7th Grade Adv. Math 1st Semester Review Ch.1

Transcription

1 7th Grade Adv. Math 1st Semester Review Ch.1 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Simplif. a. c. b. d.. Write the decimal 0. as a fraction in simplest form. a. 44 c b. 131 d Write the fraction as a decimal. 3 a. 0. c. 0.7 b. 0.7 d Multipl. Write our answer in simplest form. a. 7 c b. 1 d Multipl. Write our answer in simplest form. a. c b. 3 d Multipl. a..8 c b. 0.8 d Trea practices tping hour each da. How man hours does Trea practice tping in 3 das? a. hours c. hour b. hours d. hour 8. Divide. Write our answer in simplest form. a. 3 c b. 3 d

2 9. Divide. a c. 0.4 b. 1. d Evaluate the expression for. a. 3. c..9 b. 0.3 d The gas tank on a car holds 1. gallons. If the car goes 387. miles on a single tank, how man miles per gallon does the car get? a. 0 miles per gallon c. miles per gallon b. 1 miles per gallon d. 30 miles per gallon 1. In a singing contest, about of the finalists came from Austin, Texas, and about came from the state of 13. Add. Texas. What fraction of the Texan finalists came from Austin? a. c. b. d. a. 19 c b. d Evaluate n + 1 for n = 3 7 a c b d A bread recipe calls for 1 1 cups of regular flour and 11 cups of wheat flour. What is the total amount flour is needed? a. 1 cups c. 7 cups 7 10 b. 3 3 cups d. 1 cups 1. Solve. a. = 1.3 c. =.1 b. = 1.3 d. = Solve x = 1. a. x = c. x = 1 9 b. x = 7 30 d. x = Solve w = 3.

3 a. w = 18 c. w = 17 0 b. w = 0 39 d. w = A plant has grown 1 1 inches in the last ear and is now 81 3 a. 9 inches c. inches b. 7 3 inches d. 9 inches inches tall. How tall was it a ear ago? 0. Genna wants to have a magician for her birthda part. She has $189 to spend. To have a magician come, there is an initial fee of $4, plus $4 per hour. How man hours can Genna have the magician sta? a. hours c. 3.7 hours b. 10 hours d. hours 1. Solve. a. = 33 c. = 40 b. = 48 d. = 3

4 7th Grade Adv. Math 1st Semester Review Ch.1 Answer Section MULTIPLE CHOICE 1. B. D 3. A 4. D. B. A 7. D 8. D 9. B 10. A 11. C 1. A 13. A 14. A 1. C 1. D 17. D 18. A 19. C 0. A 1. A

5 7th Grade Adv. Math 1st Semester Review Ch. Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Determine whether the ordered pair (10, 44) is a solution of = 4x + 4. a. Yes b. No. Make a table of solutions for using the values x = 1,, 3, and 4. x (x, ) 1?????? 3??? 4??? a. c. b. d. 3. Give the coordinates of each point. B A x 1 D 3 4 C a. Point A is at (0, ). Point B is at (1, ). Point C is at (4, ). c. Point A is at (0, ). Point B is at ( 1, ). Point C is at (4, ).

6 Point D is at (, 3). Point D is at (, 3). b. Point A is at (, 0). Point B is at (, 1). Point C is at (, 4). Point D is at ( 3, ) d. Point A is at (, 0). Point B is at (, 1). Point C is at (, 4). Point D is at (3, ). 4. Name the quadrant where point B is located. x B a. Quadrant IV c. Quadrant III b. Quadrant II d. Quadrant I. Graph each point on a coordinate plane. Label the points A D. A(0, ), B( 4, 1), C(3, 4), D(, ). a. c. C D B C A x A x b. D B D A B x d. C A C D B x. Find the distance between points B and L.

