Question

Algebraic expressions online practice

Answer 1

Sure! Below are some algebraic expressions practice problems along with explanations for solving them. You can try solving them and then check your answers.

### Practice Problems

1. **Simplify the expression:**
\( 3x + 4x - 5 \)

2. **Evaluate the expression when \( x = 2 \):**
\( 2x^2 + 3x - 4 \)

3. **Factor the expression:**
\( x^2 + 5x + 6 \)

4. **Expand the expression:**
\( (x + 2)(x + 3) \)

5. **Combine like terms:**
\( 7y - 3y + 2y - 5 \)

6. **Solve for \( x \):**
\( 2(x - 3) = 6 \)

7. **Evaluate the expression when \( x = -1 \):**
\( 4x^3 - 2x + 7 \)

8. **Factor the expression:**
\( 3x^2 - 12x \)

### Solutions

1. **Simplify the expression:**
\( 3x + 4x - 5 = 7x - 5 \)

2. **Evaluate the expression when \( x = 2 \):**
\( 2(2^2) + 3(2) - 4 = 2(4) + 6 - 4 = 8 + 6 - 4 = 10 \)

3. **Factor the expression:**
\( x^2 + 5x + 6 = (x + 2)(x + 3) \)

4. **Expand the expression:**
\( (x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6 \)

5. **Combine like terms:**
\( 7y - 3y + 2y - 5 = 6y - 5 \)

6. **Solve for \( x \):**
\( 2(x - 3) = 6 \)
\( x - 3 = 3 \)
\( x = 6 \)

7. **Evaluate the expression when \( x = -1 \):**
\( 4(-1)^3 - 2(-1) + 7 = 4(-1) + 2 + 7 = -4 + 2 + 7 = 5 \)

8. **Factor the expression:**
\( 3x^2 - 12x = 3x(x - 4) \)

Feel free to try these problems and let me know if you need any help or more practice!