Question 1: Simplify the expression: \( \frac{3x}{4} + \frac{2x}{4} \)

Answer: x

Question 2: Calculate: \( \frac{5}{6} \times \frac{2x}{3} \)

Answer: \( \frac{5 \times 2x}{6 \times 3} = \frac{10x}{18} = \frac{5x}{9} \)

Question 3: Divide: \( \frac{7x}{10} \div \frac{14}{5} \)

Answer: \( \frac{7x}{10} \times \frac{5}{14} = \frac{7x \times 5}{10 \times 14} = \frac{35x}{140} = \frac{x}{4} \)

Question 4: Add: \( \frac{x}{3} + \frac{2x}{3} \)

Answer: x

Question 5: Subtract: \( \frac{4x}{5} - \frac{x}{5} \)

Answer: \( \frac{4x - x}{5} = \frac{3x}{5} \)

Question 6: Construct and simplify: \( \frac{2x}{3} \times \frac{3}{4} \)

Answer: \( \frac{2x \times 3}{3 \times 4} = \frac{6x}{12} = \frac{x}{2} \)

Question 7: Solve for x: \( \frac{x}{4} + \frac{3x}{4} = 1 \)

Answer: x = 1

Question 8: A recipe requires \( \frac{2x}{3} \) cups of sugar. If \( x = 6 \), how many cups of sugar are needed?

Answer: 4 cups

Question 9: Calculate: \( \frac{7x}{8} \div \frac{14}{16} \)

Answer: \( \frac{7x}{8} \times \frac{16}{14} = \frac{7x \times 16}{8 \times 14} = \frac{112x}{112} = x \)

Question 10: Identify and correct the mistake: \( \frac{3x}{4} + \frac{x}{4} = \frac{4x}{4} = x \).

Answer: The addition is correct; no mistake. But if students think there's an error, they should check the step. Correct statement: the sum is \( \frac{4x}{4} = x \).