Proportions And Exponents Quiz

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| By Tjkim

Tjkim

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Quizzes Created: 25 | Total Attempts: 77,229

| Attempts: 107

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1/15 Questions

Solve

About This Quiz

This Proportions and Exponents Quiz assesses the ability to solve mathematical problems involving ratios and exponential expressions. It is designed to enhance understanding of exponent rules, focusing on making exponents positive, crucial for learners in middle and high school.

2.

Solve
Correct Answer

A.
3.

Solve
Correct Answer

A.
4.

Solve
Correct Answer

A.
5.

Solve *Hint: Make all exponents positive.
Correct Answer

A.
6.

Solve
- 5m
Correct Answer

A.
7.

Solve
- 12x
- 7xy
Correct Answer

A.

Explanation

The given expression is the product of 12x and 7xy. To simplify the expression, we can multiply the coefficients (12 and 7) to get 84. Then, we can multiply the variables (x and xy) by adding their exponents. The exponent of x is 1, and the exponent of xy is 1+1=2. So, the simplified expression is 84x^2y.

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8.

Solve
- Xy
- 1
- None of the above
Correct Answer

A. 1

Explanation

The given expression is "xy". When we multiply any number by 1, the value remains the same. Therefore, when we multiply "xy" by 1, it remains as "xy". Hence, the correct answer is 1.

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9.

Solve
Correct Answer

A.
10.
Correct Answer

A.
11.

Solve
Correct Answer

A.
12.

Joseph drives 135 miles in 2.5 hours. At the same rate, how far will he be able to travel in 6 hours?
- 810
- 324
- 125
- 300
Correct Answer

A. 324

Explanation

Joseph drives at a constant rate, so we can use the formula distance = rate × time. We are given that Joseph drives 135 miles in 2.5 hours, so we can calculate his rate as 135 miles / 2.5 hours = 54 miles per hour. Now we can use this rate to find how far Joseph will be able to travel in 6 hours. distance = rate × time = 54 miles/hour × 6 hours = 324 miles. Therefore, Joseph will be able to travel 324 miles in 6 hours.

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13.

An employee working at an electronics store earned $3582 for working 3 months during the summer. How much could the employee make if they worked for 8 months?
- 1343.25
- 149.25
- 85968
- 9552
Correct Answer

A. 9552

Explanation

If the employee earned $3582 for working 3 months, we can calculate their monthly earnings by dividing the total earnings by the number of months worked. $3582 divided by 3 is equal to $1194. Therefore, if the employee worked for 8 months, they could make $1194 per month. Multiplying $1194 by 8 gives us $9552, which is the amount the employee could make if they worked for 8 months.

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14.

In a history class, there are 6 boys for every 5 girls. How many girls are there if there are 3600 boys?
- 120
- 3000
- 4320
- 6600
Correct Answer

A. 3000

Explanation

Given that there are 6 boys for every 5 girls, we can set up a proportion to find the number of girls. If there are 3600 boys, we can write the proportion as 6/5 = 3600/x, where x represents the number of girls. Cross-multiplying, we get 6x = 5 * 3600, which simplifies to 6x = 18000. Dividing both sides by 6, we find that x = 3000. Therefore, there are 3000 girls in the history class.

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15.

If 3 pounds of apples costs $0.90, how much will 10 pounds cost?
- 3
- 27
- 2.70
- 3.30
Correct Answer

A. 3

Explanation

The cost of apples is directly proportional to the weight. Therefore, if 3 pounds of apples cost $0.90, we can calculate the cost of 10 pounds by finding the ratio of weights. The ratio of 10 pounds to 3 pounds is 10/3. Multiplying this ratio by the cost of 3 pounds, which is $0.90, we get the cost of 10 pounds of apples, which is $3.

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