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Linear Equations Introduction
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Linear Equations Introduction
📊 Part 1: Understanding Linear Equations
1. A linear equation is an equation that makes a _____________ when graphed.
2. Circle the parts of this linear equation: y = 5x + 3
Variable: x and y
Coefficient: 5
Constant: 3
All of the above
3. Sarah earns $8 per hour babysitting. Which equation represents her total earnings?
y = 8 + x
y = 8x
y = x + 8
y = 8 - x
4. In the equation y = 12x + 25, what does the number 12 represent?
The starting amount
The rate of change per unit
The total amount
The variable
🔍 Part 2: Real-World Applications
5. A taxi charges $3 to start the ride plus $2 for each mile. Write a linear equation where y = total cost and x = miles traveled.
Equation: y = _____________
6. For the equation y = 15x + 10, explain what each part means in a real-world context:
7. Match each equation part with its definition:
Variable (x or y)
Coefficient
Constant
A fixed number that doesn't change
A symbol representing an unknown value
The number multiplying the variable
💡 Part 3: Create Your Own
8. Think of a real-life situation that could be represented by a linear equation. Describe the situation and write the equation:
Situation:
Linear Equation: y = _____________
What does x represent? _________________________
What does y represent? _________________________
9. Using your equation from question 8, calculate the output (y) when the input (x) equals 4:
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