7th Grade Math 1st Semester Review Ch.1

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1 7th Grade Math 1st Semester Review Ch.1 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Simplif the expression a c. 47 b d Simplif the expression. a. c. 0 b. 7 d Pablo earns mone b 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 Jul. Simplif the expression to find out how much Pablo earned for the month of Jul. Week Pets Week 1 4 Week 2 2 Week 3 2 Week 4 2 a. $35 c. $450 b. $250 d. $ In an online media store, downloaded songs cost $3 each and books cost $9 each. Taji paid $7 in sales tax when he purchased 15 songs and 3 books. Write and simplif an expression to show how much Taji spent on everthing, including sales tax. a. ; $37 c. ; $151 b. ; $223 d. ; $79 5. Tell which propert is represented. a. Associative Propert c. Distributive Propert b. Commutative Propert d. Identit Propert. Simplif the expression. Justif each step. Complete the justification. =? =? = Add. = a. Commutative Propert; Identit Propert b. Commutative Propert; Associative Propert c. Associative Propert; Commutative Propert d. Identit Propert; Associative Propert 7. Use the Distributive Propert to find. a. 84 c. 534

2 b. 774 d. 8. Evaluate n + 13 for n = 24. a. 11 c. 3 b. 37 d. 24n Evaluate 7 2 for = 9. a. 49 c. 9 2 b. 1 d. 77. Evaluate for = and z = 3. a. c. 95 b. 1 2 d Write the phrase as an algebraic expression. 4 times the sum of a number and 20 a. c. b d A fence has a total of 50 planks. Violeta paints n planks each da. Write an algebraic expression for how man das it will take Violeta to finish painting the fence. a. c. 50n b. d. 50 n 13. It takes 78 das to create a custom motorccle. Write an algebraic expression to describe the number of das it takes to create n custom motorccles. How man das will it take to create custom motorccles? a. ; 84 das c. ; 48 das b. ; 54 das d. ; 13 das 14. Identif like terms in the list:. a. ; b. ; ; c. ; ; d. ; ; 15. Simplif. Justif our steps using the Commutative, Associative, and Distributive Properties when necessar. a. c. b. d. 1. Write an expression for the perimeter of the trapezoid. Then, simplif the expression.

3 x 2a 2a a. ; c. ; b. ; d. ; 17. Jaime makes t dollars per hour installing computers. The table shows the number of hours he worked each week in Jul. Write and simplif an expression for the amount of mone Jaime earned in Jul. Evaluate the expression for. Hours Jaime Worked Week Hours a. ; ; b. ; ; c. ; ; d. ; ;

4 7th Grade Math 1st Semester Review Ch.1 Answer Section MULTIPLE CHOICE 1. C 2. D 3. B 4. D 5. D. B 7. B 8. B 9. B. D 11. C. A 13. C 14. B 15. B 1. A 17. C

5 7th Grade Math 1st Semester Review Ch.2 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Graph the integer 4 and its opposite on a number line. a. c b. d Compare 2 _? 4. Write < or > a. < b. > 3. Use a number line to order the integers 3, 7, 7, 9,, and 0 from least to greatest. a. c. 3, b , 7, 9,, 0 8 7, 0, 3,, d. 9, 4. Find the absolute value. 3 a. 3 c. 0 b. 3 d , 0, 3,, , 3, 0, 7, , 7, 5. The four best scores from an amateur golf tournament sponsored b a local golf club are given in the table. Since the lowest score wins, which golfer won the tournament? Plaer Score Mr. Benitez 2 Mr. Hill 3 Mr. Williams 8 Mr. Haashi 8 a. Mr. Haashi c. Mr. Hill b. Mr. Benitez d. Mr. Williams. The table shows the change in four companies stock prices at the end of a da s trading. Which compan s stock lost the most? Compan Change in Price King 5 Farle 1 Allendale 5

