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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Tags

CCSS.7.EE.B.4A

Front

What is an error in solving linear equations?

Back

An error in solving linear equations is a mistake made during the process that leads to an incorrect solution.

Tags

CCSS.HSA.REI.A.1

Front

How can you check if your solution to a linear equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the purpose of error analysis in solving equations?

Back

Error analysis helps identify mistakes in the solving process, allowing students to understand and correct their errors.

Tags

CCSS.HSA.REI.A.1

Front

What does it mean if there is 'No Error' in the steps of solving an equation?

Back

'No Error' means that all steps taken to solve the equation were correct and led to the right solution.

Tags

CCSS.HSA.REI.A.1

Front

What is the significance of each step in solving a linear equation?

Back

Each step in solving a linear equation is crucial as it builds upon the previous step to arrive at the final solution.

Tags

CCSS.8.EE.C.7B

Front

What is a common mistake when solving linear equations?

Back

A common mistake is forgetting to apply the same operation to both sides of the equation.

Tags

CCSS.HSA.REI.A.1

Front

What is the role of constants in a linear equation?

Back

Constants are fixed values in a linear equation that help define the specific line represented by the equation.