Algebra 1 Quiz Lesson 2-7 To 2-11
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On a map, the distance between Jacksonville, FL and Tallahassee, FL is about 8 inches. According to the scale, 1 inch represents 20 miles. About how far apart are the two cities? (leave the number as the answer).
About This Quiz
This Algebra 1 Quiz covers lessons from 2-7 to 2-11, testing skills in solving proportions, scale models, and area calculations. It assesses understanding of real-world applications of algebra, enhancing students' problem-solving abilities and preparing them for advanced mathematical challenges.
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- 2.
A utility worker is 5.5 feet tall and is castig a shadow 4 feet long. At the same time, a nearby utility pole casts a shadow 20 feet long. Find the height of the utility pole. (leave the number as the answer).
Explanation
The height of the utility pole can be found using the concept of similar triangles. The ratio of the height of the utility worker to the length of their shadow is the same as the ratio of the height of the utility pole to the length of its shadow. Therefore, we can set up the proportion: (Height of utility worker)/(Length of utility worker's shadow) = (Height of utility pole)/(Length of utility pole's shadow). Plugging in the given values, we get (5.5 feet)/(4 feet) = (Height of utility pole)/(20 feet). Solving for the height of the utility pole, we find that it is 27.5 feet.Rate this question:
- 3.
A rectangle has an area of 48 . Every dimension of the rectangle is multiplied by a scale factor and the new rectangle has an area of 12 . What was the scale factor? (leave the number as the answer).
Explanation
The scale factor is the ratio of the new area to the original area. In this case, the new area is 12 and the original area is 48. Therefore, the scale factor is 12/48 = 1/4 = 0.25. However, none of the given answer choices match this value. So, the correct answer is not available.Rate this question:
- 4.
Solve the proportion A hair salon rent booths for $200 per month plus a 5% commission on receipts. How rent does Qiana owe for one month when her receipts total $4500? (leave the number as the answer).
Explanation
Qiana owes $425 for one month's rent. This is calculated by adding the $200 base rent to the 5% commission on her receipts, which is $225 (5% of $4500). The total rent owed is $200 + $225 = $425.Rate this question:
- 5.
After 9 mounts, the simple interest earned on an investment of $1200 is $72. Find the interest rate. (leave the number as the answer).
Explanation
After 9 months, the simple interest earned on an investment of $1200 is $72. To find the interest rate, we can use the formula for simple interest: Interest = (Principal * Rate * Time) / 100. Plugging in the given values, we have 72 = (1200 * Rate * 9) / 100. Solving for the rate, we get Rate = (72 * 100) / (1200 * 9) = 8%. Therefore, the interest rate is 8%.Rate this question:
- 6.
The sales tax rate is 8.25%. estimate the sales tax on the book taht costs $18.50.
Explanation
The sales tax rate is 8.25%, which means that for every dollar spent, 8.25 cents will be added as tax. To estimate the sales tax on the book that costs $18.50, we can multiply the cost by the tax rate. 8.25% of $18.50 is approximately $1.53. Therefore, the correct answer is 1.53.Rate this question:
- 7.
After 8 mounts, the simple interest earned annually on an investment of $4500 is $165. What is the interest rate?
Explanation
The interest rate can be calculated by dividing the annual interest earned ($165) by the principal amount ($4500) and multiplying by 100 to convert it to a percentage. Therefore, the interest rate is 3.67%. However, the given answer options are 5.5 and 5.5%, both of which are incorrect.Rate this question:
- 8.
Estimate the tax on a digital camera taht costs $399 with a 6.25% sales tax. (leave the number as the answer).
Explanation
The correct answer is 24.94. To calculate the tax on the digital camera, we multiply the cost of the camera ($399) by the sales tax rate (6.25%). This gives us $24.9375, which rounds up to $24.94. Therefore, the correct answer is 24.94.Rate this question:
- 9.
A pharmacy discount card gives the user 40% off prescriptions. Mr. Allen's cholesterol medicadion normally costs $96.50. What is the final price with the discount card?
Explanation
The final price with the discount card can be calculated by subtracting 40% of the original price from the original price. 40% of $96.50 is $38.60. Subtracting $38.60 from $96.50 gives us $57.90.Rate this question:
- 10.
Ron has a model car. The scale of the model to the actual car is 1:10. The length of the model car is 15 inches. How long os the actual car? (leave the number as the answer).
Explanation
The scale of the model car to the actual car is 1:10. This means that every inch on the model car represents 10 inches on the actual car. The length of the model car is 15 inches, so the length of the actual car would be 15 multiplied by 10, which equals 150 inches. Therefore, the length of the actual car is 150 inches.Rate this question:
- 11.
Solve the proportion
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-2
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8
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-4
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4
Correct Answer
A. -4Explanation
To solve the proportion, we need to cross-multiply. Multiply the first term of the first ratio (-2) with the second term of the second ratio (4), and multiply the second term of the first ratio (8) with the first term of the second ratio (-4). This gives us (-2 * 4) = (-4 * 8). Simplifying this equation gives us -8 = -32. Therefore, the answer is -4.Rate this question:
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- 12.
Solve the proportion
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1
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2
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3
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4
Correct Answer
A. 4 -
- 13.
Find the value 50% of 98
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59
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69
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49
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39
Correct Answer
A. 49Explanation
To find 50% of 98, we divide 98 by 2. This gives us 49, which is the correct answer.Rate this question:
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- 14.
Find the value 130% of 50
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55
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58
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65
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68
Correct Answer
A. 65Explanation
To find 130% of 50, we can multiply 50 by 1.3. This gives us 65. Therefore, the correct answer is 65.Rate this question:
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- 15.
Find the value 18 is 40% of what number?
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35
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95
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25
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45
Correct Answer
A. 45Explanation
If 18 is 40% of a number, we can set up the equation 0.4x = 18, where x represents the unknown number. To solve for x, we divide both sides of the equation by 0.4. This gives us x = 18/0.4 = 45. Therefore, the number that 18 is 40% of is 45.Rate this question:
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- 16.
A gas station purchases fuel at a wholesale price of $1.75 per gallon. The price is marked up 8%. What is the selling proce per gallon?
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$1.80
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$1.90
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$1.89
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$2.00
Correct Answer
A. $1.89Explanation
The gas station purchases fuel at a wholesale price of $1.75 per gallon. To calculate the selling price, we need to add the markup percentage. The markup percentage is 8% of $1.75, which is $0.14. Adding this markup to the wholesale price gives us a selling price of $1.89 per gallon.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
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Feb 24, 2012Quiz Created by
Brianquiro