Digits, Grade 7, Volume 1, Homework Helper

1-6: TEKS Practice

  • 1.

    • a. Simplify the expression negative 8 . open . negative , 3 fourths , plus 6 . close by applying the Distributive Property.

    • b. Evaluate the expression negative 8 . open . negative , 3 fourths , plus 6 . close . .

  • 2.

    • a. Apply the Distributive Property to simplify the expression − 8(− 2.5 − 7).

    • b. Evaluate the expression − 8(− 2.5 − 7).

  • 3. Simplify the expression 4.5(− 6) + 19.

  • 4. Use the formula f equals , 9 fifths c plus 32 to convert negative 20 degrees cap c to degrees Fahrenheit.

  • 5. Simplify the complex fraction fraction negative , 1 fourth , over negative 12 end fraction . .

  • 6. The water level of a lake fell by 1 , and 1 half in. during a 1 , and 2 thirds -week-long dry spell. Simplify the complex fraction fraction negative 1 , and 1 half , over 1 , and 2 thirds end fraction to find the average rate at which the water level changed every week.

  • 7.

    • a. Writing Simplify the complex fraction fraction 3 fourths , over 2 , and 1 fourth end fraction . .

    • b. Explain why, when dividing fractions with the same denominator, you can find the quotient by dividing the numerators. Use the complex fraction as an example.

  • 8. Reasoning

    • I. negative 4 . open . negative 1 , and 1 half , minus 9 . close

    • II. negative 4 . open . open . negative 1 minus , 1 half . close . minus 9 . close

    • a. Use the Distributive Property to rewrite expression I. Which expression is correct?

      • A. negative 4 . open . negative 1 , and 1 half . close . minus open negative 4 close open 9 close

      • B. negative 4 . open . negative 1 , and 1 half . close . minus 4 open 9 close

      • C. negative 4 . open . negative 1 , and 1 half . close . minus 9

    • b. Evaluate expression I.

    • c. Use the Distributive Property to rewrite expression II. Which expression is correct?

      • A. negative 4 open negative 1 close minus open negative 4 close . open , 1 half , close . minus open negative 4 close open 9 close

      • B. negative 4 open negative 1 close minus open negative 4 close . open , negative , 1 half , close . minus open negative 4 close open negative 9 close

      • C. negative 4 open negative 1 close plus open negative 4 close . open , 1 half , close . minus open negative 4 close open 9 close

    • d. Evaluate expression II.

    • e. Copy expressions I and II. Circle the parts in the two expressions that are different. How do the expressions inside your circles compare? Explain your reasoning.

  • 9. Error Analysis In evaluating the expression 9 fourths , open negative 20 close plus 18 comma Jenny found the value to be 63. She thinks that the number is too great, but is not sure what she did wrong.

    • a. Evaluate the expression.

    • b. What was Jenny's likely error?

      • A. She multiplied 9 fourths by 20 instead of − 20.

      • B. She multiplied − 20 by 4 ninths instead of 9 fourths .

      • C. She subtracted 18 instead of adding.

      • D. She divided 9 fourths by − 20 instead of multiplying.

  • 10. Home Heating Repair Stewart's home is heated by hot water circulating in pipes. Recently, the system developed a small leak. It loses 1 , and 3 fifths milliliters every 10 minutes. Use the complex fraction fraction negative 1 , and 3 fifths . milliliters , over 10 , minutes end fraction to find the change of the amount of water in the system per minute.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties