IMSA Algebra and Linear Equations 2 — Questions and Answers
Question 1: Solve for x: (x/3) + 4 = 7
- x = 9 (Correct answer)
- x = 11
- x = 3
- x = 33
Correct answer: x = 9
Subtracting 4 gives x/3 = 3, then multiplying by 3 gives x = 9.
Question 2: What is the y-intercept of the line 5x - 2y = 10?
- (0, -5) (Correct answer)
- (0, 5)
- (2, 0)
- (0, 10)
Correct answer: (0, -5)
Setting x = 0 gives -2y = 10, so y = -5, making the y-intercept (0, -5).
Question 3: If f(x) = 3x - 2, what is f(4)?
- 10 (Correct answer)
- 14
- 8
- 12
Correct answer: 10
f(4) = 3(4) - 2 = 12 - 2 = 10.
Question 4: Which value of x satisfies |2x - 6| = 8?
- x = 7 or x = -1 (Correct answer)
- x = 7 or x = 1
- x = -7 or x = 1
- x = 7 only
Correct answer: x = 7 or x = -1
2x - 6 = 8 gives x = 7, and 2x - 6 = -8 gives x = -1.
Question 5: Two consecutive integers have a sum of 53. What is the larger integer?
- 27 (Correct answer)
- 26
- 28
- 25
Correct answer: 27
If n and n+1 are consecutive integers, then 2n + 1 = 53, giving n = 26 and n+1 = 27.
Question 6: What is the x-intercept of the line y = -3x + 9?
- (3, 0) (Correct answer)
- (0, 3)
- (-3, 0)
- (9, 0)
Correct answer: (3, 0)
Setting y = 0 gives -3x + 9 = 0, so x = 3, making the x-intercept (3, 0).
IMSA Algebra and Linear Equations 2
Solve for x: (x/3) + 4 = 7