6 Tellers 3 a. Farle c. King b. Tellers d. Allendale 7. Find the sum 37 + ( 25). a. c. 2 b. d Evaluate for 4 and 34. a. c. 80 b. 80 d. 9. 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 $40. Find the difference ( 25). a. 35 c. 35 b. 15 d Evaluate for 13 and 50. a. 37 c. 3 b. 3 d. 37. The highest temperature recorded in the town of Westgate this summer was F. Last winter, the lowest temperature recorded was 1 F. Find the difference between these extremes. a. 1 F c. 99 F b. 1 F d. 99 F 13. Find the product 2( 9). a. 7 c. 7 b. 18 d Find the product ( 9). a. 3 c. 54 b. 54 d Find the quotient a. 8 c. 132 b. 5 d Miguel spends $35 a da for 4 das. He earns $21 a da for 5 das. Does Miguel end up with more or less mone than he started with? B how much? a. Miguel ends up with $35 more than he started with. b. Miguel ends up with $35 less than he started with. c. Miguel ends up with $91 more than he started with. d. Miguel ends up with $91 less than he started with. 17. Solve the equation h ( 22) = 11. Check our answer. a. h = 11 c. h = 33 b. h = 33 d. h = 11

7 18. Solve the equation = 9. Check our answer. a. f = 18 c. f = 18 b. f = 7 d. f = This ear, a construction compan had expenses of $850 million, which was $75 million more than the expenses from last ear. How much were last ear s expenses? a. $775 million c. $925 million b. $850 million d. $75 million 20. Write the fraction as a decimal. If necessar, round our answer to the nearest hundredth. a c. 22. b d Write the fraction as a decimal. If necessar, round our answer to the nearest hundredth. a c. 0.5 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 correctl answered 9 questions on the first tr. If there were 72 questions in the game, at what rate were questions answered correctl on the first tr? Express our answer as a decimal. Round to the nearest hundredth. a c b d Write as a decimal. a. 3.1 c. 4.1 b d Compare the fractions. Write < or >. a. < b. > 27. Compare the decimals 0.22?_ Write < or >. a. < b. > 28. 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, 3 4 4

8 7th Grade Math 1st Semester Review Ch.2 Answer Section MULTIPLE CHOICE 1. A 2. A 3. C 4. A 5. D. C 7. D 8. A 9. B. A 11. A. B 13. D 14. B 15. D 1. B 17. D 18. C 19. A 20. B 21. B 22. D 23. C 24. A 25. A 2. A 27. A 28. D

9 7th Grade Math 1st Semester Review Ch.3 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Add. Estimate to check whether the answer is reasonable a c b d Subtract. Estimate to check whether the answer is reasonable a c b. 179 d Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-da motor trip through upstate New York. On the first da, he drove miles. On the second da, he drove miles. How man more miles did he drive the first da than the second da? a miles c miles b. 855 miles d miles 4. Two pounds of corned beef cost $14.91, and a package of cabbage cost $3.34. What is the total cost of the corned beef and the cabbage? a. $18.35 c. $1.83 b. $18.25 d. $ Multipl a c b d Multipl. Estimate to check whether the answer is reasonable..1 ( 15.8) a c b d The average earl rainfall in Lakeview is inches. What is the total amount of rainfall in inches in Lakeview in 5.75 ears? a..395 inches c. 1,239.5 inches b inches d inches 8. Divide ( 21.9) a c. 22 b. 2.2 d Divide. Estimate to check whether the answer is reasonable. 7 ( 3.8) a. 2 c. 20 b. 200 d. 20

10 . Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house is miles. If their car gets 21.1 miles per gallon, how man gallons of gas will the need for the trip? a gallons c gallons b gallons d gallons 11. Kristi had $7.00 when she went to the store. When she got back, she had $2.39. How much did she spend? a. $4.43 c. $9.39 b. $.7 d. $4.1. Add. Express our answer in simplest form. a. 1 c. 1 3 b. 1 d Add. Express our answer in simplest form. a. 11 c b. 53 d Two carpenters are building a fence. After 5 minutes, one carpenter is finished finished of the wa and the other is of the wa. How much of the wa ahead of the second carpenter is the first carpenter? a. 25 of the wa c b. 13 of the wa d of the wa of the wa 15. There are two bookcases against a wall. If one takes up 5 of the wall and the other takes up how much of the wall is covered b bookcases? a. 17 of the wall c. 34 of the wall 9 45 b. 3 of the wall d. 11 of the wall 7 15 of the wall, 1. Multipl. Express our answer in simplest form a. 1 c. b. d Multipl. Express our answer in simplest form a. 7 c b. 14 d Multipl. Express our answer in simplest form.

