FSA Algebraic Thinking 2 — Questions and Answers
Question 1: Which inequality represents 'a number n is at least 12'?
- n < 12
- n > 12
- n ≤ 12
- n ≥ 12 (Correct answer)
Correct answer: n ≥ 12
'At least 12' means n can equal 12 or be greater, so n ≥ 12 is the correct inequality.
Question 2: If f(x) = 4x + 1, what is the value of f(3)?
- 7
- 13 (Correct answer)
- 12
- 16
Correct answer: 13
Substitute x = 3: f(3) = 4(3) + 1 = 12 + 1 = 13.
Question 3: A pattern produces outputs 3, 5, 7, 9 for inputs 1, 2, 3, 4. What is the rule?
- y = x + 2
- y = 2x + 1 (Correct answer)
- y = 3x
- y = x + 3
Correct answer: y = 2x + 1
Each output equals twice the input plus 1: 2(1)+1=3, 2(2)+1=5, confirming the rule y = 2x + 1.
Question 4: Solve for m: 3m + 9 = 30
- 7 (Correct answer)
- 13
- 8
- 21
Correct answer: 7
Subtract 9 from both sides to get 3m = 21, then divide by 3 to get m = 7.
Question 5: What is the value of the expression 5(n - 2) when n = 6?
- 28
- 20 (Correct answer)
- 8
- 15
Correct answer: 20
Substitute n = 6: 5(6 - 2) = 5(4) = 20.
Question 6: Which of the following is true about the expression 4x when x = 0?
- The expression equals 4
- The expression equals 1
- The expression equals 0 (Correct answer)
- The expression is undefined
Correct answer: The expression equals 0
4 × 0 = 0, so the expression 4x equals 0 when x = 0.
Question 7: What value of t makes the equation t/4 = 6 true?
- 10
- 2
- 24 (Correct answer)
- 16
Correct answer: 24
Multiply both sides by 4: t = 6 × 4 = 24.
FSA Algebraic Thinking 2
Which inequality represents 'a number n is at least 12'?