Algebra 1, Unit 2: Solving Linear Equations. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a linear equation?
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An equation whose variable is raised only to the first power- Solve: x + 5 = 12
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x = 7- Solve: x - 4 = 10
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x = 14- Solve: 3x = 21
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x = 7- Solve: x/4 = 5
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x = 20- Solve: 2x + 3 = 11
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x = 4- What must you do to both sides of an equation to keep it balanced?
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Perform the same operation on both sides- Solve: 5x - 2 = 3x + 8
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x = 5- What is the goal when solving a multi-step linear equation?
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Isolate the variable on one side of the equation- Solve: 2(x + 3) = 16
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x = 5- What is a one-step equation?
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An equation requiring only one operation to solve- What is a two-step equation?
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An equation requiring two operations to solve- What does 'isolating the variable' mean?
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Getting the variable alone on one side of the equation- Solve: 4x + 1 = 1
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x = 0- What is an identity equation?
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An equation true for all values of the variable
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