FSA Practice Test (Algebra 1 End-of-Course) 2 โ Questions and Answers
Question 1: Factor the trinomial: xยฒ + 5x + 6
- (x + 1)(x + 6)
- (x + 2)(x + 3) (Correct answer)
- (x โ 2)(x โ 3)
- (x + 3)(x + 4)
Correct answer: (x + 2)(x + 3)
Find two numbers that multiply to 6 and add to 5; those are 2 and 3, giving (x + 2)(x + 3).
Question 2: What are the solutions of xยฒ โ 9 = 0?
- x = 3 only
- x = โ3 only
- x = ยฑ3 (Correct answer)
- x = ยฑ9
Correct answer: x = ยฑ3
xยฒ = 9 gives x = โ9 = ยฑ3, so both x = 3 and x = โ3 are solutions.
Question 3: What is the domain of f(x) = โ(x โ 4)?
- x โค 4
- x โฅ 4 (Correct answer)
- All real numbers
- x > 0
Correct answer: x โฅ 4
The expression under a square root must be non-negative, so x โ 4 โฅ 0, which means x โฅ 4.
Question 4: An arithmetic sequence begins 3, 7, 11, 15, ... What is the 10th term?
- 39 (Correct answer)
- 40
- 41
- 43
Correct answer: 39
Using aโ = aโ + (nโ1)d with aโ = 3, d = 4, aโโ = 3 + 9(4) = 39.
Question 5: Simplify: โ75
- 5โ3 (Correct answer)
- 7โ3
- 5โ5
- 3โ5
Correct answer: 5โ3
โ75 = โ(25 ร 3) = โ25 ร โ3 = 5โ3.
Question 6: Which equation represents exponential growth?
- y = 2x + 5
- y = xยฒ
- y = 2(1.5)หฃ (Correct answer)
- y = โ3x + 2
Correct answer: y = 2(1.5)หฃ
Exponential growth has the form y = a ยท bหฃ where b > 1; y = 2(1.5)หฃ fits this pattern.
Question 7: What is the vertex of f(x) = xยฒ โ 4x + 3?
- (2, โ1) (Correct answer)
- (2, 1)
- (โ2, โ1)
- (4, 3)
Correct answer: (2, โ1)
The x-coordinate of the vertex is x = โb/2a = 4/2 = 2, and f(2) = 4 โ 8 + 3 = โ1, giving vertex (2, โ1).
FSA Practice Test (Algebra 1 End-of-Course) 2
Factor the trinomial: xยฒ + 5x + 6