Math · High School

Algebra 1, Unit 2: Solving Linear Equations

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?

An equation whose variable is raised only to the first power

Solve: x + 5 = 12

x = 7

Solve: x - 4 = 10

x = 14

Solve: 3x = 21

x = 7

Solve: x/4 = 5

x = 20

Solve: 2x + 3 = 11

x = 4

What must you do to both sides of an equation to keep it balanced?

Perform the same operation on both sides

Solve: 5x - 2 = 3x + 8

x = 5

What is the goal when solving a multi-step linear equation?

Isolate the variable on one side of the equation

Solve: 2(x + 3) = 16

x = 5

What is a one-step equation?

An equation requiring only one operation to solve

What is a two-step equation?

An equation requiring two operations to solve

What does 'isolating the variable' mean?

Getting the variable alone on one side of the equation

Solve: 4x + 1 = 1

x = 0

What is an identity equation?

An equation true for all values of the variable

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