7 Water level L 8 4 B x 4 8 a. 10 c. 1 b. 10 d. 7. Write a possible situation for the graph. Time a. A pool is filled with water using one valve. Then, immediatel after the pool is filled to its capacit, the pool needs to be emptied because of some problems. The pool is refilled right after it is completel empt, using two valves this time. b. A pool is filled with water using one valve. A little time after the pool is filled to its capacit, the pool needs to be emptied because of some problems. Then, the pool is refilled immediatel, using two valves this time. c. A pool is filled with water, and people are having fun swimming and jumping in and out of the pool. d. A pool is filled with water. A little time after the pool is filled to its capacit, the pool needs to be emptied because of some problems. Then, the pool is refilled immediatel at the same rate as before. 8. The table shows speeds in miles per hour for four horses. Time :9 :00 :01 :0 :03 Horse Horse 0 0 Horse Horse

8 Person's speed Person's speed Person's speed Person's speed Horse's speed Horse's speed Horse's speed Horse's speed In no particular order, the following graphs represent the horses in the table. Graph 1 Graph Graph 3 Graph 4 Time Time Time Time Tell which graph corresponds to horse in the table. a. Graph c. Graph 3 b. Graph 1 d. Graph 4 9. The table shows speeds in miles per hour for four people in a neighborhood. Time :4 :0 : 3:00 3:0 Person Person 0 3 Person Person In no particular order, the following graphs represent the people in the table. Graph 1 Graph Graph 3 Graph 4 Time Time Time Time Tell which graph corresponds to person 1 in the table. a. Graph c. Graph 4 b. Graph 1 d. Graph Make a table and a graph of = 4x 3. a x

9 b x 4 c x d x Determine if the relation represents a function x 1 3 a. The relation is a function. b. The relation is not a function. 1. Determine if the relation represents a function. x 0 1 1

10 3 3 a. The relation is a function. b. The relation is not a function. 13. Use the table to make a graph and to write an equation. x a. = c. = x b. = 3x x d. = x x x x 14. Use the graph to make a table and to write an equation x 3

11 a. = x + b. = x c. = x d. = x

12 7th Grade Adv. Math 1st Semester Review Ch. Answer Section MULTIPLE CHOICE 1. A. B 3. C 4. C. B. B 7. B 8. B 9. D 10. C 11. B 1. A 13. B 14. A

13 7th Grade Adv. Math 1st Semester Review Ch.3 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Simplif. a. 3 c. 1 3 b. 1 3 d. 3. Simplif. a c b. 0 d Simplif. a. c. 9 b. d. 4. Evaluate for a = 4, b =, c = 8, x = 1, and =. a. c. 9 b. d.. Multipl. Write the product as one power. a. c. b. Cannot combine d.. Multipl. Write the product as one power. a. c. b. d. Cannot combine 7. Divide. Write the quotient as one power. a. c. b. Cannot combine d. 8. Divide. Write the quotient as a power. The variable is not equal to zero. a. Cannot combine c. b. d. 9. Simplif.

14 a. c. b. d. 10. Simplif. a. c. b. d. 11. Simplif. a. c. b. d. 1. Write the number in standard notation. a. 0 c.,400,000 b.,40,000 d. 4,000, Write the number in standard notation. a c b. 9,910,000 d Write the number 30,000 in scientific notation. a. 0 c b. d. 1. Write the number in scientific notation. a. c. 0 b. d The planet Venus has an average distance from the sun of about 7,00,000 miles. Write this number in scientific notation. a c b d Suppose a sheet of 100 stamps is 0.77 millimeters thick. If a stack of sheets contains 100,000 stamps, how man millimeters thick is the stack? Write the answer in scientific notation. a mm c. mm b mm d. 0 mm 18. The attendance at a parade was people. The attendance at a rall was people. Which event had the higher attendance? a. rall b. parade 19. Find the two square roots of the number 144. a. 3, 3 c. 11, 11 b. 7, 7 d. 1, 1 0. A square room has a tiled floor with 81 square tiles. How man tiles are along an edge of the room? a. 9 tiles c. 40 tiles b. 11 tiles d. 0 tiles

