Simplify using exponent laws: 10^6 × 10^1.
Correct answer(s):
- 10^7
Subject
Mathematics
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Simplify √250 as much as possible.
Correct answer(s):
- 5√10
Find the range of the data set: 9, 19, 21, 27, 39.
Correct answer(s):
- 30
The sequence is 7, 4, 1, -2, … . What is the 10th term?
Correct answer(s):
- -20
Expand and simplify: (x + 4)².
Correct answer(s):
- x² + 8x + 16
Solve for x: 5x – 9 = 1.
Correct answer(s):
- 2
The sequence is -6, -3, 0, 3, … . What is the 12th term?
Correct answer(s):
- 27
Solve the system: 2x + 3y = 11 and 2x – 3y = -31.
Correct answer(s):
- x = -5, y = 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
Simplify √28 as much as possible.
Correct answer(s):
- 2√7
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}
If f(x) = -2x – 7, find f(-5).
Correct answer(s):
- 3
Solve for x: 5(x – 5) – 3 = -18.
Correct answer(s):
- 2
Find the slope of the line passing through (4, 3) and (7, 2).
Correct answer(s):
- -1/3
Factorize: x² + 13x + 42.
Correct answer(s):
- (x + 7)(x + 6)
Write 68000 in scientific notation.
Correct answer(s):
- 6.8 × 10^4
Which expressions are polynomials in x?
Correct answer(s):
- 9
- x³ − x
- 5x − 7
- x² + 3x + 1
Which probabilities are impossible for an event?
Correct answer(s):
- −0.2
- 1.3
Solve the system: 1x + 2y = 9 and 2x – 3y = -31.
Correct answer(s):
- x = -5, y = 7
Find the slope of the line passing through (-2, -6) and (-5, -1).
Correct answer(s):
- -5/3