CLAST Algebra and Functions 2 โ Questions and Answers
Question 1: What is the y-intercept of the line y = 3x โ 7?
- 3
- โ7 (Correct answer)
- 7
- 0
Correct answer: โ7
In slope-intercept form y = mx + b, the y-intercept b = โ7.
Question 2: Factor completely: xยฒ โ 9
- (x โ 3)ยฒ
- (x + 3)(x โ 3) (Correct answer)
- (x โ 9)(x + 1)
- (x โ 3)(x โ 3)
Correct answer: (x + 3)(x โ 3)
xยฒ โ 9 is a difference of two squares: (x + 3)(x โ 3).
Question 3: A linear function passes through (0, 2) and has slope 4. What is the equation?
- y = 4x
- y = 2x + 4
- y = 4x + 2 (Correct answer)
- y = 4x โ 2
Correct answer: y = 4x + 2
Using slope-intercept form with m = 4 and y-intercept = 2: y = 4x + 2.
Question 4: Solve the system: x + y = 7 and x โ y = 3
- x = 4, y = 3
- x = 5, y = 2 (Correct answer)
- x = 3, y = 4
- x = 6, y = 1
Correct answer: x = 5, y = 2
Adding the equations: 2x = 10, so x = 5; substituting: 5 + y = 7, so y = 2.
Question 5: Which of the following represents an exponential growth function?
- y = 3x + 2
- y = xยฒ
- y = 2 ยท 3หฃ (Correct answer)
- y = 1/x
Correct answer: y = 2 ยท 3หฃ
Exponential growth functions have the form y = a ยท bหฃ with b > 1; y = 2 ยท 3หฃ fits this form.
Question 6: What is the value of x if |2x โ 4| = 10?
- x = 7 only
- x = โ3 only
- x = 7 or x = โ3 (Correct answer)
- x = 3 or x = โ7
Correct answer: x = 7 or x = โ3
Setting 2x โ 4 = 10 gives x = 7; setting 2x โ 4 = โ10 gives x = โ3.
CLAST Algebra and Functions 2
What is the y-intercept of the line y = 3x โ 7?