If f(x) = -2x + 1, find f(-3).
Correct answer(s):
- 7
Subject
Mathematics
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Simplify using exponent laws: 2^3 × 2^4.
Correct answer(s):
- 2^7
Solve the inequality: 3x + 7 ≤ 1.
Correct answer(s):
- x ≤ -2
A student can choose from 5 shirts, 4 pants, and 1 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 20
Factorize: x² – 9.
Correct answer(s):
- (x + 3)(x - 3)
Solve for x: 10x – 9 = 31.
Correct answer(s):
- 4
The sequence is 4, 1, -2, -5, … . What is the 15th term?
Correct answer(s):
- -38
Factorize: x² – 121.
Correct answer(s):
- (x + 11)(x - 11)
Solve for x: 12x – 4 = -64.
Correct answer(s):
- -5
Expand and simplify: (x + 6)².
Correct answer(s):
- x² + 12x + 36
A bag has 5 red, 8 blue, and 4 green marbles. What is the probability of choosing a red marble?
Correct answer(s):
- 5/17
A bag has 4 red, 6 blue, and 3 green marbles. What is the probability of choosing a red marble?
Correct answer(s):
- 4/13
The sequence is 7, 5, 3, 1, … . What is the 10th term?
Correct answer(s):
- -11
Simplify using exponent laws: (10^2)^3.
Correct answer(s):
- 10^6
Let A = {1, 2, 9, 13, 17} and B = {9, 10, 13, 15, 17}. What is A ∩ B?
Correct answer(s):
- {9, 13, 17}
Simplify using exponent laws: 10^5 × 10^2.
Correct answer(s):
- 10^7
Find the median of the data set: 16, 27, 29, 34, 38.
Correct answer(s):
- 29
Find the median of the data set: 8, 14, 29, 30, 32.
Correct answer(s):
- 29
Add the matrices [[7, 5], [1, -3]] and [[5, 3], [5, 7]].
Correct answer(s):
- [[12, 8], [6, 4]]
Find the mode of the data set: 9, 10, 14, 24, 39, 39.
Correct answer(s):
- 39