15 1. A square mosaic is made of small glass squares. If there are 19 small squares in the mosaic, how man are along an edge? a. 98 squares c. 14 squares b. 49 squares d. 1 squares. Simplif. a c. 10 b. 44 d Simplif. a. 1,91 c. 11 b. 1 d The square root is between two consecutive integers. Name the integers. a. 10, 104 c. 10, 11 b. 1, 1 d.,. A chessboard is made of 4 small squares. Suppose a single square on a chessboard has an area of square centimeters. How long is one side of the entire board, rounded to the nearest tenth of a centimeter? a..4 cm c. 9.8 cm b. 1.8 cm d. 19. cm. Elena needs to cut a square piece of wood with an area of 9 square inches. How long should the sides of the square be, rounded to the nearest tenth of an inch? a. 7 in. c. 34. in. b. 8.3 in. d in. 7. Approximate to the nearest hundredth. a. 1.7 c. 1.7 b. 1. d Approximate to the nearest hundredth. a c. 1.9 b. 1.1 d Use a calculator to find. Round our answer to the nearest tenth. a c b. 13. d Randal s dad is installing a new pool in their backard. The pool is a square and has an area of 11 ft. Randal s dad will then build a 7 ft wide deck to surround the pool. What is the outside perimeter of the deck? deck pool

16 a. 8 ft c. 7 ft b. 100 ft d. 44 ft 31. Write all names that appl to the number. a. real b. real, rational c. real, irrational d. rational, integer, whole, natural 3. State if the number is rational or irrational. a. irrational b. rational 33. State if the number is rational, irrational, or not a real number. a. irrational b. not a real number c. rational 34. Find a real number between 1 3 and 14. a. 1 c b d Identif the number as rational or irrational. a. irrational b. rational 3. Find the length of the hpotenuse. Round our answer to the nearest tenth. 1 c a..1 units c. 7 units b. 37 units d.. units 37. Find the length of the hpotenuse. Round our answer to the nearest hundredth. c 3 7 a c. b. 3.1 d Find the length of the unknown side. Round our answer to the nearest tenth.

17 10 m 17 m a 1 m a. 8 m c. m b..7 m d. 4 m 39. Harr and Selma start driving from the same location. Harr drives 4 miles north while Selma drives 144 miles east. How far apart are Harr and Selma when the stop? a. 1,74 mi c.,00 mi b. 10 mi d. 0,73 mi 40. A communit is building a square park with sides that measure 10 meters. To separate the picnic area from the pla area, the park is split b a diagonal line from opposite corners. Determine the approximate length of the diagonal line that splits the square. If necessar, round our answer to the nearest meter. Picnic area Pla area 10 m a. 8,800 meters c. 40 meters b. 170 meters d. 10 meters 41. Tell whether the given side lengths form a right triangle., 11, 1 a. Yes b. No

18 7th Grade Adv. Math 1st Semester Review Ch.3 Answer Section MULTIPLE CHOICE 1. C. D 3. D 4. D. C. A 7. A 8. B 9. C 10. B 11. C 1. C 13. C 14. C 1. D 1. A 17. B 18. A 19. D 0. A 1. C. C 3. C 4. C. D. B 7. A 8. B 9. D 30. B 31. B 3. B 33. A 34. C 3. B 3. A 37. C 38. A 39. B 40. B 41. B

19 7th Grade Adv. Math 1st Semester Review Ch.4 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. A factor worker can package 10 games in 1 minutes. How man games can he package per minute? a. 0 c b. 13 d. 10. A professional cclist is training for the Tour de France. What was his average speed in miles per hour if he rode the 10 miles from Laval to Blois in 4.7 hours? Round our answer to the nearest tenth. a.. mph c mph b mph d. 4.0 mph 3. Cereal is on sale this week. Is it a better bu to get the 10-ounce box for $1.9 or the 14-ounce box for $.81? a. 10-oz. box b. 14-oz. box 4. Ellen needs new socks. Her mother can bu a package of pairs of socks for $3. or a package of 9 pairs for $4.7. Which is the better bu? a. package of b. package of 9. Tell whether the ratios are proportional. a. no b. es. Gabriel got 1 out of 1 problems right on his math test. On his histor test, he correctl answered 4 out of 49 questions. Were his results on the two tests proportional? a. no b. es 7. At a hardware superstore, ou can bu a set of wrenches for $10, and a set of 19 screwdrivers for $31. Are these prices proportional? a. es b. no 8. Solve the proportion. a. z = 3 c. z = 144 b. z = 1 d. z = 1 9. Solve the proportion. a. k = 13 c. k = b. k =. d. k = The Anderson famil is preparing for a famil reunion. The think the will need 8 juice boxes for ever 4 children who attend. How man juice boxes will the need if the are expecting children? a. 08 juice boxes c. 3 juice boxes b. juice boxes d. 8 juice boxes 11. To make dozen cookies, ou must use eggs. How man eggs are needed to make 4 dozen cookies? Use a proportion to solve. a. 4 eggs c. 1 eggs b. 14 eggs d. 7 eggs

