Stage 9 - Q1 - 2 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q2 - 2 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q3 - 3 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q4 - 3 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q5 - 4 marks
Two quantities \(x\) and \(y\) total 20. \(x\) is 2 more than twice \(y\). Find both quantities by substitution.
Hint
Write one unknown in terms of the other.
Stage 9 - Q6 - 4 marks
Two quantities \(x\) and \(y\) total 27. \(x\) is 3 more than twice \(y\). Find both quantities by substitution.
Hint
Write one unknown in terms of the other.
Stage 9 - Q7 - 5 marks
A learner proposes \(x=3\), \(y=8\). Test both equations, then give the correct pair.
Hint
A simultaneous solution must satisfy both equations.
Stage 9 - Q8 - 5 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q9 - 5 marks
Solve by substitution. Check both equations.
Hint
Choose the variable or repeated expression that is easiest to replace.
Stage 9 - Q10 - 3 marks
Two boxes contain 33 counters altogether. Moving 3 counters from box A to box B makes the number in A twice the number in B. Find the original contents.
Hint
After transfer, one count loses 3 while the other gains 3.