Question
Algebraic expressions practice e unit 6 lesson 11
Answers
GPT-4o mini
It looks like you're looking for practice related to algebraic expressions, specifically from a unit and lesson within a curriculum, potentially from an educational platform like Eureka Math or EngageNY. While I don't have access to specific lesson content, I can help you with general algebraic expression practice problems and concepts that might be covered in such a lesson. Here are some practice problems and explanations that could be relevant to this topic:
### Algebraic Expressions Practice Problems:
1. **Simplify the expression:**
\[
3x + 5x - 2 + 4
\]
2. **Combine like terms:**
\[
7a - 3b + 2a + 10 - 5b
\]
3. **Evaluate the expression when \( x = 3 \):**
\[
2x^2 - 4x + 7
\]
4. **Expand the expression:**
\[
(x + 3)(x - 2)
\]
5. **Factor the following expression:**
\[
x^2 + 5x + 6
\]
6. **Write an algebraic expression for the following scenario:**
"Three times a number decreased by four."
7. **If \( y = 2x + 1 \), find y when \( x = 4 \).**
### Answers and Explanations:
1. **Simplify:**
\[
3x + 5x - 2 + 4 = 8x + 2
\]
2. **Combine like terms:**
\[
7a + 2a - 3b - 5b + 10 = 9a - 8b + 10
\]
3. **Evaluate:**
\[
2(3)^2 - 4(3) + 7 = 2(9) - 12 + 7 = 18 - 12 + 7 = 13
\]
4. **Expand:**
\[
(x + 3)(x - 2) = x^2 - 2x + 3x - 6 = x^2 + x - 6
\]
5. **Factor:**
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
6. **Algebraic expression:**
If we let the unknown number be \( n \), then the expression is:
\[
3n - 4
\]
7. **Find y:**
\[
y = 2(4) + 1 = 8 + 1 = 9
\]
### Tips for Working with Algebraic Expressions:
- **Combine like terms** by grouping similar variables together.
- **Use distributive property** to expand and factor expressions.
- **Evaluate** expressions by substituting given values for variables and calculating.
- **Practice writing expressions** for word problems to reinforce the relationship between algebra and real-life situations.
Feel free to ask for more practice problems or explanations on specific topics within algebraic expressions!
### Algebraic Expressions Practice Problems:
1. **Simplify the expression:**
\[
3x + 5x - 2 + 4
\]
2. **Combine like terms:**
\[
7a - 3b + 2a + 10 - 5b
\]
3. **Evaluate the expression when \( x = 3 \):**
\[
2x^2 - 4x + 7
\]
4. **Expand the expression:**
\[
(x + 3)(x - 2)
\]
5. **Factor the following expression:**
\[
x^2 + 5x + 6
\]
6. **Write an algebraic expression for the following scenario:**
"Three times a number decreased by four."
7. **If \( y = 2x + 1 \), find y when \( x = 4 \).**
### Answers and Explanations:
1. **Simplify:**
\[
3x + 5x - 2 + 4 = 8x + 2
\]
2. **Combine like terms:**
\[
7a + 2a - 3b - 5b + 10 = 9a - 8b + 10
\]
3. **Evaluate:**
\[
2(3)^2 - 4(3) + 7 = 2(9) - 12 + 7 = 18 - 12 + 7 = 13
\]
4. **Expand:**
\[
(x + 3)(x - 2) = x^2 - 2x + 3x - 6 = x^2 + x - 6
\]
5. **Factor:**
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
6. **Algebraic expression:**
If we let the unknown number be \( n \), then the expression is:
\[
3n - 4
\]
7. **Find y:**
\[
y = 2(4) + 1 = 8 + 1 = 9
\]
### Tips for Working with Algebraic Expressions:
- **Combine like terms** by grouping similar variables together.
- **Use distributive property** to expand and factor expressions.
- **Evaluate** expressions by substituting given values for variables and calculating.
- **Practice writing expressions** for word problems to reinforce the relationship between algebra and real-life situations.
Feel free to ask for more practice problems or explanations on specific topics within algebraic expressions!