Algebra 10

3 marks · Easy

Solve the following equation for :

(a)

Write down the first step you would use to start solving the equation.

[1 mark]

(b)

Complete the solution to find the value of .

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) Subtract 2 from both sides

(b) y = 12

Common mistakes: Subtracting instead of adding; Multiplying too soon

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Correct first step identified: subtract 2 from both sides.

M2 (b) · 1 mark · Multiplies both sides of resulting equation by 4 or writes .

A1 (b) · 1 mark · Finds final value: . (follow-through)

Worked solution

Step 1: Subtract 2 from both sides:

Step 2: Multiply both sides by 4: