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General Mathematics (SHS) Practice Questions — Set 1

10 free General Mathematics (SHS) reviewer questions with answers and explanations. Pindutin ang sagot mo para makita agad kung tama — kasama na ang paliwanag. Set 1 of 5.

1

A local delivery service charges a base fee of ₱50 plus ₱10 for every kilometer traveled. Which of the following functions correctly models the total cost (C) in terms of the distance (d) in kilometers?

2

A sari-sari store owner wants to determine the profit function for selling canned goods. If the cost to buy each can is ₱25 and they are sold for ₱35, with fixed monthly utilities costing ₱500, what is the profit function P(x) for selling x cans?

3

Consider the rational function f(x) = (2x + 4)⁄(x - 3). What is the vertical asymptote of this function?

4

If a certain bacteria culture doubles every 4 hours, and there are initially 100 bacteria, how many bacteria will be present after 12 hours?

5

In the context of logic, which of the following is the contrapositive of the statement: 'If it is a square, then it is a rectangle'?

6

Which of the following describes a function where every element in the domain is mapped to exactly one element in the range?

7

Evaluate the function f(x) = 3x² - 5x + 2 at x = -2.

8

If f(x) = x + 7 and g(x) = 2x - 3, what is (f + g)(x)?

9

What is the result of the composition (f ∘ g)(x) if f(x) = x² and g(x) = x - 5?

10

Solve the rational equation: 3 / x = 9⁄(x + 4).