Input and output quiz questions grade 8 math

📚 Quick Study Guide

• 🔢 Input: The value that is entered into a function or expression (often represented by 'x').
• ➡️ Output: The value that results from applying a function or expression to an input (often represented by 'y' or $f(x)$).
• 🧮 Function: A relationship where each input has only one output. It can be expressed as an equation, a table, or a graph.
• 📝 Ordered Pair: A pair of numbers (x, y) representing an input and its corresponding output in a function.
• 📊 Table of Values: A table used to organize input and output values of a function.
• ➕ Linear Function: A function whose graph is a straight line. It can be written in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
• 📐 Slope: The measure of the steepness of a line, calculated as rise over run ($\frac{\text{change in y}}{\text{change in x}}$).

✍️ Practice Quiz

1. What is the output when the input is $x = 3$ in the function $f(x) = 2x + 1$?
   1. 5
   2. 6
   3. 7
   4. 8
2. Which of the following is NOT a way to represent a function?
   1. Equation
   2. Table
   3. Graph
   4. Random Guess
3. What is the slope of the line represented by the equation $y = 5x - 3$?
   1. -3
   2. 3
   3. 5
   4. -5
4. If the input is 4 and the output is 12, which of the following functions could represent this relationship?
   1. $f(x) = x + 4$
   2. $f(x) = 2x$
   3. $f(x) = 3x$
   4. $f(x) = x - 4$
5. What is the y-intercept of the line represented by the equation $y = -2x + 6$?
   1. -2
   2. 2
   3. 6
   4. -6
6. In the function $f(x) = x^2$, what is the output when the input is -2?
   1. -4
   2. 4
   3. 0
   4. 2
7. Which ordered pair represents a solution to the equation $y = x - 5$?
   1. (2, 3)
   2. (5, 0)
   3. (1, 6)
   4. (0, -6)