Algebra
Linear equations and inequalities, absolute value, slope and lines, factoring and solving quadratics, the quadratic formula, vertex form, and systems.
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Any spelling of the right answer counts: 0.5 or 1/2, pi/2 or π/2, sine or cosine for the same graph.
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About Algebra
Algebra is about finding the number that makes a statement true. Linear equations and inequalities are solved by doing the same thing to both sides until x is alone. Quadratics, the ones with x², are solved by factoring, by the quadratic formula, or by writing them in vertex form.
A good habit for every question here: write one step per line, and check your answer by putting it back into the original equation. If both sides match, you are done.
Keep in mind
- Whatever you do to one side of an equation, do to the other side.
- Flip the inequality sign when you multiply or divide both sides by a negative number.
- |x| = 5 has two answers: x = 5 and x = −5.
- Slope m = (y₂ − y₁)/(x₂ − x₁).
- If (x − a)(x − b) = 0, then x = a or x = b.
- Quadratic formula: x = (−b ± √(b² − 4ac))/(2a).
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