4
QuizMultiple Choice

Solving Linear Equations: Distributive Property — Quiz

Question 4 • Transition Mathematics for Seniors

How many solutions exist for the given equation? 0 point 7 5 times open paren x plus 40 close paren is equal to 0 point 3 5 times open paren x plus 20 close paren plus 0 point 3 5 times open paren x plus 20 close paren

Answer
A
one
B
zero
C
infinitely many
D
two

Explanation

Combine the two identical terms on the right: 0.35(x + 20) + 0.35(x + 20) = 0.70(x + 20). Expanding gives 0.75x + 30 = 0.70x + 14, so 0.05x = −16 and x = −320. Since there is exactly one value of x that satisfies the equation, the answer is one solution.

AI-written and checked against the verified answer.

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