Find the mean of the data set: 4, 9, 18, 28, 32.
Correct answer(s):
- 91/5
Subject
Advanced Mathematics
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Quizzes in Advanced Mathematics for Grade 8
If f(x) = 6x + 6, find f(-4).
Correct answer(s):
- -18
Factorize: x² + 14x + 45.
Correct answer(s):
- (x + 9)(x + 5)
Find the mode of the data set: 6, 21, 25, 25, 26, 31.
Correct answer(s):
- 25
Find the slope of the line passing through (3, 5) and (7, 7).
Correct answer(s):
- 1/2
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
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
Write 7.2e+06 in scientific notation.
Correct answer(s):
- 7.2 × 10^6
Simplify using exponent laws: (7^3)^4.
Correct answer(s):
- 7^12
Write 2.5e+08 in scientific notation.
Correct answer(s):
- 2.5 × 10^8
Find the slope of the line passing through (-4, 0) and (-6, 5).
Correct answer(s):
- -5/2
Find the range of the data set: 5, 25, 26, 30, 31.
Correct answer(s):
- 26
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 (-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