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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
Find the slope of the line passing through (-4, 0) and (-6, 5).
Correct answer(s):
- -5/2
Simplify using exponent laws: (7^3)^4.
Correct answer(s):
- 7^12
Write 7.2e+06 in scientific notation.
Correct answer(s):
- 7.2 × 10^6
A bag has 3 red, 6 blue, and 5 green marbles. What is the probability of choosing a red marble?
Correct answer(s):
- 3/14
Let A = {3, 5, 6, 9, 10, 11} and B = {6, 7, 10, 11, 13, 17}. What is A ∩ B?
Correct answer(s):
- {6, 10, 11}
In a class of 37 students, 18 study only Algebra, 13 study only Geometry, and 11 study both. How many study Algebra or Geometry?
Correct answer(s):
- 42
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {2, 4, 6, 9, 10}, what is A′?
Correct answer(s):
- {1, 3, 5, 7, 8, 11, 12}
Solve for x: 8x + 6 = -42.
Correct answer(s):
- -6
A fair 4-section spinner and a fair 3-section spinner are spun once. What is the probability of getting one chosen section on each spinner?
Correct answer(s):
- 1/12