BitWithBite
Mathematics Worksheet
🔗 Systems of Equations
SCORE___ / 20
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After this worksheet you can
Solve systems by substitution and elimination.Interpret one, none, or infinite solutions.Check a solution in both equations.Recognise parallel and identical lines.📚 Quick Recap
A system of equations is a set of two or more equations sharing the same variables — solving it means finding the values that satisfy every equation at once.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Solve x + y = 15, x − y = 5:
2Solve y = 4x, y = 2x + 10:
3Solve 3x + y = 11, x − y = 1:
4Parallel lines with different intercepts give:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The solution of a system satisfies equations.
6Solving x + y = 15, x − y = 5 gives x = .
7Solve: x + y = 15, x − y = 5.
8Solve: y = 4x, y = 2x + 10.
9Solve: 3x + y = 11, x − y = 1.
🚀 Section C · Challenge ● CHALLENGE 5
10Solve: x + 2y = 8, x − y = 2.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-B | 5 both 6 10 7 = x = 10, y = 5 8 = x = 5, y = 20 9 = x = 3, y = 2 | 10 = x = 4, y = 2