Solve the system: 2x + 3y = 11 and 2x – 3y = -31.
Correct answer(s):
- x = -5, y = 7
Subject
Advanced Mathematics
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Quizzes in Advanced Mathematics for Grade 8
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
Find the slope of the line passing through (-2, -6) and (1, -9).
Correct answer(s):
- -1
If f(x) = 3x – 2, find f(-5).
Correct answer(s):
- -17
Simplify using exponent laws: 3^5 × 3^2.
Correct answer(s):
- 3^7
Find the mode of the data set: 12, 14, 15, 20, 20, 26.
Correct answer(s):
- 20
Simplify using exponent laws: 5^2 × 5^3.
Correct answer(s):
- 5^5
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
Multiply the matrix [[-4, 6], [7, 1]] by 3.
Correct answer(s):
- [[-12, 18], [21, 3]]
If f(x) = -2x + 4, find f(4).
Correct answer(s):
- -4
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
Solve for x: 8x + 6 = -42.
Correct answer(s):
- -6
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}
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
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}