11 a. 5 c b. 2 3 d In 2001, bus fare on the Metropolitan Bus Line was $4.00. In 1975, the fare was 1 2 was the fare in 1975? a. $1.4 c. $8.00 b. $2.00 d. $7.42 the fare in What 20. A computer processor costs $9.00. It is expected that in 8 months the processor will cost 3 4 How much will it cost in 8 months? a. $72.14 c. $8.00 b. $72.00 d. $7.34 its current price. 21. Marcus hikes at a rate of 2 miles per hour. If he hikes for hours, how man miles will he hike? a. miles c. 2 3 miles b. 14 miles d. 8 miles 22. Divide. Express our answer in simplest form a. 21 c b. 5 d Divide. Express our answer in simplest form a. 3 c b d How man 3 8 -foot pieces of wood can ou cut from a board that is 17 8 a. 45 pieces of wood c. 1 pieces of wood 4 5 b. 3 pieces of wood d. 5 pieces of wood feet long? 25. In a fish tank, 1 of the fish have a red stripe on them. If of the fish have red stripes, how man total fish 2 are in the tank? a. 25 fish c. 24 fish b. 22 fish d. 20 fish 2. On one da, the temperature at dawn in Chattanooga, Tennessee is C. During the da, it warms up 2 7 C. What is the new temperature? a C c C b C d C

12 7th Grade Math 1st Semester Review Ch.3 Answer Section MULTIPLE CHOICE 1. D 2. D 3. D 4. B 5. A. A 7. D 8. B 9. C. D 11. D. D 13. B 14. C 15. C 1. D 17. A 18. B 19. B 20. B 21. C 22. A 23. A 24. D 25. D 2. D

13 Amount of Gas Used (gal) 7th Graede Math 1st Semester Review Ch.4 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. You can get 40 calories from eating 8 apples. How man calories can ou get from eating 1 apple? a. 80 calories per apple c. 82 calories per apple b. 83 calories per apple d. 81 calories per apple 2. Ignacio is going on vacation. He needs to drive 579 miles in 8 hours. What is his average speed in miles per hour? a. 3 miles per hour c. 7 miles per hour b. 5 miles per hour d. 9 miles per hour 3. Ton and Tiffan collect semi-precious stones. At the Rockhound Hut, Tiffan paid $38 for 9 pounds of snowflake obsidian. At The Solid Rock Shop, Ton paid $19 for 3 pounds of the same tpe of stone. Who made the better bu? a. Ton b. Tiffan 4. Tina and Nol wanted to see whose car gets better gas mileage, so the each drove 2 miles and recorded how much gas the used. Use the bar graph to find how man miles per gallon each person s car gets. Round our answers to the nearest tenth Tina's car Nol's car a. Tina s car: 17.5 mi/gal. Nol s car:.5 mi/gal. b. Tina s car: 19.5 mi/gal. Nol s car:.5 mi/gal. c. Tina s car: 175 mi/gal. Nol s car: 5 mi/gal. d. Tina s car:.5 mi/gal. Nol s car: 19.5 mi/gal. 5. Determine whether the ratios are proportional. a. not proportional b. proportional. Determine whether the ratios and are proportional. a. proportional b. not proportional 7. Determine whether the ratios are proportional. a. proportional b. not proportional

14 8. Marie rode her bike 325 kilometers in 20 hours last month. Tamara rode her bike 255 kilometers in 15 hours last month. Are these speed rates proportional? Explain. a. No; Marie s rate is 1.25 km/h and Tamara s rate is 17 km/h. b. Yes; to find both speed rates, ou need to divide the distance b the time. c. No; Marie s distance and time are greater than Tamara s distance and time. d. Yes; Marie s and Tamara s rates are almost the same. 9. Solve the proportion. a. r = 528 c. r = b. r = 4.09 d. r = 8.8. The Anderson famil is preparing for a famil reunion. The think the will need 22 juice boxes for ever children who attend. How man juice boxes will the need if the are expecting children? a. 22 juice boxes c. 44 juice boxes b. 24 juice boxes d. 132 juice boxes 11. Tell whether and similar. The measures of the corresponding angles are equal. A X 7 5 Z 4 C B a. similar b. not similar Y. Tell whether parallelogram ABCD and parallelogram WXYZ are similar. The measures of the corresponding angles are equal, and the opposite sides are equal. A B W 9 X 8 Z D C a. not similar b. similar Y 13. Tell whether trapezoid ABCD and trapezoid WXYZ are similar. The measures of the corresponding angles are equal.

