Substitution and calculator brackets
3 exam-style questions. Answers and the mark for each step are on the last page.
- Question 1
and .
(a) Work out the value of .
(b) Work out the value of .
(c) Work out the value of .
- Question 2
and .
(a) Work out .
(b) Work out .
- Question 3
(a) Work out the value of when , and .
(b) When and , the value of is . Find the value of .
Answers and marks
Question 1
(a)
- B1 The correct answer, .
(b)
- M1 Writing and (or ).
- A1 The correct answer, .
(c)
- B1 The correct answer, .
Question 2
(a)
- M1 Square the whole negative input.
- M1 Subtract twice the product, keeping both signs.
- A1 Correct answer:
(b)
- M1 Add the signed inputs before squaring.
- A1 Correct answer:
Question 3
(a)
- M1 Finding and .
- A1 The correct answer, .
(b)
- P1 Substituting to get .
- P1 Rearranging to .
- A1 The correct answer, .