Unit 5 Test On Ratios And Proportionality Math 7 (Revised)
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Hello Students. Today you will take your first online test. This test was designed to measure your competency of ratios and proportions, so please take this assessment seriously. While completing this test, please remember to read all directions and simplify answers to the lowest form. In addition to submitting your answer online, I am requesting all students show work for each test item. If you fail to produce the needed work for your test, I will deduct 20 points from your certificate grade, so please show work. Again take this test seriously, use your time wisely and check over your Read morework to catch any careless mistakes. Good Luck and remember the deadline for submission is Sunday, Feb 1 at 6:00 pm. Mrs. Baptist
Questions and Answers
1.
A parking lot contains 18 American cars and 63 foreign cars. Write the ratio of American cars to foreign cars. ( All answers should be in simplest forms)
Explanation The ratio of American cars to foreign cars can be calculated by dividing the number of American cars by the number of foreign cars. In this case, there are 18 American cars and 63 foreign cars. Therefore, the ratio is 18/63, which can be simplified to 2/7. This can also be expressed as 2:7 or 2 to 7.
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2.
During a trip, a car traveled 249.2 miles in 4 hours. How many miles per hour did the car travel?
Explanation The car traveled 249.2 miles in 4 hours. To find the speed in miles per hour, we divide the total distance traveled by the total time taken. Therefore, the car traveled at a speed of 62.3 miles per hour.
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3.
Two drinks are on sale at a store. Drink A costs $1.28 for 16 ounces. Drink B costs $2.16 for 24 ounces. Determine the unit rate for Drink A. Round the answer to the nearest cent.
Explanation The unit rate for Drink A is $0.08 per 1 ounce or $0.08 per ounce.
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4.
Are the following ratios proportional? Write yes or no. Remember to show your work on the original test to support your answer.
5.
Write the name of the math symbol
6.
What is the name of this symbol?
Explanation The correct answer is "congruent" or "Congruent." This symbol is often used in geometry to represent congruence, which means that two shapes or objects are identical in shape and size. The symbol consists of two parallel lines with an equal sign in between, indicating that the two objects are congruent.
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7.
Two fractions (ratios) equal to one another is called a(n)
Explanation A proportion refers to two fractions or ratios that are equal to each other. In other words, when the value of one fraction is divided by the other, the result is always the same. Proportions are commonly used in mathematics and real-life situations to compare quantities and find unknown values. They help establish a relationship between different quantities and can be solved using cross-multiplication or other algebraic methods.
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8.
A ratio that compares two different measurements with a denominator of 1.
Explanation A unit rate is a ratio that compares two different measurements with a denominator of 1. It is a way of expressing the relationship between the two quantities in a simplified form. By setting the denominator to 1, it allows for easier comparison and understanding of the relationship between the two measurements.
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9.
Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours did she practice in 5 weeks.How many hours did she practice?
10.
Seven bananas contain 3.5 milligrams of Vitamin B6. How many bananas contain 9.31 milligrams of Vitamin B6? Round to the nearest tenth.
Explanation To find out how many bananas contain 9.31 milligrams of Vitamin B6, we can set up a proportion using the given information. We know that 7 bananas contain 3.5 milligrams of Vitamin B6. So, we can set up the proportion as 7 bananas is to 3.5 milligrams of Vitamin B6, as x bananas is to 9.31 milligrams of Vitamin B6. Solving this proportion, we can cross multiply and get 7 * 9.31 = 3.5 * x. Simplifying this equation, we get x = (7 * 9.31) / 3.5 = 18.6 bananas. Therefore, 18.6 bananas contain 9.31 milligrams of Vitamin B6.
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11.
A worker at a tire shop can install 4 new tires in 1.3 hours. At this rate, how long would it take the worker to install new tires for 75 cars if each car will receive 4 tires?
Explanation The worker can install 4 new tires in 1.3 hours. Since each car will receive 4 tires, we can divide the number of cars (75) by 4 to get the number of sets of 4 tires. 75 divided by 4 is 18.75. Therefore, it would take the worker approximately 18.75 times the amount of time it takes to install 4 tires, which is 1.3 hours. Multiplying 18.75 by 1.3 gives us 24.375 hours. Converting this to hours and minutes, we get 24 hours and 37.5 minutes, which can be rounded to 24 hours and 30 minutes. Adding this to the original 1.3 hours, the total time would be approximately 25.3 hours or 25 hours and 18 minutes.
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12.
Terry paid $8.75 for 5 pounds of pears. At this rate, how many pounds of pears could she buy with $61.25. Remember to include your unit of measurement.
Explanation At a rate of $8.75 for 5 pounds of pears, we can calculate the cost per pound by dividing the total cost by the number of pounds. In this case, the cost per pound is $8.75/5 = $1.75 per pound. To find out how many pounds of pears Terry can buy with $61.25, we can divide the total amount of money by the cost per pound. Thus, $61.25/$1.75 = 35 pounds. Therefore, Terry can buy 35 pounds of pears with $61.25.
