Simplify √24 as much as possible.
Correct answer(s):
- 2√6
Subject
Mathematics
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A student can choose from 6 shirts, 2 pants, and 3 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 36
Find the range of the data set: 5, 14, 20, 27, 37.
Correct answer(s):
- 32
Factorize: x² + 20x + 100.
Correct answer(s):
- (x + 10)(x + 10)
Let A = {3, 7, 10, 14, 17} and B = {1, 4, 6, 7, 10, 14}. What is A ∩ B?
Correct answer(s):
- {7, 10, 14}
Which ordered pairs satisfy y = 2x − 1?
Correct answer(s):
- (1, 1)
- (−1, −3)
- (3, 5)
- (2, 3)
The sequence is 13, 10, 7, 4, … . What is the 15th term?
Correct answer(s):
- -29
The sequence is 3, 10, 17, 24, … . What is the 15th term?
Correct answer(s):
- 101
Simplify using exponent laws: 2^4 × 2^4.
Correct answer(s):
- 2^8
Find the slope of the line passing through (-5, 1) and (-8, -1).
Correct answer(s):
- 2/3
In a class of 36 students, 17 study only Algebra, 9 study only Geometry, and 6 study both. How many study Algebra or Geometry?
Correct answer(s):
- 32
Simplify using exponent laws: (7^5)^2.
Correct answer(s):
- 7^10
Expand and simplify: (x – 8)².
Correct answer(s):
- x² - 16x + 64
Expand and simplify: (x + 1)².
Correct answer(s):
- x² + 2x + 1
Let A = {1, 5, 11, 12, 13} and B = {3, 6, 8, 10, 11}. What is A ∪ B?
Correct answer(s):
- {1, 3, 5, 6, 8, 10, 11, 12, 13}
Which of the following numbers are prime numbers? Select all correct answers.
Correct answer(s):
- 2
- 3
- 5
Simplify √112 as much as possible.
Correct answer(s):
- 4√7
Expand and simplify: (x – 5)².
Correct answer(s):
- x² - 10x + 25
Solve for x: 9x + 7 = 43.
Correct answer(s):
- 4
Add the matrices [[-2, 0], [-4, 5]] and [[-1, 3], [1, 4]].
Correct answer(s):
- [[-3, 3], [-3, 9]]