Solving algebraic equations and simplifying expressions

Question 1. [6 marks]

Solve the following equations:

• a) y = 2y – 3 [1 mark]
• b) 2x + 3 = 3x -2 [1 mark]
• c) 0.5 x – 4 = x + 0.5 [1 mark]
• d) 3a + 4 = 2a – 1 [1 mark]

Question 2.

Make x the subject of the equation:

• a) x + 2 = 2 – 4y
• b) 0.5x + 2 = 3 – y

Question 3.

Simplify the following expressions

• a) 3y + 4y – 2x + 3x² [1 mark]
• b) x(3x + 4y) + 3 [1 mark]