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Flip to reveal answersWhat does 'solve an equation' mean?
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All 9 Flashcards — Solving equations
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Question
What does 'solve an equation' mean?
Answer
Find the value(s) of x that make both sides equal.
Question
A reliable universal first step?
Answer
Rearrange so one side is 0, then find the roots.
Question
Why not divide both sides by x?
Answer
You can lose the solution x = 0; factor instead.
Question
Solutions of f(x) = 0 on a graph?
Answer
The x-intercepts (zeros) of y = f(x).
Question
Solutions of f(x) = g(x) on a graph?
Answer
The x-coordinates of the intersection points of the two graphs.
Question
How do you solve a mixed equation like 2ˣ = x + 3?
Answer
Graph both sides and use the GDC intersect tool (no neat algebra).
Question
Which method suits Paper 1 vs Paper 2?
Answer
Paper 1: analytic (algebra). Paper 2: graphical / GDC.
Question
How do you check a solution?
Answer
Substitute it back — both sides should be equal.
Question
On the GDC, which tool finds f(x) = 0?
Answer
The 'zero' tool (or read the x-intercepts).
Read the notes
Full study notes for Solving equations
Topic 2.10 hub
Solving equations
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Math AA SL exam skills
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