Real-world examples of one-step equations involving multiplication

📚 Quick Study Guide

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• One-Step Equation: An equation that can be solved in just one step.
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• Multiplication Equations: Involve a variable multiplied by a constant.
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• Solving: Use the inverse operation (division) to isolate the variable.
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• General Form: $ax = b$, where $a$ and $b$ are constants, and $x$ is the variable.
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• Solution: To solve for $x$, divide both sides by $a$: $x = \frac{b}{a}$

Practice Quiz

1. What is the value of $x$ in the equation $3x = 12$?
1. $x = 36$
2. $x = 4$
3. $x = 9$
4. $x = 15$
2. Sarah buys 5 identical notebooks for a total of $20. What is the price of each notebook? This can be represented as $5x = 20$.
1. $x = $25$
2. $x = $15$
3. $x = $4$
4. $x = $100$
3. Solve for $y$ in the equation $7y = 49$.
1. $y = 56$
2. $y = 7$
3. $y = 42$
4. $y = 343$
4. A pizza is cut into 8 equal slices. If one slice represents $\frac{1}{8}$ of the pizza, and the whole pizza costs $16, what is the cost of one slice? Represented as $8x = 16$.
1. $x = $2$
2. $x = $8$
3. $x = $128$
4. $x = $24$
5. Find the value of $z$ in the equation $2z = 18$.
1. $z = 36$
2. $z = 9$
3. $z = 16$
4. $z = 20$
6. John earns $15 per hour. If he earned $75 in one day, how many hours did he work? This can be represented as $15h = 75$.
1. $h = 5$
2. $h = 90$
3. $h = 60$
4. $h = 10$
7. Solve for $a$ in the equation $4a = 32$.
1. $a = 8$
2. $a = 28$
3. $a = 36$
4. $a = 128$