Stage 9 - Q1 - 2 marks
Make \(x\) the subject.
Hint
Reverse the last operation first.
Stage 9 - Q2 - 2 marks
Make \(x\) the subject.
Hint
Undo the multiplication around the whole bracket.
Stage 9 - Q3 - 3 marks
Make \(x\) the subject.
Hint
Do the inverse operations in reverse order.
Stage 9 - Q4 - 3 marks
Make \(x\) the subject.
Hint
Keeping a positive coefficient can reduce sign errors.
Stage 9 - Q5 - 4 marks
Make \(t\) the subject; a is nonzero.
Hint
Treat the coefficient as a product.
Stage 9 - Q6 - 4 marks
Make \(t\) the subject; a is nonzero.
Hint
Treat the coefficient as a product.
Stage 9 - Q7 - 5 marks
Make \(k\) the subject; \(x\), \(k\) and \(y-b\) are nonzero.
Hint
The original denominator also requires \(k\) to be nonzero.
Stage 9 - Q8 - 5 marks
A learner rearranges the formula as shown. Explain and correct it.
Hint
Subtract first, or divide every term consistently.
Stage 9 - Q9 - 5 marks
Make \(x\) the subject, then find \(x\) when \(y=30\).
Hint
Check by placing the final \(x\) back in the original formula.
Stage 9 - Q10 - 3 marks
Make \(x\) the subject. Explain separately what happens if \(a+c=0\).
Hint
Factor \(x\) after expanding the bracket.