8
QuizMultiple Choice

Properties of Equality

Question 8 • Algebra 2 A

Erma solves an equation by first subtracting 8 from both sides of the equation. She then divides both sides by 8 and finds the solution. Which of the following gives the properties of equality that she used and their correct order?

Answer
A
addition property of equality and multiplication property of equality
B
multiplication property of equality and addition property of equality
C
symmetric property of equality and multiplication property of equality
D
addition property of equality and substitution property of equality

Explanation

Subtracting 8 from both sides uses the addition property of equality, since it adds −8 to each side. Then dividing both sides by 8 is equivalent to multiplying each side by 1/8, which uses the multiplication property of equality. Therefore, the correct order is addition property followed by multiplication property.

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