1.01 (Justify Steps in Solving Linear Equations)

1.01 (Justify Steps in Solving Linear Equations)

Open Ended

What does it mean to Justify in math?

What does it mean to Justify Solutions to Linear Equations?

Using real number properties(such as the commutative, associative, and distributive properties) and the properties of equality (such as adding, subtracting, multiplying and dividing by a non-zero) to justify why each step in the process of solving a linear equation is legal!

To Justify means to...

• Explain reasoning

• Show Steps

• Because we are justifying steps already taken, we will need to explain

• Note:

• APOE= Additive Property of Equality

• MPOE= Multiplication Property of Equality

Multiple Select

What are examples of Justification in Algebra?

• Explain the steps taken to solve with using real number properties and properties of equality

• Show work AND Explain Steps taken using real number properties and properties of equality

• Show all of your work ONLY

Open Ended

Why is it important to be able to Justify steps in solving equations?

Example

Let's solve and Justify each step.

Let's Practice our new Justification Skills together!

Multiple Choice

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Multiple Choice

Which property justifies the work shown?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplicative Inverse Property

Multiple Choice

Which property was used to get from Step 7 to the solution?

• Distributive Property

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property

Multiple Choice

Which property of real numbers justifies the work shown?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Multiple Choice

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Multiple Choice

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Open Ended

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