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13.
You find that your watch gains 2 minutes in 6 hours. How much will it gain in 3 days? Remember to include your unit of measurement.
Explanation If the watch gains 2 minutes in 6 hours, we can calculate the gain per hour by dividing 2 minutes by 6 hours, which equals 0.33 minutes per hour. Since there are 24 hours in a day, the watch will gain 0.33 minutes per hour * 24 hours = 7.92 minutes per day. Therefore, in 3 days, the watch will gain 7.92 minutes per day * 3 days = 23.76 minutes, which can be rounded to 24 minutes.
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14.
Find the missing side measurement. Remember to include your unit of measurement.
Explanation The missing side measurement is 75 ft or 75 feet. This is because the given measurements are already 75 ft and 75 feet, so the missing side must also be the same length.
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15.
Are the ratios below proportional? Write yes or no.3 to 8, 21 to 41
Explanation The ratios are not proportional because the ratio 3 to 8 is not equal to the ratio 21 to 41.
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16.
An employee working at an electronics store earned $3582 for working 3 months during the summer. What did the employee earn for the first two months?
Explanation The employee earned $3582 for working 3 months during the summer. To find out what the employee earned for the first two months, we can divide the total earnings by the number of months worked. Therefore, the employee earned $3582 / 3 = $1194 per month. Multiplying this by 2 gives us $2388, which is the amount the employee earned for the first two months.
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17.
What is the length of the pole? Remember to include your unit of measurement
Explanation The length of the pole is 20 feet. This is indicated by the options provided: 20 ft, 20 feet, and 20ft. All three options use the unit of measurement "ft" or "feet" to represent the length of the pole.
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18.
Number of hoursPay 0$02$153$24.7511$107.25The following chart shows the pay a babysitter made for different hours of work. Does the babysitter's pay represent a proportional relationship? Type yes or no.
Explanation The babysitter's pay does not represent a proportional relationship because the pay does not increase or decrease at a constant rate with the number of hours worked.
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19.
If the above trapezoid is enlarged by a scale factor of 6, what will be the perimeter of the new trapezoid? Remember to include unit of measurement.
20.
Which graph shows water being displaced (moved) from a container in a least(shortest) amount of time?
Explanation The correct answer is c,C. The graph c shows a steeper slope, indicating that the water is being displaced at a faster rate. This means that the water is being moved from the container in a shorter amount of time compared to the other graphs. The capital C also indicates that the answer is c,C.
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21.
The graphs below show the cost "y" of buying "x" pounds of fruit. One graph shows the cost of buying "x" pounds of peaches and the other shows "x" pounds of plums. Select the answer that best describes the situation.
A.
Peaches and plums cost the same amount per pound.
B.
Peaches cost less per pound than plums.
C.
Peaches cost more per pound than peaches.
D.
Plums cost less the more pounds you buy.
Correct Answer C. Peaches cost more per pound than peaches.
22.
The school magazine offers you $2600 to write a 1500-word article dealing with spring-break activities. To the nearest cent, what is the rate per word? ( Remember to type a dollar sign)
Correct Answer $1.73
Explanation The rate per word can be calculated by dividing the total amount offered ($2600) by the number of words required (1500). This gives us a rate of $1.73 per word.
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23.
At Duckie’s Gas ‘n’ Stuff, Gatorade is sold in 4 different sizes as shown below. Which size is the better deal? GatoradeSize (oz)Price ($)16 $1.3924$1.8932$2.6964$5.19
Correct Answer 64 oz
Explanation The 64 oz size of Gatorade is the better deal because it offers the most amount of product for the price. Comparing the prices per ounce, the 64 oz size costs $5.19, which means each ounce of Gatorade in this size is approximately $0.081. In contrast, the other sizes have higher prices per ounce: 16 oz is $0.087 per ounce, 24 oz is $0.079 per ounce, and 32 oz is $0.084 per ounce. Therefore, the 64 oz size provides the most value for the price.
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24.
Blast from the past........... Solve the two-step equation. x is equal to2x + 6 = -12
Correct Answer -9 x = -9
Explanation The given equation is 2x + 6 = -12. To solve this equation, we need to isolate the variable x. We can start by subtracting 6 from both sides of the equation, which gives us 2x = -18. Then, we divide both sides of the equation by 2 to solve for x, which gives us x = -9. Therefore, the solution to the equation is x = -9.
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25.
In class we use technology to learn math.
A.
True
B.
False
Correct Answer A. True
Explanation The statement suggests that technology is used as a tool for learning math in class. It implies that students use devices such as computers, tablets, or calculators to enhance their understanding and practice of mathematical concepts.