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1 Math 7 Midterm Review Please Note: Some topics covered in semester 1 are not found in our textbook. Therefore, the following topics are NOT covered in this review guide but WILL be on the exam. Refer to your notes and homework for these topics: Velocity, Density, Weighted Averages, Speed, Justifying Similar Figures, Scale Factor with Area NON-CALCULATOR Page Page , 31 Page 42 25, 38, 53, 58 Page Page Page Page Page Page , 16, 23-26, CALCULATOR Page Page Page Page Page Page , Page Page Page Page Page , 34 Page , 11 Math 7 Midterm Review Please Note: Some topics covered in semester 1 are not found in our textbook. Therefore, the following topics are NOT covered in this review guide but WILL be on the exam. Refer to your notes and homework for these topics: Velocity, Density, Weighted Averages, Speed, Justifying Similar Figures, Scale Factor with Area NON-CALCULATOR Page Page , 31 Page 42 25, 38, 53, 58 Page Page Page Page Page Page , 16, 23-26, CALCULATOR Page Page Page Page Page Page , Page Page Page Page Page , 34 Page , 11

2 Math 7 Midterm Review Name #1-3 ~ Multiple Choice. Choose the answer than best answers the question. 1. Which expression is equal to -10? A. B. C. D. 2. Which expression is equal to 6? A. B. C. D. 3. What is the next step in simplifying the expression below using the distributive property? -3 ( ) A. C. B. D. # 4-7 ~ Estimate. Round to the nearest whole number before you add, subtract, or multiply The rainfall for the last three months of school was 8.1 inches, 4.2 inches, and 0.33 inch. Estimate the total rainfall for the three months by rounding to the nearest whole number. # 8-10 ~ Estimate Shaun wants to buy 8 candy bars for $0.89 each and Slurpee for $1.95. Find the best estimate for the total cost. Math 7 Midterm Review Page 1

3 Simplify each expression ( 1) Sam ordered a wallet for $15.03, a sweater for $26.78, and a watch for $75.13 from a mail-order catalog. He added $21.11 for tax, shipping, and handling. What was the total cost of Sam s order? 25. Mike ran 1 1 miles on Monday, 2 miles on Wednesday, and 1 2 miles on Friday. He did this for weeks in a row. How many miles did he run in all? Math 7 Midterm Review Page 2

4 26. Sarah has 15 homework problems to compete tonight. If each problem takes her 3 minutes to complete and she also needs to read for 25 minutes. How long will it take her to complete her homework? 27. A submarine was stationed 7 feet below sea level. It went down 8 feet and then descended another 5 feet. It then rose 9 feet. If zero represents sea level, what was the final depth of the submarine? #28-31 ~ Identify the property = (3 + 4) = 2 + (4 + 3) If a midterm exam counts for 10% of your overall grade, determine Phil s overall grade if he earned 80% first quarter, 85% second quarter, and 70% on the exam. Round to the nearest whole percent. Math 7 Midterm Review Page 3

5 33. The density of an object is equal to its mass divided by volume. In science class Marci needs to find the density of an object with a mass of 60 grams and a volume of 16cm 3. What is the density of the object? 34. The density of an object is equal to its mass divided by volume. If the density of an object is 30 grams per cubic inch and the mass of the object is 13.5 grams, find the volume of the object. 35. Katie ran 10 km in 55 minutes. Stacie ran 6 km in 25 minutes. Courtney ran 4 km in 20 minutes. Find the speed of each runner (round to the nearest hundredth if necessary). Who is the fastest? Who is the slowest? 36. The velocity of an object is found by dividing its total displacement by the total time. If an object travels 10 meters forward in 5 seconds and 3 meters backwards in 5 seconds, what is its velocity in meters per second? 37. How fast are you traveling if it takes 6 hours to go 3000 miles from New York to Los Angeles? A miles per hour C. 180 miles per hour B. 600 miles per hour D. 500 miles per hour Math 7 Midterm Review Page 4

