Digits, Grade 7, Volume 1, Homework Helper

2-1: TEKS Practice

  • 1. Solve the equation + 18 = 27.

  • 2. Solve the equation − 19 = 13.

  • 3. Solve the equation 3= 15. Check your answer.

  • 4. Solve the equation x over 9 , equals 6. Check your answer.

  • 5. Select the three equations that have the same solution.

    • A. + 3 = 4

    • B. y over 1.75 , equals 4

    • C. 5= 35

    • D. 22 + = 29

  • 6. Which equation has the same solution as 6.5= 45.5?

    • A. 4.97 + = 11.97

    • B. 3 fourths , n equals 5 , and 1 fourth

    • C. Both A and B

    • D. Neither A nor B

  • 7.

    • a. Writing Solve the equation 5 + = 9.

    • b. Describe the properties you used to solve the equation.

    • c. Write two more equations that you can solve using these same properties and solve them.

  • 8.

    • a. Reasoning Solve the equation 8= − 16 and check your answer.

    • b. Is it possible to solve the equation using multiplication? Explain your reasoning.

  • 9. Error Analysis A teacher asked her students to solve the equation − 11 = 25. One student incorrectly said that the solution is 14.

    • a. What is the correct solution?

    • b. What mistake might the student have made?

      • A. The student applied the Addition Property of Equality instead of the Subtraction Property of Equality.

      • B. The student applied the Subtraction Property of Equality instead of the Addition Property of Equality.

      • C. The student applied the Multiplication Property of Equality instead of the Division Property of Equality.

      • D. The student applied the Division Property of Equality instead of the Multiplication Property of Equality.

  • 10. Think About the Process

    • a. Which property of equality should you use to solve the equation for x?

      − 3= 21

      • A. The Division Property of Equality

      • B. The Subtraction Property of Equality

      • C. The Addition Property of Equality

      • D. The Multiplication Property of Equality

    • b. The solution is .

  • 11. School Supplies Matt bought notebooks at the store for $1.07 each. He spent $3.21 on the notebooks. Let x represent the number of notebooks Matt bought. Use the equation 1.07= 3.21 to find the number of notebooks he bought.

  • 12.

    • a. Estimation Estimate the solution to the equation z minus 5 , and 4 fifths , equals 6 , and 1 ninth by rounding each mixed number to the nearest whole number.

    • b. Find the exact solution.

  • 13. Solve and check the equation x plus 2 , and 2 fifths , equals 6.


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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