Algebra Practice Quiz

1)

0.24%

2.4%

24%

2400%

The correct answer is 24% because it is the only option that is a valid percentage. The other options, 0.24%, 2.4%, and 2400%, are not in the correct format for a percentage.

Explanation

The correct answer is 24% because it is the only option that is a valid percentage. The other options, 0.24%, 2.4%, and 2400%, are not in the correct format for a percentage.

2) Monroe started saving money. Right now he has $200 and every month he deposits $15. Harry, on the other hand, has no desire to save money. He currently has $300 and spends $10 each month. When will Monroe and Harry have the same amount of money?

3 months

4 months

20 months

100 months

Monroe starts with $200 and deposits $15 each month, while Harry starts with $300 and spends $10 each month. To find out when they will have the same amount of money, we need to calculate how many months it takes for Monroe's savings to catch up to Harry's current balance.

Each month, Monroe's savings increase by $15, while Harry's balance decreases by $10. The difference between their balances decreases by $25 every month.

In 4 months, Monroe's savings will increase by $15 x 4 = $60, and Harry's balance will decrease by $10 x 4 = $40. The difference between their balances will be reduced by $60 - $40 = $20.

Since Monroe started with $200 and Harry started with $300, the difference between their balances was initially $300 - $200 = $100.

After 4 months, the difference between their balances will be $100 - $20 = $80.

Therefore, in 4 months, Monroe and Harry will have the same amount of money.

Explanation

Monroe starts with $200 and deposits $15 each month, while Harry starts with $300 and spends $10 each month. To find out when they will have the same amount of money, we need to calculate how many months it takes for Monroe's savings to catch up to Harry's current balance.

Each month, Monroe's savings increase by $15, while Harry's balance decreases by $10. The difference between their balances decreases by $25 every month.

In 4 months, Monroe's savings will increase by $15 x 4 = $60, and Harry's balance will decrease by $10 x 4 = $40. The difference between their balances will be reduced by $60 - $40 = $20.

Since Monroe started with $200 and Harry started with $300, the difference between their balances was initially $300 - $200 = $100.

After 4 months, the difference between their balances will be $100 - $20 = $80.

Therefore, in 4 months, Monroe and Harry will have the same amount of money.

3)

$19.50

$5.27

$10.66

$9.62

not-available-via-ai

Explanation

not-available-via-ai

4) A car dealership has 160 new cars and 58 used cars. Every week, the dealership sells 4 new cars and buys 2 used cars. When will they have exactly the same number of new and used cars?

51 weeks

17 weeks

109 weeks

36 weeks

In 17 weeks, the dealership will have sold 4 new cars per week, resulting in a total of 68 new cars sold. At the same time, they will have bought 2 used cars per week, resulting in a total of 34 used cars bought. Therefore, they will have 92 new cars (160-68) and 24 used cars (58-34) left, making the number of new and used cars equal.

Explanation

In 17 weeks, the dealership will have sold 4 new cars per week, resulting in a total of 68 new cars sold. At the same time, they will have bought 2 used cars per week, resulting in a total of 34 used cars bought. Therefore, they will have 92 new cars (160-68) and 24 used cars (58-34) left, making the number of new and used cars equal.

5)

-8.3

-6.1

62.6

69.8

The given numbers are -8.3, -6.1, 62.6, and 69.8. The correct answer is 62.6. This is the only positive number among the given options. The other three numbers are negative. Therefore, 62.6 is the correct answer.

Explanation

The given numbers are -8.3, -6.1, 62.6, and 69.8. The correct answer is 62.6. This is the only positive number among the given options. The other three numbers are negative. Therefore, 62.6 is the correct answer.

6)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

7)

1,442,308 km

97,500 km

277,500 km

9,750 km

not-available-via-ai

Explanation

not-available-via-ai

8)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

9)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

10) Find the area of the rectangle.

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

11) Todd would like to plant grass in his backyard. His backyard is a rectangle that measures 12 yd by 6 yd. In the middle of his backyard is a square swimming pool that has a side of 3 yd. What is the area to be planted with grass?

63

69

216

66

The area to be planted with grass can be found by subtracting the area of the swimming pool from the total area of the backyard. The area of the backyard is 12 yards by 6 yards, which equals 72 square yards. The area of the swimming pool is 3 yards by 3 yards, which equals 9 square yards. Subtracting 9 from 72 gives us an area of 63 square yards to be planted with grass.

Explanation

The area to be planted with grass can be found by subtracting the area of the swimming pool from the total area of the backyard. The area of the backyard is 12 yards by 6 yards, which equals 72 square yards. The area of the swimming pool is 3 yards by 3 yards, which equals 9 square yards. Subtracting 9 from 72 gives us an area of 63 square yards to be planted with grass.

12)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

13)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

14) Johnny Appleseed needs some grass in his backyard so he can plant some apple trees. His backyard is a rectangle that measures 30 ft by 93 ft. In the middle of his backyard is a circular swimming pool that has a radius of 6 ft. What is the area to be planted with grass?

2677 square feet

2762 square feet

10 square feet

2790 square feet

To find the area to be planted with grass, we need to find the area of the rectangular backyard and subtract the area of the circular swimming pool. The area of the rectangular backyard is calculated by multiplying its length (30 ft) by its width (93 ft), which gives us 2790 square feet. The area of the circular swimming pool is calculated by multiplying the square of its radius (6 ft) by pi (approximately 3.14), which gives us 113.04 square feet. Subtracting the area of the pool from the area of the backyard gives us 2676.96 square feet, which can be rounded to 2677 square feet.

Explanation

To find the area to be planted with grass, we need to find the area of the rectangular backyard and subtract the area of the circular swimming pool. The area of the rectangular backyard is calculated by multiplying its length (30 ft) by its width (93 ft), which gives us 2790 square feet. The area of the circular swimming pool is calculated by multiplying the square of its radius (6 ft) by pi (approximately 3.14), which gives us 113.04 square feet. Subtracting the area of the pool from the area of the backyard gives us 2676.96 square feet, which can be rounded to 2677 square feet.

15)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

16)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

17)

A line is parallel to the line above and goes through point A. What is the y-intercept of the new line?

(0, 3)

(3, -3)

(0, 0)

(0, -1)

The y-intercept of a line is the point where the line crosses the y-axis. In this case, the line is parallel to the line above and goes through point A, which means it has the same slope as the line above. Since the y-intercept of the line above is (0, -1), the new line will also have the same y-intercept. Therefore, the y-intercept of the new line is (0, -1).

Explanation

The y-intercept of a line is the point where the line crosses the y-axis. In this case, the line is parallel to the line above and goes through point A, which means it has the same slope as the line above. Since the y-intercept of the line above is (0, -1), the new line will also have the same y-intercept. Therefore, the y-intercept of the new line is (0, -1).

18)

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

19) Find the perimeter of the rectangle.

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai