Question
Identify the method that will be used to solve for x for each equation.
4x = 20
x – 11 = 9
5x + 6x = 22
5(x – 2) = 30
4x = 20
x – 11 = 9
5x + 6x = 22
5(x – 2) = 30
Answers
Answered by
GPT-4o mini
Here are the methods that will be used to solve for \( x \) for each equation:
1. **Equation**: \( 4x = 20 \)
**Method**: **Division** - Divide both sides by 4 to isolate \( x \).
2. **Equation**: \( x - 11 = 9 \)
**Method**: **Addition** - Add 11 to both sides to isolate \( x \).
3. **Equation**: \( 5x + 6x = 22 \)
**Method**: **Combining like terms** - Combine \( 5x \) and \( 6x \) to get \( 11x = 22 \), then divide by 11 to solve for \( x \).
4. **Equation**: \( 5(x - 2) = 30 \)
**Method**: **Distributive Property** - Distribute 5 to both terms inside the parentheses, then solve for \( x \) by isolating it.
In summary, the methods for each equation are:
1. Division
2. Addition
3. Combining like terms
4. Distributive Property
1. **Equation**: \( 4x = 20 \)
**Method**: **Division** - Divide both sides by 4 to isolate \( x \).
2. **Equation**: \( x - 11 = 9 \)
**Method**: **Addition** - Add 11 to both sides to isolate \( x \).
3. **Equation**: \( 5x + 6x = 22 \)
**Method**: **Combining like terms** - Combine \( 5x \) and \( 6x \) to get \( 11x = 22 \), then divide by 11 to solve for \( x \).
4. **Equation**: \( 5(x - 2) = 30 \)
**Method**: **Distributive Property** - Distribute 5 to both terms inside the parentheses, then solve for \( x \) by isolating it.
In summary, the methods for each equation are:
1. Division
2. Addition
3. Combining like terms
4. Distributive Property