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QuizMultiple Choice

Equations — Test

Question 1 • Grade 7 Mathematics

Which shows how to solve the equation negative 4 fifths x is equal to 80 for x in one step?

Answer
A
negative 4 fifths negative 5 x is equal to 80 times negative 5
B
negative 4 fifths open paren negative 5 fourths close paren x is equal to 80 times open paren negative 5 fourths close paren
C
negative 4 fifths 5 x is equal to 80 times 5
D
negative 4 fifths 5 fourths x is equal to 80 times 5 fourths

Explanation

To isolate x in −4/5 x = 80, multiply both sides by the reciprocal of −4/5, which is −5/4. This makes the coefficient of x equal to 1, so the one-step setup is −4/5(−5/4)x = 80(−5/4). That is choice B.

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