Unit 3
4 marks · EasyExpress 60 as a product of its prime factors. Then solve the equation 2x + 35 = 125.
(a)[2 marks]
Express 60 as a product of its prime factors in index form.
(b)[2 marks]
Solve the equation 2x + 35 = 125.
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.
Show answer
(a) 2^2 × 3 × 5
(b) x = 45
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Attempts correct prime factorisation.
A1 (a) · 1 mark · Correct index form: 2^2 × 3 × 5.
M1 (b) · 1 mark · Rearranges equation correctly.
A1 (b) · 1 mark · x = 45. (follow-through)
Worked solution
a) 60 = 2 × 2 × 3 × 5 = 2^2 × 3 × 5.
b) 2x + 35 = 125 → 2x = 90 → x = 45.