Digits, Grade 7, Volume 1, Homework Helper

### 2-1: TEKS Practice

• 1. Solve the equation + 18 = 27.

• 2. Solve the equation − 19 = 13.

• 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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