Worksheet Chapter 6: Linear Equations

1. State whether the following equation is a linear equation in one variable, two variables, or non-linear: 3x² - 5 = 10.

2. Fill in the blank: If 4x - y = 9 and x = 3, then y = __________.

3. True or False: A linear equation in two variables has only one unique solution.

4. A father is 28 years older than his son. In 2 years, the father will be 3 times as old as his son. Find the present age of the son.

5. Solve the simultaneous equations using substitution: y = 2x - 1 and 3x + y = 9.

6. Solve the linear equation: 3(2x - 1) = 15.

7. Which of the following is the correct solution to 2x + 13 = 5?

8. True or False: The elimination method requires making the coefficients of one variable equal or opposite in sign before adding or subtracting equations.

9. At a school canteen, 3 curry puffs and 2 curry mee cost RM12. Meanwhile, 2 curry puffs and 4 curry mee cost RM16. (a) Form two linear equations to represent this information. (b) Find the cost of one curry puff and one curry mee.

10. Solve the simultaneous linear equations using the elimination method: 3x + 2y = 13 and x - 2y = 3. Show all steps.