Which probabilities are impossible for an event?
Correct answer(s):
- −0.2
- 1.3
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Write 68000 in scientific notation.
Correct answer(s):
- 6.8 × 10^4
Factorize: x² + 13x + 42.
Correct answer(s):
- (x + 7)(x + 6)
Find the slope of the line passing through (4, 3) and (7, 2).
Correct answer(s):
- -1/3
Solve for x: 5(x – 5) – 3 = -18.
Correct answer(s):
- 2
If f(x) = -2x – 7, find f(-5).
Correct answer(s):
- 3
Let A = {5, 9, 11, 12, 15, 16} and B = {4, 5, 9, 12, 16}. What is A ∩ B?
Correct answer(s):
- {5, 9, 12, 16}
Simplify √28 as much as possible.
Correct answer(s):
- 2√7
A fair 5-section spinner and a fair 2-section spinner are spun once. What is the probability of getting one chosen section on each spinner?
Correct answer(s):
- 1/10
Solve the system: 2x + 3y = 11 and 2x – 3y = -31.
Correct answer(s):
- x = -5, y = 7
Find the slope of the line passing through (3, 5) and (7, 7).
Correct answer(s):
- 1/2
Find the mode of the data set: 6, 21, 25, 25, 26, 31.
Correct answer(s):
- 25
Factorize: x² + 14x + 45.
Correct answer(s):
- (x + 9)(x + 5)
Find the mean of the data set: 4, 9, 18, 28, 32.
Correct answer(s):
- 91/5
Find the slope of the line passing through (-4, -6) and (-7, -1).
Correct answer(s):
- -5/3
Solve the system: 1x + 2y = 9 and 2x – 3y = -31.
Correct answer(s):
- x = -5, y = 7
Which expressions are polynomials in x?
Correct answer(s):
- 9
- x³ − x
- 5x − 7
- x² + 3x + 1
Find the mode of the data set: 12, 14, 15, 20, 20, 26.
Correct answer(s):
- 20
If f(x) = 3x – 2, find f(-5).
Correct answer(s):
- -17
Solve the system: 3x + 1y = 18 and 1x – 2y = 6.
Correct answer(s):
- x = 6, y = 0