Question 1: Rearrange the formula to make x the subject: y = 3x + 5.

Answer: x = (y - 5) / 3

Question 2: Solve for x: 4x - 7 = 13.

Answer: x = 5

Question 3: Rearrange the formula: A = πr^2 to make r the subject.

Answer: r = √(A/π)

Question 4: A tablet costs $120 plus a $15 service fee. Write an expression for the total cost C in terms of the number of tablets x, assuming each tablet costs $20.

Answer: C = 15 + 20x

Question 5: Rearrange the formula: F = ma to make m the subject.

Answer: m = F / a

Question 6: A recipe calls for x cups of sugar. The total sugar used is 300 grams and 3 cups equal 50 grams. Write an expression to find x.

Answer: x = (300 / 50) * 1 = 6

Question 7: Solve for x: 2x + 4 = 3x - 5.

Answer: x = 9

Question 8: Rearrange the formula: V = l × w × h to make w the subject.

Answer: w = V / (l × h)

Question 9: A car travels at a speed of x km/h, covering a distance of 150 km in 3 hours. Write an expression to find x.

Answer: x = 150 / 3 = 50

Question 10: Calculate x: 5(x - 2) = 20.

Answer: x = 6

Question 11: A rectangle's area is given by A = x × y. Rearrange to make x the subject when y is known.

Answer: x = A / y

Question 12: Identify and correct the mistake: x = y + 2 in the formula y = 3x + 5.

Answer: Incorrect. Correct rearranged formula: x = (y - 5) / 3