FSA Practice Test (Algebra 1 End-of-Course) 1 — Questions and Answers
Question 1: What is the slope of the line passing through the points (2, 5) and (4, 9)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (9 - 5) / (4 - 2) = 4 / 2 = 2.
Question 2: Solve for x: 3x + 7 = 22
- x = 3
- x = 4
- x = 5 (Correct answer)
- x = 6
Correct answer: x = 5
Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.
Question 3: Which set of ordered pairs represents a function?
- {(1,2),(1,3),(2,4),(3,5)}
- {(1,2),(2,3),(3,4),(4,5)} (Correct answer)
- {(1,2),(2,2),(2,3),(3,4)}
- {(0,1),(0,2),(1,3),(2,4)}
Correct answer: {(1,2),(2,3),(3,4),(4,5)}
A function requires each x-value to map to exactly one y-value; only {(1,2),(2,3),(3,4),(4,5)} satisfies this.
Question 4: What is the y-intercept of the line y = 3x − 4?
- 3
- −4 (Correct answer)
- 4
- −3
Correct answer: −4
In slope-intercept form y = mx + b, the y-intercept is b, which is −4.
Question 5: Simplify: 2³ × 2⁴
- 2⁶
- 2⁷ (Correct answer)
- 2¹²
- 4⁷
Correct answer: 2⁷
When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Question 6: Which inequality best represents 'x is at most 5'?
- x > 5
- x ≥ 5
- x < 5
- x ≤ 5 (Correct answer)
Correct answer: x ≤ 5
'At most 5' means x cannot exceed 5, which is expressed as x ≤ 5.
Question 7: What is the solution to the system of equations: y = 2x + 1 and y = x + 3?
- (2, 5) (Correct answer)
- (1, 3)
- (3, 7)
- (2, 3)
Correct answer: (2, 5)
Setting 2x + 1 = x + 3 gives x = 2, and substituting back gives y = 5, so the solution is (2, 5).
FSA Practice Test (Algebra 1 End-of-Course) 1
What is the slope of the line passing through the points (2, 5) and (4, 9)?