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Linear Equations Introduction
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Linear Equations Introduction
📚 Part 1: Identifying Equation Components
1. In the equation 5x + 7 = 17, what is the coefficient?
x
5
7
17
2. Which of the following are constants in the equation 3y - 8 = 14? (Check all that apply)
3
y
8
14
3. What is the variable in the equation 2x + 9 = 15?
2
x
9
15
4. Complete the sentence: In a linear equation, the __________ is the unknown value we are solving for.
Answer: ____________________
✏️ Part 2: Solving Linear Equations
5. Solve the equation: 3x = 15
x = _______
6. Solve the equation: 5x + 7 = 17
x = _______
7. Check your answer from question 6 by substituting it back into the original equation. Show your work.
8. A movie theater charges the same price for each ticket. If 4 tickets cost $32, write and solve an equation to find the cost of one ticket.
Equation: ____________________
Cost per ticket: $ _______
🎯 Part 3: Real-World Applications
9. Sarah has some money and earns $15 more babysitting. She now has $35 total. How much money did she start with?
Write an equation using x for the starting amount: ____________________
Sarah started with: $ _______
10. Explain in your own words what it means to "solve" a linear equation.
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