Ratios and Rates Overview
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Questions and Answers

What is a method to create an equivalent ratio?

  • Change one term into a percentage
  • Add the same number to both terms
  • Subtract different amounts from both terms
  • Multiply or divide both terms by the same amount (correct)

    • The ratio 8:18 can be simplified to 4:9.

    True

    If you have a ratio of 3 girls to 4 boys, what is the total number of students?

    7

    In a ratio table, to find equivalent ratios, you can _______ or divide both terms by the same amount.

    <p>multiply</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Equivalent Ratio = A ratio that has the same value as another Ratio Table = A table used to find equivalent ratios Proportion = An equation that states two ratios are equal Term = One of the numbers in a ratio</p> Signup and view all the answers

    Which of the following is considered a ratio?

    <p>25:75</p> Signup and view all the answers

    What can you do if you want to find an equivalent ratio for 60?

    <p>Multiply or divide by a common factor</p> Signup and view all the answers

    To use a ratio table effectively, you only need to remember one value.

    <p>False</p> Signup and view all the answers

    What is the ratio of Grade 8 students in favor of going on a class trip?

    <p>3:1</p> Signup and view all the answers

    In a bag of mixed chocolate, the ratio of dark to white chocolate is 60:40.

    <p>True</p> Signup and view all the answers

    How many Grade 8 students were surveyed in total?

    <p>56</p> Signup and view all the answers

    If Marisa used 2 parts of water for 1 part of concentrate, and made 6 L of fruit punch, the amount of concentrate used was ______ L.

    <p>2</p> Signup and view all the answers

    What is the equivalent ratio for 12:28?

    <p>3:7</p> Signup and view all the answers

    Match the ratios with their equivalent representations:

    <p>6:11 = 36:66 50:75 = 2:3 4:6 = 2:3 12:28 = 3:7</p> Signup and view all the answers

    In a survey of Grade 8 students, 3 out of ______ students were in favor of the trip.

    <p>4</p> Signup and view all the answers

    What is the cost per pound of potatoes if 5 lb costs $2.19?

    <p>$0.44</p> Signup and view all the answers

    A dozen roses costs $29.75, making it cheaper than 1 dozen doughnuts for $4.50.

    <p>False</p> Signup and view all the answers

    How many ounces are in the packaging for honey?

    <p>60 oz</p> Signup and view all the answers

    The cost of 1 dozen doughnuts is $______.

    <p>4.50</p> Signup and view all the answers

    Match the following items with their costs:

    <p>5 lb of potatoes = $2.19 1 dozen roses = $29.75 18 issues of a magazine = $28.90 36 oz of peanut butter = $4.39</p> Signup and view all the answers

    What is the cost per ounce of the ketchup if 14 oz costs $0.99?

    <p>$0.07</p> Signup and view all the answers

    A magazine subscription (18 issues for $28.90) is more costly than buying 1 dozen roses.

    <p>True</p> Signup and view all the answers

    How many ounces are in a package of detergent costing $9.27?

    <p>147 oz</p> Signup and view all the answers

    What is the average speed of Tuavo Louhivouri who rode 515.8 miles in 24 hours?

    <p>21.57 mph</p> Signup and view all the answers

    A baseball pitch travels to home plate at a speed of 166 feet per second.

    <p>False</p> Signup and view all the answers

    How long does it take for a baseball traveling at 147.9 feet per second to reach home plate, which is 60.5 feet away?

    <p>approximately 0.41 seconds</p> Signup and view all the answers

    The average speed of the motorcycle that traveled 2,945 miles in 74.6 hours is _____ mph.

    <p>39.5</p> Signup and view all the answers

    What was Guiseppe Cantarella's average speed in feet per second while roller skating 1,320 feet in 34.9 seconds?

    <p>43.1 fps</p> Signup and view all the answers

    The distance of a hockey rink is 200 feet.

    <p>True</p> Signup and view all the answers

    What is the speed of the hockey puck in feet per second if it is clocked at 166 feet per second?

    <p>166 feet per second</p> Signup and view all the answers

    Match the average speeds with their respective records:

    <p>Baseball pitch = 147.9 feet per second Motorcycle across the US = 39.5 mph Tuavo Louhivouri's cycling = 21.57 mph Guiseppe Cantarella's roller skating = 38.0 fps</p> Signup and view all the answers

    How much did the famous diamond called the 'Polar Star' sell for in total?

    <p>$1,568,000</p> Signup and view all the answers

    The speed of sound is approximately 760 kilometers per hour.

    <p>False</p> Signup and view all the answers

    How long would it take to travel around the world at the speed of sound?

    <p>33 hours</p> Signup and view all the answers

    The famous basketball player earned $______ for each minute of playing time.

    <p>14</p> Signup and view all the answers

    How much gas did both buses consume together?

    <p>58.8 gallons</p> Signup and view all the answers

    It took Jonathan Hook 8 hours to kiss 410 women.

    <p>False</p> Signup and view all the answers

    What is the cost of all the gas consumed by the two buses to the nearest cent?

    <p>$72.52</p> Signup and view all the answers

    Match the distance with the speed of travel:

    <p>Speed of Sound = 760 miles per hour Speed of Light = 186,000 miles per second Distance around the world = 25,000 miles Distance from Earth to Mars = 48,000,000 miles</p> Signup and view all the answers

    What is the ratio of the larger area to the smaller area of rectangles with dimensions 9 cm by 6 cm and 5 cm by 5 cm?

    <p>2:1</p> Signup and view all the answers

    Using a ratio of 12 parts blue to 9 parts red will make the darkest shade of purple.

    <p>False</p> Signup and view all the answers

    If 36 kg of nitrogen is used in a mixture containing nitrogen, phosphoric acid, and potash in the ratio of 3:7:10, how much potash is used?

    <p>120 kg</p> Signup and view all the answers

    The unit rate for 6 doughnuts for $7.29 is _____ doughnuts per dollar.

    <p>0.82</p> Signup and view all the answers

    Which option offers the best deal for bowling?

    <p>10 games for $22.50</p> Signup and view all the answers

    An airplane can travel 3000 km in 4.5 hours.

    <p>False</p> Signup and view all the answers

    How much phosphoric acid is there in 780.5 kg of fertilizer, considering the ratio of nitrogen, phosphoric acid, and potash is 3:7:10?

    <p>273.61 kg</p> Signup and view all the answers

    Match each amount of paint to its corresponding ratio for the darkest shade of purple:

    <p>9 parts blue = Option a 12 parts blue = Option b 16 parts blue = Option c 96 parts blue = Option d</p> Signup and view all the answers

    Study Notes

    Ratios and Rates

    • Ratios compare two quantities with the same units.
    • Rates compare two quantities with different units.
    • Equivalent ratios have the same relationship between the two quantities.
    • Ratio tables show equivalent ratios.
    • Unit rates express a rate as a quantity per 1 unit of another quantity.
    • To solve problems involving ratios and rates, use equivalent ratios, proportions, or unit rates.
    • Finding the unit rate helps to compare different rates.

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    Ratios and Rates Review PDF

    Description

    This quiz covers fundamental concepts of ratios and rates, including how to compare quantities and express them in equivalent forms. It explores the use of ratio tables, unit rates, and strategies for solving related problems. Understanding these concepts is crucial for mathematical reasoning and real-world applications.

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