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The image presents a question about a baba ghanoush recipe, where the recipe requires twice as much olive oil as lemon juice. Let's break down the tasks:

1. **First question:**
   - It asks which expressions represent the amount of olive oil needed if the recipe calls for 4 tablespoons of lemon juice. Since it uses twice as much olive oil as lemon juice, the correct expression would be:
     \[
     2 \times 4 = 8 \text{ tablespoons of olive oil}.
     \]
   - This would correspond to the expression "4 × 2" (as shown in the image). The expression "4 + 4" also gives 8 tablespoons, which represents the same idea of doubling, so both "4 × 2" and "4 + 4" are correct.

2. **Second question:**
   - Write an expression using the variable \( j \) for the number of tablespoons of lemon juice. The amount of olive oil needed would be twice the amount of lemon juice, so the expression is:
     \[
     2 \times j \text{ (or just } 2j\text{)}.
     \]

Let me know if you'd like further explanations or have questions about this!

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Here are some related questions:
1. How do we generalize an expression for the olive oil amount if the lemon juice changes?
2. What does \( 4 + 4 \) represent in this context, and why is it correct?
3. How would we express the amount of olive oil if there were 5 tablespoons of lemon juice?
4. How does understanding algebraic expressions help in practical situations like recipes?
5. What would happen if the recipe called for half the amount of olive oil instead?

**Tip:** In algebraic expressions, multiplication (like \( 2j \)) is used when we have repeated addition, such as doubling or tripling a quantity.

A recipe for baba ghanoush calls for twice as much olive oil as lemon juice. Which expressions represent the amount of olive oil needed for 4 tablespoons of lemon juice? Write an expression to show the amount of olive oil in the recipe. Let j equal the number of tablespoons of lemon juice.

Learn how to calculate the amount of olive oil needed in a baba ghanoush recipe when given the number of tablespoons of lemon juice. This problem covers key algebraic concepts, including multiplication and variable representation, suitable for students in Grades 4-6.

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