TSI Algebraic Reasoning and Functions 3

Question 1

A taxi charges $3 plus $2 per mile. Which equation gives the cost C for m miles?

Accepted Answer

C = 2m + 3

Answer

Fixed $3 plus $2 times miles gives C = 2m + 3.

Question 2

Solve the system: y = x + 1 and y = 2x - 3.

Accepted Answer

(4, 5)

Answer

Set x + 1 = 2x - 3, giving x = 4 and y = 5.

Question 3

What is the value of x in 5/x = 10/8?

Accepted Answer

4

Answer

Cross-multiply: 10x = 40, so x = 4.

Question 4

Which expression represents 'seven less than twice a number n'?

Accepted Answer

2n - 7

Answer

Twice a number is 2n, and seven less means subtract 7.

Question 5

Simplify: 3(2x + 4) - 2(x - 1).

Accepted Answer

4x + 14

Answer

6x + 12 - 2x + 2 = 4x + 14.

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