Algebra Practice Quiz

1.

Find the perimeter of the rectangle.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
2.

Find the area of the rectangle.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B
3.
- A.
  
  1,442,308 km
- B.
  
  97,500 km
- C.
  
  277,500 km
- D.
  
  9,750 km
Correct Answer
B. 97,500 km
4.
- A.
  
  $19.50
- B.
  
  $5.27
- C.
  
  $10.66
- D.
  
  $9.62
Correct Answer
A. $19.50
5.
- A.
  
  0.24%
- B.
  
  2.4%
- C.
  
  24%
- D.
  
  2400%
Correct Answer
C. 24%

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.

Rate this question:

1
0
6.
- A.
  
  -8.3
- B.
  
  -6.1
- C.
  
  62.6
- D.
  
  69.8
Correct Answer
C. 62.6

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.

Rate this question:
7.

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?
- A.
  
  63
- B.
  
  69
- C.
  
  216
- D.
  
  66
Correct Answer
A. 63

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.

Rate this question:

1
0
8.

A line is parallel to the line above and goes through point A. What is the y-intercept of the new line?
- A.
  
  (0, 3)
- B.
  
  (3, -3)
- C.
  
  (0, 0)
- D.
  
  (0, -1)
Correct Answer
D. (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).

Rate this question:

1
1
9.

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?
- A.
  
  2677 square feet
- B.
  
  2762 square feet
- C.
  
  10 square feet
- D.
  
  2790 square feet
Correct Answer
A. 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.

Rate this question:

2
1
10.

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?
- A.
  
  51 weeks
- B.
  
  17 weeks
- C.
  
  109 weeks
- D.
  
  36 weeks
Correct Answer
B. 17 weeks

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.

Rate this question:
11.

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?
- A.
  
  3 months
- B.
  
  4 months
- C.
  
  20 months
- D.
  
  100 months
Correct Answer
B. 4 months

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.

Rate this question:
12.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
D. D
13.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
14.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
15.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
16.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
D. D
17.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B
18.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
19.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C

Algebra Practice Quiz

Find the perimeter of the rectangle.

Find the area of the rectangle.

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?

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

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?

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?

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?