Linear equations in one variable

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What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

Tags

CCSS.8.EE.C.7A

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How do you solve a linear equation?

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To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Tags

CCSS.7.EE.B.4A

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What does it mean to isolate a variable?

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Isolating a variable means to manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Tags

CCSS.6.EE.B.7

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What is the solution of the equation 3x - 4 - 5x = x + 4 + x?

Back

The solution is x = -2.

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If 2x + 4 = x - 5, what is the value of x?

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The value of x is -9.

Tags

CCSS.7.EE.B.4A

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What is the solution of the equation 2y + 9 = 4?

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The solution is y = -5/2.

Tags

CCSS.7.EE.B.4A

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How do you solve the equation -12y = 108?

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Divide both sides by -12 to get y = -9.

Tags

CCSS.6.EE.B.7

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What is the solution of the equation ¾ x = 27?

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The solution is x = 36.

Tags

CCSS.6.EE.B.7

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What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with x.

Tags

CCSS.7.EE.B.4A

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What is the definition of a coefficient in a linear equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Tags

CCSS.6.EE.A.2B