6 38. You and a friend walk 1.5 miles to 7-11 from your school and it takes you 25 minutes. You then walk back to your school and it takes you 18 minutes. What is your average speed? Round your answer to the nearest hundredth. A).17 mi/min B) 12 mi/min C).07 mi/min D) 14.3 mi/min 39. At a candy shop, 6 workers are wrapping 300 chocolate bars in 5 hours. If the workers all work at the same pace, how many chocolate bars will each worker wrap in an hour? 40. The speed of light is 300,000,000 meters per second. What is the approximate speed of light in miles per hour? (3,600 seconds 1 hour; 1 mile 1609 meters) A) 25,000 miles per hour C) 130,000,000 miles per hour B) 670,000,000 miles per hour D) 1,100,000,000,000 miles per hour 41. A commercial 747 airliner travels at a cruising speed of about 836 feet per second. What is its speed in miles per hour? (5,280 feet = 1 mile) Math 7 Midterm Review Page 5

7 42. A train traveled a distance of 255 kilometers. If the trip took 4 hours, what was the train s average speed in meters per second? Round your answer to the nearest whole number. (1000m = 1 km) (3600sec = 1 hr) 43. The M & M candy store sells 2 inch mini candy bars for $1.50 per pound. What is the cost of these candy bars per ounce? (16 ounces = 1 pound) 44. Sue earns $5.50 a day babysitting for her neighbor. If she babysits after school each day of the week, how much would she earn for the week? 45. Amanda drew two isosceles triangles. The first had leg lengths of 6 inches and a base length of 8 inches. The other triangle had leg lengths of 15 inches and a base length of 20 inches. Which statement about the triangles is true? A. They are similar and congruent. B. They are congruent but not similar. C. They are similar but not congruent. D. They are not congruent or similar. 46. Apples cost $3.60 for 2 lb. At this rate, which proportion should you set up to find out how many pounds of apples you can buy for $5.40? A. = C. = B. = D. = Math 7 Midterm Review Page 6

8 47. If triangle DEF is similar to triangle ABC, what is the measure of A? D 75 A E F C B 48. Based on what is shown, which statement best explains why the two triangles are similar? 48 cm 26 cm 24 cm 13 cm 46 cm 23 cm A B C D The ratios of all pairs of corresponding sides are equal. Corresponding angles of the triangles are congruent. The ratios of two pairs of corresponding sides are equal and included angles are congruent. Three sides of one triangle have the same lengths as the three sides of the other triangle. 49. ABC and DEF. Find the values of x and y. 50. The triangles below are similar. Find the value of x x 24 Math 7 Midterm Review Page 7

9 51. A 5-ft adult has a shadow 3.2 ft long. How long is the shadow of a 4-ft child standing next to the adult? 56 ft. 4 5 ft. ft ft. ft. x 52. The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go? (All measurements are in feet.) 30 x A) 26 ft B) 14 ft C) 12.5 ft D) ft 53. A scale drawing uses the scale 3 in. = 20 ft. Find the missing measure. 39 in. = ft 54. Los Angeles is about 385 miles from San Francisco. How far apart would the cities be on a map with a scale of 1 in. = 100 mi? If necessary, round to the nearest hundredth. Math 7 Midterm Review Page 8

10 55. Are the two figures similar? If so, explain why? SSS, SAS, or ASA? 56. Determine if the following triangles are similar. s = 5 in, t = 8 in, u = 15 in, and v = 24in A. The triangles are not similar to each other. B. The triangles are similar by SSS. C. The triangles are similar by AAA. D. The triangles are similar by SAS. 57. In the figure below, a and y are congruent. Determine if the two triangles are similar. A. The triangles are not similar to each other. B. The triangles are similar by SSS. C. The triangles are similar by AAA. D. The triangles are similar by SAS. 58. The triangles below are similar. The area of the smaller triangle is given. What is the area of the larger triangle? Math 7 Midterm Review Page 9

11 59. Fred has a homecoming picture measuring 4 inches by 6 inches. He is going to enlarge the picture to 12 inches by 18 inches. How would the area of the enlarged picture compare to the original picture? 60. Using a compass and straightedge only, construct the bisector of this angle. 61. Using a compass and straightedge only, construct a perpendicular bisector of this line segment.. Math 7 Midterm Review Page 10