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IM 6.7.8 Practice: Writing and Graphing Inequalities

At the book sale, all books cost less than $5.

What is the most expensive a book could be?

Write an inequality to represent costs of books at the sale.

Draw a number line to represent the inequality.

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let represent the number of hours Kiran worked on his homework. Decide if each statement it is definitely true, definitely not true, or possibly true.

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Explain your reasoning.

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Explain your reasoning.

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Explain your reasoning.

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Explain your reasoning.

Consider a rectangular prism with length 4 and width and height . Find an expression for the volume of the prism in terms of .

Compute the volume of the prism when , when , and when .

Match the statements written in English with the mathematical statements. All of these statements are true.

The number -15 is further away from 0 than the number -12 on the number line.

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  • F
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The number -12 is a distance of 12 units away from 0 on the number line.

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  • F
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The distance between -12 and 0 on the number line is greater than -15.

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The numbers 12 and -12 are the same distance away from 0 on the number line.

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  • F
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The number -15 is less than the number -12.

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  • F
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The number 12 is greater than the number -12.

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  • D
  • E
  • F
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Here are five sums. Use the distributive property to write each sum as a product with two factors.