Howell Fitzgerald

05/09/2023 · Junior High School

Choose the correct statement of the multiplication property of equality below. A. The same real number may be added to both sides of an equation without changing the equation's solution set, so \( \mathrm{a}=\mathrm{b} \) and \( \mathrm{a}+\mathrm{c}=\mathrm{b}+\mathrm{c} \) are equivalent equations. B. The same nonzero real number may be added to both sides of an equation without changing the equation's solution set, so \( \mathrm{a}=\mathrm{b} \) and \( \mathrm{a}+\mathrm{c}=\mathrm{b}+\mathrm{c} \) are equivalent equations as long as \( \mathrm{c} \neq 0 \). C. The same nonzero real number may multiply both sides of an equation without changing the equation's solution set, so \( \mathrm{a}=\mathrm{b} \) and \( \mathrm{ac}=\mathrm{bc} \) are equivalent equations as long \( \mathrm{as} \mathrm{c} \neq 0 \). D. The same real number may multiply both sides of an equation without changing the equation's solution set, so \( \mathrm{a}=\mathrm{b} \) and \( \mathrm{ac}=\mathrm{bc} \) are equivalent equations. Choose the correct example of the multiplication property of equality below.