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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Math 6 Reasoning public release module at MSDE. 6th Grade Math
"Math 6 Reasoning"

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This is a multiple choice question that allows you to select only one option.

A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each.

What is the greatest number of hammers the contractor can buy with the money he has remaining?

This is a question with 2 parts, including a test question that allows you to enter extended text in your response.

Part A

Write the opposite of negative four and one half and explain how it is related to negative four and one half.

Use the number line as a reference in your explanation.

-5 -4 -3 -2 -1 0 1 2 3 4 5 Image An image is shown, but there is no alternative text.

Enter your answer and your explanation in the space provided.

Part B

Use the number line to think about the location of the number 2 and a number n, where n is greater than 3. Write an inequality comparing the opposite of 2 and the opposite of n.

Explain how the number line shows that your inequality is correct.

Enter your inequality and your explanation in the space provided.

This is a test question that allows you to enter extended text in your response.

  • Expression 1: five open parenthesis 2 x plus 3 y close parenthesis
  • Expression 2: 3 x plus 6 y plus x plus 3 open parenthesis 2 x plus 3 y close parenthesis

Are the expressions shown equivalent?

Show or explain all of the steps you used to determine your answer. Use properties of operations to justify each step.

Enter your answer and your work or explanation in the space provided.