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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
If f(x) = -2x + 4, find f(4).
Correct answer(s):
- -4
Multiply the matrix [[-4, 6], [7, 1]] by 3.
Correct answer(s):
- [[-12, 18], [21, 3]]
In a class of 53 students, 15 study only Algebra, 16 study only Geometry, and 6 study both. How many study Algebra or Geometry?
Correct answer(s):
- 37
Simplify using exponent laws: 5^2 × 5^3.
Correct answer(s):
- 5^5
Simplify using exponent laws: 3^5 × 3^2.
Correct answer(s):
- 3^7
Find the slope of the line passing through (-2, -6) and (1, -9).
Correct answer(s):
- -1
Find the range of the data set: 5, 25, 26, 30, 31.
Correct answer(s):
- 26
Write 2.5e+08 in scientific notation.
Correct answer(s):
- 2.5 × 10^8
Write 0.045 in scientific notation.
Correct answer(s):
- 4.5 × 10^-2
Solve for x: 5x + 17 = 22.
Correct answer(s):
- 1