Worksheet Chapter 5: Algebraic Expressions

1. True or False: The terms 3p²q and -5qp² are like terms.

2. Simplify: 3ab × 4a²b ÷ 6a².

3. Raju has (3x + 50) marbles. He gives (x - 10) marbles to his brother and divides the remaining marbles equally between his 2 friends. Find the number of marbles each friend receives in terms of x.

4. Which of the following is equal to -18a²b ÷ 6ab?

5. A rectangle has a length of (2x + 3) cm and a width of (x - 1) cm. (a) Write down an algebraic expression for the perimeter of the rectangle. (b) If x = 4, calculate the actual perimeter in cm.

6. Identify all terms and write down the coefficient of x in the term containing x for the expression: 4x² - 7x + 3y - 5.

7. True or False: The product of two negative algebraic terms is always positive.

8. Simplify: (5x - 3y + 2) - (2x + 4y - 7). Show all steps.

9. State whether the variable in this situation has a fixed value or a varied value: 'The speed of a train traveling between two stations.'

10. Fill in the blank: Evaluating the expression 4a - b² when a = 3 and b = -2 gives __________.