20 1. In her catering business, Judith usuall estimates that 8 pounds of meat will feed about 3 people. How man pounds of meat should she prepare if she is expecting 144 people? a. 1 lb c. 48 lb b. lb d. 3 lb 13. Tell whether and could be similar. A X 3 3 Z 4 Y C 8 B a. are not similar b. could be similar 14. Tell whether trapezoid ABCD and trapezoid WXYZ could be similar. A 1 B W X D C Z 9 Y a. are not similar b. could be similar 1. Which rectangles are similar? a. and 3 b. 1 and c. 1 and 3 1. Mona needs to photocop a 1 centimeters wide b 1 centimeters long picture. She wants to enlarge the picture so that its length will be 48 centimeters. How wide will the enlarged picture be?

21 a. 4 cm c. 144 cm b. 47 cm d. 1. cm 17. On the plans for a new house, the house is 18 inches wide b 0 inches long. If the house is actuall going to be 7 feet wide, what will the actual length of the house be? a. 40. ft c. 4.3 ft b. ft d. 30 ft 18. In the gift shop of the Histor of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 1 feet long with a wingspan of 17. feet. If the finished model will be 1 inches long, what will the wingspan be? a. 30. in. c in. b. 10 in. d. in. 19. Monique is using similar triangles in her graphic-design project. The triangles are isosceles. One has a base of 8 inches and legs of inches. If the other triangle has a base of 18 inches, how long are the legs? a..7 in. c. 13. in. b. 4 in. d..7 in.

22 7th Grade Adv. Math 1st Semester Review Ch.4 Answer Section MULTIPLE CHOICE 1. D. A 3. A 4. B. A. A 7. B 8. C 9. B 10. B 11. B 1. D 13. B 14. A 1. B 1. A 17. D 18. B 19. C

23 7th Grade Adv. Math 1st Semester Review Ch. Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Name two acute angles in the figure. V Q T 4 4 R 0 30 W S a. QRT, VRW c. QRT, VRS b. QRV, VRS d. QRW, TRW. Name two acute angles in the figure. H K I L J a. HIK, JIL c. LIK, KIJ b. HIK, HIL d. HIL, KIJ 3. Name two obtuse angles in the figure. V Q T 4 4 R 0 30 W S a. QRW, TRW c. QRV, VRS b. SRW, VRW d. QRT, TRS 4. Name two obtuse angles in the figure. H K I L J a. HIK, JIL c. HIK, HIL b. HIL, KIJ d. LIK, KIJ

24 . Name a pair of complementar angles in the figure. V Q T 4 4 R 0 30 W S a. QRV, VRS c. QRV, VRW b. QRT, VRS d. VRW, SRW. Name a pair of complementar angles in the figure. H K I L J a. HIK, JIK c. LIK, KIJ b. HIK, LIJ d. HIK, HIL 7. Name two pairs of supplementar angles in the figure. V T W Q R a. QRV, VRS QRT, TRS b. QRV, VRW QRW, VRS S c. QRT, VRS QRW, VRS d. QRT, TRV SRW, WRV 8. Name two pairs of supplementar angles in the figure. K L H a. HIK, LIJ JIK, KIH b. LIK, KIJ HIK, HIL I J c. HIK, HIL KIL, JIK d. HIK, JIK HIL, LIJ 9. Find the unknown angle measure. The angles are complementar.

25 3 b a. b = 8 c. b = 1 b. b = 8 d. b = Find the unknown angle measure. The angles are supplementar. 78 c a. c = 11 c. c = 18 b. c = 1 d. c = Find the unknown angle measure. 8 f a. f = 1 c. f = 8 b. f = 3 d. f = Find the unknown angle measure. 9 g a. g = 18 c. g = 9 b. g = 84 d. g = 13. In the figure, 1 and 3 are vertical angles, and and 4 are vertical angles. If m 4 = 100, find m.

