Solving equations
Practice Flashcards
What does 'solve an equation' mean?
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All Flashcards in Topic 2.10
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2.10.19 cards
What does 'solve an equation' mean?
Find the value(s) of x that make both sides equal.
A reliable universal first step?
Rearrange so one side is 0, then find the roots.
Why not divide both sides by x?
You can lose the solution x = 0; factor instead.
Solutions of f(x) = 0 on a graph?
The x-intercepts (zeros) of y = f(x).
Solutions of f(x) = g(x) on a graph?
The x-coordinates of the intersection points of the two graphs.
How do you solve a mixed equation like 2ˣ = x + 3?
Graph both sides and use the GDC intersect tool (no neat algebra).
Which method suits Paper 1 vs Paper 2?
Paper 1: analytic (algebra). Paper 2: graphical / GDC.
How do you check a solution?
Substitute it back — both sides should be equal.
On the GDC, which tool finds f(x) = 0?
The 'zero' tool (or read the x-intercepts).
Topic 2.10 study notes
Full notes & explanations for Solving equations
Math AA SL exam skills
Paper structures, command terms & tips
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