8
QuizMultiple Choice

Expanding Expressions — Quiz

Question 8 • Grade 7 Mathematics

Which pair shows equivalent expressions?

Answer
A
2 times open paren 2 fifths x plus 4 close paren is equal to 4 fifths x plus 2
B
2 times open paren 2 fifths x plus 4 close paren is equal to 2 and 2 fifths x plus 8
C
2 times open paren 2 fifths x plus 2 close paren is equal to 2 and 2 fifths x plus 1
D
2 times open paren 2 fifths x plus 2 close paren is equal to 4 fifths x plus 4

Explanation

Distribute the 2 to each term inside the parentheses: 2 × (2/5 x + 2) = (2 × 2/5)x + (2 × 2) = 4/5 x + 4. This matches choice D, which gives an equivalent expression.

AI-written and checked against the verified answer.

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