TSI Algebraic Reasoning and Functions 3 — Questions and Answers
Question 1: A taxi charges $3 plus $2 per mile. Which equation gives the cost C for m miles?
- C = 2m + 3 (Correct answer)
- C = 3m + 2
- C = 5m
- C = 2m - 3
Correct answer: C = 2m + 3
Fixed $3 plus $2 times miles gives C = 2m + 3.
Question 2: Solve the system: y = x + 1 and y = 2x - 3.
- (4, 5) (Correct answer)
- (2, 3)
- (5, 4)
- (3, 4)
Correct answer: (4, 5)
Set x + 1 = 2x - 3, giving x = 4 and y = 5.
Question 3: What is the value of x in 5/x = 10/8?
- 4 (Correct answer)
- 2
- 16
- 6.25
Correct answer: 4
Cross-multiply: 10x = 40, so x = 4.
Question 4: Which expression represents 'seven less than twice a number n'?
- 2n - 7 (Correct answer)
- 7 - 2n
- 2(n - 7)
- 7n - 2
Correct answer: 2n - 7
Twice a number is 2n, and seven less means subtract 7.
Question 5: Simplify: 3(2x + 4) - 2(x - 1).
- 4x + 14 (Correct answer)
- 4x + 10
- 8x + 14
- 4x + 11
Correct answer: 4x + 14
6x + 12 - 2x + 2 = 4x + 14.
Question 6: If 4x + 8 = 0, what is x?
- -2 (Correct answer)
- 2
- -8
- 8
Correct answer: -2
Subtract 8 then divide by 4 to get x = -2.
Question 7: What is the domain restriction for f(x) = 1/(x - 5)?
- x ≠ 5 (Correct answer)
- x ≠ 0
- x ≠ -5
- x ≥ 5
Correct answer: x ≠ 5
The denominator cannot be zero, so x cannot equal 5.
TSI Algebraic Reasoning and Functions 3
A taxi charges $3 plus $2 per mile.
Which equation gives the cost C for m miles?