15 A 18 B W 9 X D 22 C Z 11 Y a. not similar b. similar 14. Tell whether the rectangles are similar. If so, write the similarit ratio and a similarit statement. The measures of the corresponding angles are equal, and the opposite sides are equal. M 9 N R 15 S P O U T a. similarit ratio: rectangle MNOP ~ rectangle RSTU b. The rectangles are not similar. c. similarit ratio: rectangle MNOP ~ rectangle RSTU d. similarit ratio: rectangle MNOP ~ rectangle RSTU 15.. Find XY. A X ? Z Y C B a. s = 8 c. s = 8.25

16 b. s = 33 d. s = The front of Jane s house is similar in shape to the front of Spot s doghouse. The base of the doghouse is 5 feet and the height is feet. If the height of Jane s house is 30 feet, what is the length of its base? If necessar, round our answer to the nearest tenth. 30 Jane Spot base = x 5 a. 30 ft c. 3 ft b. 25 ft d. 29 ft 17. Juan sees a maple tree and a pine tree in the forest. He knows that the pine tree is 20.8 feet tall. On a sunn da, 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 3 feet c. about 0 feet b. about 97 feet d. about 80 feet 18. A model airplane is built to a scale of 1 in.: ft. If the model plane is 11 inches long, find the length of the actual plane. Round our answer to the nearest foot. a feet c. 13 feet b. 132 feet d. 11 feet 19. Identif the scale factor if the length of a model train engine is 3 inches and the length of the engine itself is 24 feet. a. 3 c. 288 to 1 b. 3 d In an investigation, Detective Trac discovered a photograph that showed his number one suspect at the scene of the crime. To get a better look, he enlarged the picture b a scale factor of measured 4 inches b inches, what were the dimensions of the enlargement? a. 40 inches b 0 inches c. 14 inches b 1 inches b. 20 inches b 0 inches d. 40 inches b 30 inches. If the original photo 21. Lisa and Susan are driving to college together. The look at a map to find out how far the have to drive. On the map, Lisa measures the distance to be 3.5 inches. How man miles do the have to drive if the map scale is 1 in. = 50 mi? a miles c. 225 miles b. 175 miles d mile

17 7th Graede Math 1st Semester Review Ch.4 Answer Section MULTIPLE CHOICE 1. A 2. B 3. B 4. A 5. A. A 7. B 8. A 9. D. C 11. B. B 13. B 14. A 15. C 1. B 17. D 18. B 19. D 20. A 21. B

18 7th Grade Math 1st Semester Review Ch.5 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Identif the quadrant that contains the point (3, ). x a. Quadrant III c. Quadrant II b. Quadrant IV d. Quadrant I 2. Identif the quadrant that contains the point (9, 0). x a. between Quadrants II and III c. between Quadrants I and II b. between Quadrants I and IV d. between Quadrants III and IV 3. Plot the point (, 0) on a coordinate plane.

19 a. c x 5 5 x 5 5 b. d x 5 5 x Give the coordinates of the point x 5 a. (4, 4) c. ( 4, 4) b. ( 4, 4) d. (4, 4) 5. The coordinates of three vertices of a rectangle are,, and. Find the coordinates of the fourth vertex D. a. c. b. d.

20 Distance from Rental Site (mi) Distance from Rental Site (mi) Distance from Rental Site (mi) Distance from Rental Site (mi). Kath rented a biccle. In the first half hour, she rode the bike for 2 miles. Then, she stopped and rested for a half hour. In the next two hours, she increased her speed and rode as fast as she can to race with another bicclist for miles. She stopped b a water fountain to get a drink of water and rested for another half hour. Finall, she rode the bike back to the rental site to return the bike in the last hours. Sketch a graph to show the distance that Kath rode the bike compared to time. Use the graph to find the total distance traveled. a. c Time (h) Time (h) b. Kath traveled a total of 14 miles. 1 d. Kath traveled a total of 14 miles Time (h) Time (h) Kath traveled a total of 14 miles. Kath traveled a total of miles. 7. Tell whether the slope is positive or negative. Then, find the slope (2, 4) (5, 2) x 2 4 8

21 a. positive; 2 3 c. negative; b. positive; 2 5 d. negative; Use the slope of 2 and the point (, 3) to graph the line. a. c x x b d x x Tell whether the graph shows a constant or variable rate of change x 4 8 a. variable rate of change b. constant rate of change

22 7th Grade Math 1st Semester Review Ch.5 Answer Section MULTIPLE CHOICE 1. D 2. B 3. C 4. A 5. B. B 7. C 8. A 9. B