7
QuizMultiple Choice

Model and Reason with Equations and Inequalities: Part One — Test

Question 7 • Algebra II

What is the solution to the equation 3 times open paren x minus 1 close paren minus 2 times open paren 2 x plus 1 close paren is equal to 8 times open paren x minus 1 close paren ?

Answer
A
x is equal to 2 thirds
B
x is equal to negative 4 sevenths
C
x is equal to 3 sevenths
D
x is equal to 1 third

Explanation

Distribute the numbers: 3(x − 1) − 2(2x + 1) = −x − 5, and 8(x − 1) = 8x − 8. Then solve −x − 5 = 8x − 8: adding 8 and x to both sides gives 3 = 9x, so x = 1/3. The correct choice is D, x is equal to 1 third.

AI-written and checked against the verified answer.

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