26 1 4 3 a. 190 c. 100 b. 10 d In the figure, 1 and 3 are vertical angles, and and 4 are vertical angles. If m 1 = n, find m a. 180 n c. n b n d. 90 n 1. In the figure, the angles are formed b a transversal and two parallel lines. Which angles seem to be congruent? a ; 4 8 b ; 3 7 c ; 7 8 d. 1 ; The angles are formed b a transversal and two parallel lines. Which angles seem to be congruent? a ; 4 8 b ; 3 7 c. 1 ; d ; In the figure, line m line n. Find the measure of 4.

27 n p m a. 3 c. 7 b. 117 d In the figure, line m line n. Find the measure of 7. m n p a. 3 c. 117 b. 7 d In the figure, line g line h. Find the measure of 4. f g h a. 19 c. 9 b. 11 d Find m in the acute triangle. m a. c. b. 118 d. 1. Find n in the obtuse triangle.

28 13 n 4 a. 4 c. 10 b. 0 d. 13. Find g in the right triangle. g a. 14 c. b. 34 d Find the angle measures in the equilateral triangle. q q q a. q = 10 c. q = 30 b. q = 180 d. q = 0 4. Find the angle measures in the scalene triangle. 3f f f a. f = 3, 3f = 108, f = 1 c. f =, 3f = 7, f = 17 b. f = 18, 3f = 4, f = 108 d. f = 9, 3f = 7, f = 4. Find the angle measures in the isosceles triangle.

29 f 44 f a. f = 18 c. f = 8 b. f = 118 d. f = Tell whether a triangle can have sides with lengths, 11, and 7. a. Yes b. No 7. Tell whether a triangle can have sides with lengths 1,, and 3. a. No b. Yes 8. Tell whether a triangle can have sides with lengths 4,, and 7. a. No b. Yes 9. Graph the polgon with the given vertices. Give the most descriptive name for the polgon. M(, ), N(, ), P(4, ), Q( 4, ) a. Trapezoid c. Quadrilateral b. Rectangle d. Parallelogram 30. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polgon. F(1, ), G(3, 0), H(1, ), J( 1, 0) a. Parallelogram c. Square b. Rhombus d. Rectangle 31. Find the coordinates of the missing vertex of rectangle ABCD with A(, 4), B(, 4), and D(, ). a. (, ) c. (1, ) b. ( 1, 10) d. (, 4) 3. Find the coordinates of the midpoint of with endpoints C(1, ) and M(7, ). 8 M x 4 8 C

30 a. (3, 1) c. (4, b. (8, 1) d. (4 1, 1 ) 33. Write a congruence statement for the pair of congruent polgons. 1 ) a. Quadrilateral EFGH quadrilateral NKLM. b. Quadrilateral EFGH quadrilateral MNKL c. Quadrilateral EFGH quadrilateral KLMN d. Quadrilateral EFGH quadrilateral LMNK 34. Write a congruence statement for the pair of congruent polgons. a. Triangle HFG is congruent to triangle KLJ. b. Triangle FGH triangle LJK c. Triangle FGH triangle JKL d. Triangle FGH triangle KLJ 3. In the figure, hexagon PQRSTU Find s. hexagon ABCDEF (w) (4s) a. s = 17 c. s = 79 b. s = 4 d. s = 7 3. In the figure, quadrilateral ABCD Find x. quadrilateral GJIH.

31 x/3 90 (t) 9 h a. x = 1 c. x = 1 b. x = d. x = In the figure, quadrilateral RSTU Find g. quadrilateral HIFG (b 14) 4g 1 1 a a. g = 4 c. g = 80 b. g = d. g = 98

32 7th Grade Adv. Math 1st Semester Review Ch. Answer Section MULTIPLE CHOICE 1. A. A 3. A 4. B. D. B 7. A 8. D 9. A 10. D 11. A 1. C 13. C 14. C 1. A 1. A 17. A 18. C 19. B 0. C 1. B. B 3. D 4. B. C. A 7. A 8. A 9. B 30. C 31. A 3. C 33. B 34. D 3. A 3. D 37. B