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Factorize: x² + 20x + 100.
Correct answer(s):
- (x + 10)(x + 10)
Find the range of the data set: 5, 14, 20, 27, 37.
Correct answer(s):
- 32
A student can choose from 6 shirts, 2 pants, and 3 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 36
Simplify √24 as much as possible.
Correct answer(s):
- 2√6
Solve the system: 2x + 3y = 17 and 2x – 3y = 11.
Correct answer(s):
- x = 7, y = 1
If f(x) = -4x – 6, find f(2).
Correct answer(s):
- -14
Solve for x: 7x + 0 = 42.
Correct answer(s):
- 6
Expand and simplify: (x – 6)².
Correct answer(s):
- x² - 12x + 36
Solve for x: 3x + 5 = -10.
Correct answer(s):
- -5
Simplify using exponent laws: (7^5)^2.
Correct answer(s):
- 7^10
Find the slope of the line passing through (-5, 1) and (-8, -1).
Correct answer(s):
- 2/3
Simplify using exponent laws: 2^4 × 2^4.
Correct answer(s):
- 2^8
If f(x) = 5x + 7, find f(-5).
Correct answer(s):
- -18
A fair 5-section spinner and a fair 5-section spinner are spun once. What is the probability of getting one chosen section on each spinner?
Correct answer(s):
- 1/25
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 7, 9, 10, 11}, what is A′?
Correct answer(s):
- {1, 2, 4, 5, 6, 8, 12}
Solve the inequality: 7x + 9 ≤ 37.
Correct answer(s):
- x ≤ 4
Simplify √63 as much as possible.
Correct answer(s):
- 3√7
Add the matrices [[-2, 0], [-4, 5]] and [[-1, 3], [1, 4]].
Correct answer(s):
- [[-3, 3], [-3, 9]]
Solve for x: 9x + 7 = 43.
Correct answer(s):
- 4
Expand and simplify: (x – 5)².
Correct answer(s):
- x² - 10x + 25