Functions and Linear Equations
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Functions and Linear Equations
Functions and Inputs
Decide whether each input-output relationship is a function. A function assigns exactly one output to every input.
- Yes, because each input has exactly one output.
- No, because the outputs are different.
- No, because there are three input values.
- Yes, but only if the outputs are positive.
- Yes, because each input (number of hours) has one output (fee).
- No, because the fee can be greater than one dollar.
- No, because hours are inputs.
- Yes, because every function must have a different output for every input.
Linear Functions: y = mx + b
Identify the slope and y-intercept, and connect each part of the equation to its meaning.
- m
- b
- x
- y
- The y-value where the line crosses the y-axis
- The slope, or rate of change
- The input, or independent variable
- The output, or dependent variable
- It rises 5 units for each 1-unit increase in x.
- It crosses the y-axis at 5.
- It falls 1 unit for each 5-unit increase in x.
- It is horizontal and has a y-value of 5.
- y = 3x − 2
- y = −2x + 3
- y = 3x + 2
- y = −3x − 2
Solve One-Step Equations
Use inverse operations to isolate the variable. Keep an equation balanced by doing the same operation to both sides.
- Subtract 11
- Add 11
- Multiply by 11
- Divide by 11
3 printable pages
Page 1
Page 2
Page 3
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