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Lesson 2: Apply Properties of Equality — Practice Questions

  1. 1. To solve the equation $y - 8 = 15$, you can use the Addition Property of Equality. What is the value of $y$? \n$y = \_\_\_$

  2. 2. Which property of equality should be used as the first step to solve the equation $m + 11 = 20$?

    • A. Addition Property of Equality
    • B. Subtraction Property of Equality
    • C. Multiplication Property of Equality
    • D. Division Property of Equality
  3. 3. Using the Division Property of Equality, solve for $k$ in the equation $6k = 42$. \n$k = \_\_\_$

  4. 4. If you are given the equation $\frac{p}{3} = 9$, which operation must be performed on both sides to find the value of $p$?

    • A. Add 3
    • B. Subtract 3
    • C. Multiply by 3
    • D. Divide by 3
  5. 5. By applying the Subtraction Property of Equality to the equation $a + 7 = 19$, what is the resulting value of $a$? \n$a = \_\_\_$

  6. 6. If $\frac{k}{3} = 12$, which property of equality is used to get the equivalent equation $\frac{k}{3} + 5 = 12 + 5$?

    • A. Addition Property of Equality
    • B. Subtraction Property of Equality
    • C. Multiplication Property of Equality
    • D. Division Property of Equality
  7. 7. To find the value of $z$ in the equation $6z = 48$, you must divide both sides by 6. Complete the second step of the process: $(6z) \div 6 = 48 \div$ ___.

  8. 8. Given the true equation $20 - 5 = 15$, which of the following operations results in another true equation?

    • A. Adding 4 to the left side and 3 to the right side.
    • B. Subtracting 2 from the left side and 2 from the right side.
    • C. Multiplying the left side by 2 and the right side by 3.
    • D. Dividing the left side by 5 and the right side by 3.
  9. 9. A scale is balanced according to the equation $18 + 6 = 5 + 10 + x$. To keep the scale balanced, the value of $x$ must be ___.

  10. 10. Which equation is NOT equivalent to the equation $a + 10 = 25$?

    • A. $a + 10 - 5 = 25 - 5$
    • B. $(a + 10) \times 2 = 25 \times 2$
    • C. $a + 10 + 3 = 25 + 4$
    • D. $(a + 10) \div 5 = 25 \div 5$