Linear Equations: The Archive
Edexcel 4MA1 Specification 2.4 • 15 Questions • Foundation → Grade 9
Total Marks
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Q1Foundation AnchorGrade 4-5
Solve x + 5 = 12
1 mark
Q2Foundation AnchorGrade 4-5
Solve 3x = 18
1 mark
Q3Foundation AnchorGrade 4-5
Solve 2x - 7 = 5
2 marks
Q4Foundation AnchorGrade 4-5
Solve x/4 = 3
1 mark
Q5Foundation AnchorGrade 4-5
Solve 3(x + 2) = 15
2 marks
Q6Higher StandardGrade 5-6
Solve 5x - 3 = 3x + 7
2 marks
EXAMINER TRAP!
Collect x terms on one side first. Don't try to solve both sides separately!
Q7Higher StandardGrade 5-6
Solve 4(2x - 1) = 20
2 marks
Q8Higher StandardGrade 5-6
Solve 2(x + 3) = 3(x - 1)
3 marks
EXAMINER TRAP!
Expand BOTH brackets before collecting terms!
Q9Higher StandardGrade 5-6
Solve 7 - 2x = 3
2 marks
EXAMINER TRAP!
⚠️ NEGATIVE TRAP: When -2x = -4, dividing by -2 gives x = 2 (NOT -2). Minus ÷ minus = plus!
Q10Higher StandardGrade 5-6
Solve (3x - 1)/4 = 2
2 marks
EXAMINER TRAP!
Multiply BOTH sides by the denominator to clear the fraction!
Q11Grade 9 KillerGrade 7-9
Solve 2/x = 5
2 marks
EXAMINER TRAP!
When x is on the denominator, multiply both sides by x first!
Q12Grade 9 KillerGrade 7-9
Solve (2x + 1)/3 - (x - 2)/4 = 2
4 marks
EXAMINER TRAP!
⚠️ FRACTION TRAP: Common denominator is 12. Watch minus signs when combining!
Q13Grade 9 KillerGrade 7-9
Solve 5/(2x - 1) = 3
3 marks
EXAMINER TRAP!
Multiply by the ENTIRE denominator (2x - 1), not just x!
Q14Grade 9 KillerGrade 7-9
Solve 3(x - 2) - 2(x + 1) = 5(x + 3)
4 marks
EXAMINER TRAP!
⚠️ EXPANSION TRAP: 3(x-2) = 3x - 6, and -2(x+1) = -2x - 2. Watch ALL the signs!
Q15Grade 9 KillerGrade 7-9
A rectangle has perimeter 40 cm. The length is x cm and the width is (x + 4) cm. Find the area of the rectangle.
5 marks
EXAMINER TRAP!
Set up the equation from the perimeter first, THEN find area. Don't rush!
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