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Back to Tutor Intake Assessment: Explain equation solving steps

HSA.REI.A.1 Tutor Intake — Properties of Equality and Justified Equation Solving

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·7 problems·~12 min·Common Core Math - HS Algebra·standard·hsa-rei-a-1
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A

Concepts

1.

A student rewrites the equation 5x−3=125x - 3 = 12 as 5x=155x = 15.

Which property of equality justifies this step?

2.

A student is solving 3x+7=223x + 7 = 22. The student writes the next line
as 3x=153x = 15 and cites a reason.

Which reason is correct?

3.

A student correctly solves the equation 4x+9=4x+24x + 9 = 4x + 2 step by step,
reaching the conclusion 9=29 = 2.

What does this result tell us?

B

Procedures

1.

The two-column solution below is partially complete. Fill in the missing
reason.

StatementReason
6x−4=146x - 4 = 14Given
6x=186x = 18  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
x=3x = 3Division Property of Equality

What is the missing reason for the second step?

reason:
2.

Solve the equation x4=7\frac{x}{4} = 7 for xx.

Enter the value of xx.

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