Diagnostic Assessment in General Mathematics

1. Which of the following does NOT show a one-to-one correspondence?

• a. the principal and the teachers in a school

• b. the class advisers and the sections in all levels of school

• c. the locks and keys in every room in a school building

• d. the seats for the students in all rooms of a school building

2. Elaine bought a cake-making kit. She sells 1 lb. cakes for Php. 75 each. Which of the following represents function C that shows how much she earns selling p pounds of cake?

• a. C(p) = 75p

• b. C(p) = 75p + 150

• c. C(p) = 75p + p

• d. C(p) = 75 + p

3. If 𝑓(𝑥) = 𝑥 + 5 and 𝑔(𝑥) = 2𝑥 − 8, then which of the following is equal to (𝑓 + 𝑔)(𝑥)?

• a. 3𝑥 − 3

• b. 3𝑥 + 3

• c. −𝑥 − 3

• d. 𝐶 − 𝑥 + 3

4. If 𝑓(𝑥) = 𝑥 − 10 and 𝑔(𝑥) = 3𝑥 − 2, then which of the following is equal to (𝑓 − 𝑔)(𝑥)?

• a. −2𝑥 + 8

• b. 2𝑥 + 8

• c. 2𝑥 − 8

• d. 𝐶 − 2𝑥 –8

5. How will you represent the speed of a runner as a function of the time it takes to run 100 meters in thetrack?

• a. 𝑓(𝑥) = 𝑥 + 100

• c. 𝑓(𝑥)= 100x

• d. (𝑓)(𝑥) = 𝑥 – 100

6. Which of the following is NOT a rational function?

8. In each item below are groups of five expressions. Choose the item that DOES NOT belong with the other four and write only the letter of the correct answer.

• a. {(1,1),(2,2),(3,3)}

• b. {(0,2),(2,4),(3,6)}

• c. {(1,3),(1,6),(1,9)}

• d. {(5,8),(3,8),(1,8)}

• e. {(9,6),(8,5),(7,4)}

9. In each item below are groups of five expressions. Choose the item that DOES NOT belong with the other four and write only the letter of the correct answer.

10. In each item below are groups of five expressions. Choose the item that DOES NOT belong with the other four and write only the letter of the correct answer.