Middle School Mathematics
(Content Knowledge)
COMPLETE FA REVIEW
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,1. Multiple Choice: If \( x \) and \( y \) are inversely proportional
and \( x = 4 \) when \( y = 8 \), what is the value of \( y \) when \( x =
16 \)?
- A) 2
- B) 4
- C) 8
- D) 16
Correct Answer: A) 2
Rationale: Since \( x \) and \( y \) are inversely proportional, \( xy
= k \). Therefore, \( 4 \times 8 = 32 \) and \( 16 \times y = 32 \),
which means \( y = 2 \).
2. Fill-in-the-Blank: The sum of the angles in any triangle is
_______ degrees.
Correct Answer: 180
Rationale: The sum of the angles in a triangle is always 180
degrees due to the geometric properties of triangles.
3. True/False: The equation \( 5x - 3 = 2x + 4 \) has no solution.
- True
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, - False
Correct Answer: False
Rationale: Solving the equation for \( x \) gives a single solution, \(
x = \frac{7}{3} \).
4. Multiple Response: Select all the prime numbers below.
- A) 22
- B) 37
- C) 49
- D) 53
Correct Answers: B) 37, D) 53
Rationale: Prime numbers are numbers greater than 1 that have
no divisors other than 1 and themselves. Among the options, only
37 and 53 fit this definition.
5. Multiple Choice: What is the next number in the sequence 2, 4,
8, 16, ___?
- A) 24
- B) 32
- C) 48
- D) 64
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