mathematics beginner 10 sample questions

Algebra Functions MCQ Practice Test

Input-output relationships and mapping

Q1. A function f(x) is defined as f(x) = 2x + 1. What is the value of f(3) + f(-2)?

Explanation: f(3) = 2(3) + 1 = 7 and f(-2) = 2(-2) + 1 = -3, so f(3) + f(-2) = 7 + (-3) = 4.

Q2. The function f(x) = 2x + 5 is reflected in the y-axis. What is the equation of the reflected function?

Explanation: When a function is reflected in the y-axis, the x term is negated. So, the equation of the reflected function is f(x) = -2x - 5.

Q3. Solve for y in the equation y = −2x + 5, given that x is 3.

Explanation: Substituting x = 3 into y = -2x + 5: y = -2(3) + 5 = -6 + 5 = -1.

Q4. A function f(x) is defined as f(x) = 2x + 1. If the function is shifted 3 units to the left, what is the new function f(x)?

Explanation: Shifting a graph 3 units left replaces x with (x + 3): g(x) = f(x + 3) = 2(x + 3) + 1 = 2x + 7. The old key, 2(x − 3) + 1, is the shift to the RIGHT, and the old explanation even derived (x + 3) before contradicting itself.

Q5. What is the value of f(-2) for the function f(x) = 2x^2 + 5x - 3?

Explanation: Substituting x = -2: f(-2) = 2(-2)^2 + 5(-2) - 3 = 2(4) - 10 - 3 = 8 - 10 - 3 = -5. The old key was a meta-sentence admitting -5 was missing from the options, and the old explanation looped endlessly without committing.

Q6. The function f(x) = 2x + 5 is reflected across the y-axis. What is the equation of the new function after reflection?

Explanation: When a function is reflected across the y-axis, the x term is negated. Therefore, f(-x) = 2(-x) + 5 = -2x + 5 is the equation of the new function.

Q7. A function f(x) is defined as f(x) = 2x^2 + 5x - 3. What is the value of f(-1)?

Explanation: To find the value of f(-1), substitute x = -1 into the function f(x) = 2x^2 + 5x - 3. This gives f(-1) = 2(-1)^2 + 5(-1) - 3 = 2(1) - 5 - 3 = 2 - 5 - 3 = -6.

Q8. What is the value of f(-1) for the function f(x) = 2x^2 + 5x - 3?

Explanation: Substituting x = -1: f(-1) = 2(-1)^2 + 5(-1) - 3 = 2(1) - 5 - 3 = 2 - 5 - 3 = -6. The old options omitted -6 and the old explanation spun in circles computing it without ever correcting the key.

Q9. Which of the following functions satisfies f(3) = 11?

Explanation: Substituting x = 3: f(x) = 2x + 5 gives 2(3) + 5 = 11, so it is the function satisfying the condition. The distractors give 7, 8, and 8 respectively. The original stem asked to "find x" while the options were functions, so it was reworded to ask for the function.

Q10. If f(x) = 2x^2 + 3x - 1 and g(x) = x^2 - 2x + 1, what is the value of (f ∗ g)(2)?

Explanation: To find the value of (f ∗ g)(2), we need to multiply the two functions f(x) and g(x) at x = 2. This means we need to substitute x = 2 into both functions and then multiply the results. The correct expression for (f ∗ g)(2) is obtained by multiplying the two expressions for f(2) and g(2).

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Algebra Functions MCQ Practice Test | Mind Hustle