Q1
What is x in 2x + 3 = 11?
A4
B8
C14
D5.5
ICSEClass 7 (ICSE)MathematicsCh 11 · Topic 1
Simple Linear Equations (Including Word Problems)
Simple linear equations state that two expressions are equal, and solving them, including word problems, finds the unknown variable's value.
Core concept
To solve an equation like 2x + 3 = 11, we isolate x by performing inverse operations: subtract 3 from both sides, then divide by 2.
How it works
This gives us 2x = 8, then x = 4, showing the value that makes the equation true.
Why it matters
Word problems require translating the situation into an equation first, like 'a number plus 5 equals 12' becoming x + 5 = 12.
Key detail
Practising equation-solving and word problems builds essential algebra skills for finding unknown values in various situations.
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Keywords worth remembering
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Quick notes
• We isolate the variable using inverse operations.
• 2x+3=11: subtract 3, then divide by 2.
• This gives 2x=8, then x=4.
• Word problems must first become equations.
• 'A number plus 5 equals 12' becomes x+5=12.
• Solving builds algebra skills.
• It helps find unknowns in real situations.
• Practice improves equation-solving confidence.