commutative Property g. power d. order of operations h. algebraic expression 1. the property that states that the product of 1 and any number is that number or the sum of 0 and any number is that number 2. the number that is multiplied by the variable in an algebraic expression 3. a rule for evaluating expressions: 1. perform the items in parentheses 2. compute powers and roots 3. perform all multiplication and division from left to right 4. perform all addition and subtraction from left to right 4. the property that states that if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products 5. the property that states that two or number can be added or multiplied in any order without changing the sum or the product 6. an expression that contains at least one variable a. scale drawing e. scale model b. complementary angles f. reciprocal c. scale g. indirect measurement d. scale factor h. rate 7. the ratio between two sets of measurements 8. a proportional example of a three-dimensional object 9. a sketch that uses a ratio to make an object smaller than or larger than the real object 10. the ratio used to enlarge or reduce similar figures 11. the technique of using similar figures and proportions to find a measure 12. a ratio that compares two quantities measured in different units a. adjacent sides e. unit rate b. corresponding sides f. corresponding angles c. similar g. proportion d. equivalent ratios h. cross product 13. matching sides of two or more polygons 14. when figures have the same shape but not necessarily the same size 15. matching angles of two or more polygons 16. an equation that states that two ratios are equivalent

9 17. ratios that name the same comparison 18. the result of multiplying the numerator of one ratio in a proportion by the denominator of the other ratio 19. a rate in which the second quantity in the comparison is one unit a. y-axis e. quadrant b. linear function f. linear equation c. coordinate plane g. x-axis d. origin h. ordered pair 20. a pair of numbers that can be used to locate a point on a coordinate plane 21. the vertical axis on the coordinate plane 22. one of the four coordinate plane regions divided by the x- and y-axes 23. a plane formed by the intersection of a horizontal number line and a vertical number line 24. the horizontal axis on the coordinate plane 25. the point where the x-axis and the y-axis intersect on the coordinate plane a. commission e. percent of increase b. rate of interest f. ratio c. percent of change g. commission rate d. percent of decrease 26. the fee expressed as a percent of the selling price paid to a person who makes a sale 27. a fee paid to a person for making a sale 28. the percent charged or earned on an amount of money 29. a percent change describing an increase in a quantity 30. a percent change describing a decrease in a quantity