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Review Problems

Review Problems. The rectangular floor at Mrs. Washington’s restaurant is 16 ft by 20 ft. She wants to buy a rug that is geometrically similar to the floor. Which size of rug should she buy? A. 8 ft by 12 ft B. 10 ft by 14 ft C. 12 ft by 15 ft D. 14 ft by 18 ft. Review Problems.

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Review Problems

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  1. Review Problems The rectangular floor at Mrs. Washington’s restaurant is 16 ft by 20 ft. She wants to buy a rug that is geometrically similar to the floor. Which size of rug should she buy? A. 8 ft by 12 ft B. 10 ft by 14 ft C. 12 ft by 15 ft D. 14 ft by 18 ft

  2. Review Problems 2.One of the longest cars ever made was 30 meters long. Which scale drawing correctly displays the length of this car if each centimeter represent 6 meters?

  3. Review Problems A. Longest car 4 cm B. Longest car 6 cm D. Longest car 7 cm C. Longest car 5 cm

  4. Review Problems 3. A scale model of an airplane has a wingspan of 6 inches. Scale : 1 in=4ft

  5. Review Problems What is the wingspan, in feet, of the actual airplane? • 1.5 ft • 2 ft • 10 ft • 24 ft

  6. Review Problems 4.A scale drawing is an enlarged or reduced drawing of an object. A map is a scale drawing. SCALE 2cm=100m Write and solve a proportion to find the distance. 5. On the map, the mess hall is 4 cm from the pool. What is the actual distance from the pool to the mess hall?

  7. Review Problems 6. The lodge is 2 cm from the horse corral on the map. What is the actual distance from the corral to the lodge?

  8. Review Problems 7.A video game originally priced at $65.50 is on sale at a 15% discount. a. What is the amount of the discount and the final sale price? b. Would it be a better or worse deal if the store had simply lowered the original price to $55.95? Use percent of decrease to explain.

  9. Review Problems 8.Which table represents an inverse variation between x and y? F. H. H G. I

  10. Review Problems 9. Rickey is training to compete in a half marathon. He currently runs at a rate of 4.5 miles per hour. a. Complete an input/output table that represents Rickey’s distance for the amount of time he runs. Graph the data. b. Write an equation that represents the relationship between time and distance. c. Is the relationship in questions 1 and 2 an example of direct variation? Explain your answer.

  11. Review Problems 10.On a map the distance between San Diego and San Francisco is about 5 cm. The map scale is 1 cm: 110 mi. About how far is San Diego from San Francisco? 11.A scale model of the Statue of Liberty was built for a class project. The actual height of the Statue of Liberty is about 151 feet. What is the height of the model if its scale factor is 1:30?

  12. Review Problems 12.Which table represents a direct variation between x and y? F. H G I

  13. Review Problems 13.Kim’s lunch cost $12.74. She left a tip that was about 15% of the cost of her lunch. Which is closest to the amount Kim left as a tip? 14. If X/Y = U/V, which statement must be true? • XV = YU • XU = YV • X+U/Y+V=U/V • X+2/Y+2=U+2/V+2

  14. Review Problems 15. A zoo had 2250 visitors on Friday and 4725 on Saturday. What was the percentage increase in the number of visitors on Saturday compared to Friday? 16.Henry made juice from a recipe that called for I cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of lime-drink mix Henry used?

  15. Review Problems 17.A scale model of the Washington Monument is 15 in tall and the base is 1.5 in wide. If the actual monument is approximately 555 ft tall, which is closest to the width, in ft, of the base? 18.In one year, the students population at Tillman High School increased from 400 students to 500. What was the percentage increase ?

  16. Review Problems 19. A store is having a sale on roses. The sale price on a dozen roses is 15% less than the regular price. If the regular price is $15.00, what is the sale price of a dozen of roses?

  17. Review Problems 20. A photocopier tray is filled with 500 sheets of paper. Photocopies are then made for the next 2 minutes. Which term BEST describes the slope of a line graph representing the sheets of paper remaining in the tray? • no slope • zero slope • Positive slope • Negative slope

  18. Review Problems 21.A house and a storage shed are built with the geometrically similar roof parts shown bellow. What is the length of the side labeled with an X? X 18 Ft 18 Ft 16 Ft 32 Ft

  19. Review Problems 22.Which situation represent a proportional relationship? • A store charged $20.00 for two shirts, and charged $25.00 for 3 shirts. • An alarm on a clock beeped 7 times in 6 seconds, and beeped 14 times in 12 seconds. • A signal light flashed yellow 7 times in 28 seconds, and flashed red 5 times in 35 seconds. • A car used 3 gallons of gas to drive 72 miles on a highway, and used 4 gallons of gas to drive 72 miles in town.

  20. Review Problems 23. The scale drawing of an apartment shows the living room length as 5.7 in. The scale on the drawing uses 1 in to represent 3 feet. What is the actual length, in feet, of the living room? 24. A sales tax of 7 % was added to the $36.00 price of a jacket. What was the total cost of the jacket?

  21. Review Problems 25. In the figure below, ABC is similar to DEF. What is the length of EF? D C 12 3 A B F E 4 ?

  22. Review Problems 26.Walter budgeted $24 to buy of dog food. He could buy 2 gas for $12 each, 3 bags for $8 each, or 4 bags for $6 each. Which statement is TRUE about the relationship between the number of bags (x) and the price of each bag (y) in this situation? • It is an inverse variation because the ratio x/y is always 24. • It is an inverse variation because the product of x and y is always 24. • It is a direct variation because as x increases, the total price increases. • It is a direct variation because as y increases, the total price increases.

  23. Review Problems 27. The formula for simple interest is I = prt where I is the amount of interest, p is the amount of principal borrowed, r is the rate of interest, and t is the amount of time in years. Terri will borrow $3500 at an interest rate of 3% and plans on repaying the loan over 4 years. Using the interest formula, what is the total amount Terri will repay for the loan with interest?

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