17
QuizMultiple Choice

Linear Equations — Test

Question 17 • Mathematics 8

The given box shows the first two of four steps for identifying equivalent expressions. • Simplify each expression. • Substitute a number for each variable. • • Which shows the last two steps in the directions?

Answer
A
• Compare each expression, looking for like terms between them. • If each term matches one in the other expression, they are equivalent.
B
• Compute the value of each expression. • Compare the values. If they are equal, the expressions are equivalent.
C
• Decide if there are like terms in each expression. • Compare the like terms to simplify each expression.
D
• Compare the resulting expressions. • If they have identical terms, the expressions are equivalent.

Explanation

After substituting the same number for each variable, compute the value of each expression. Then compare the results: if the values are equal, the expressions are equivalent for that substitution. Choice B gives these final two steps; comparing like terms or requiring identical terms is not the procedure described after substitution.

AI-written and checked against the verified answer.

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