Solve a one-variable linear equation with justified steps. Keep both sides equal and check the solution in the original relationship.
Help.ai Learn · Topic
Algebra
Use symbols to describe relationships and find unknown quantities. Follow the reasoning behind linear equations, simultaneous equations, and quadratic solutions.
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Explore algebra
Recognize a quadratic equation and connect its roots to factors or a graph. Work through a factorable example and check every proposed solution.
Solve two linear equations together using their shared variables. Connect elimination or substitution to the intersection of the corresponding relationships.
What you’ll learn
- Explain a transformation that preserves an equation’s solutions.
- Find values that satisfy two equations together.
- Recognize why a quadratic equation can have more than one solution.
Symbols describe relationships
A variable can represent an unknown value or a changing quantity. An expression names a quantity; an equation states that two expressions are equal. Decide which you are working with before trying to solve anything.
Keep each transformation justified
Adding the same amount to both sides or dividing both sides by a nonzero number preserves equality. A memorized instruction to “move it across” can hide that reason and lead to sign mistakes.
Different questions need different methods
A linear equation, a system, and a quadratic have different structures. Inspect the structure, choose a method, and substitute the proposed answer into the original equations to check it.
Keep exploring
Linear equationsSolve a one-variable linear equation with justified steps. Keep both sides equal and check the solution in the original relationship.Systems of equationsSolve two linear equations together using their shared variables. Connect elimination or substitution to the intersection of the corresponding relationships.Quadratic equationsRecognize a quadratic equation and connect its roots to factors or a graph. Work through a factorable example and check every proposed solution.Function notationRead f(x) as the output of a function at an input. Evaluate a rule carefully, check its domain, and connect notation to a table or graph.
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