Equations
An equation states that two expressions are equal, and solving equations involves finding the value of an unknown variable.
Core concept
An equation has an equal sign (=), showing that the expressions on both sides have the same value, like x+5=10.
How it works
To solve an equation, we perform the same operation on both sides to isolate the variable, like subtracting 5 from both sides.
Why it matters
Checking a solution involves substituting the found value back into the original equation to verify both sides are equal.
Key detail
Solving equations is a fundamental algebra skill used to solve real-life problems involving unknown quantities.
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Quick notes
• Equation: two expressions equal, has '='.
• Example: x+5=10.
• Solve by doing same operation both sides.
• This isolates the variable.
• Check solution by substituting back.
• Verify both sides are equal.
• Equations are fundamental to algebra.
• They solve real-life unknown-quantity problems.