Simple Equations — Practice

Question 1

Solve: 5x - 3 = 22.

Accepted Answer

Add 3 to both sides: 5x = 25. Divide by 5: x = 5.

Question 2

Solve: (2y/3) + 1 = 7.

Accepted Answer

Subtract 1: 2y/3 = 6. Multiply by 3: 2y = 18. Divide by 2: y = 9.

Question 3

Solve: 4(2x - 1) = 28.

Accepted Answer

Divide by 4: 2x - 1 = 7. Add 1: 2x = 8. Divide by 2: x = 4.

Question 4

Rohan's father is 3 times as old as Rohan. The sum of their ages is 48. Find Rohan's age.

Accepted Answer

Let Rohan = x. Father = 3x. x + 3x = 48 -> 4x = 48 -> x = 12. Rohan is 12 years old.

Question 5

The length of a rectangle is 4 cm more than its width. The perimeter is 48 cm. Find the length and width.

Accepted Answer

Let width = w. Length = w + 4. 2(w + w + 4) = 48 -> 4w + 8 = 48 -> 4w = 40 -> w = 10 cm, length = 14 cm.

Practice — Simple Equations