FSA Practice Test (Algebra 1 End-of-Course) 2

Question 1

Factor the trinomial: x² + 5x + 6

Accepted Answer

(x + 2)(x + 3)

Answer

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 x² − 9 = 0?

Accepted Answer

x = ±3

Answer

x² = 9 gives x = √9 = ±3, so both x = 3 and x = −3 are solutions.

Question 3

What is the domain of f(x) = √(x − 4)?

Accepted Answer

x ≥ 4

Answer

The expression under a square root must be non-negative, so x − 4 ≥ 0, which means x ≥ 4.

Question 4

An arithmetic sequence begins 3, 7, 11, 15, ... What is the 10th term?

Accepted Answer

39

Answer

Using aₙ = a₁ + (n−1)d with a₁ = 3, d = 4, a₁₀ = 3 + 9(4) = 39.

Question 5

Simplify: √75

Accepted Answer

5√3

Answer

√75 = √(25 × 3) = √25 × √3 = 5√3.