Question #5ae186b4 - SAT Suite Question Bank

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Test
Math

Domain
Advanced Math

Skill
Nonlinear equations in one variable and systems of equations in two variables

Difficulty
Medium

ID: 5ae186b4

Modded SAT Question Bank by Abdullah Mallik

$\frac{- 54}{w} = 6$

What is the solution to the given equation?

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Correct Answer: -9

Rationale

The correct answer is $negative 9$ . Since $w$ is in the denominator of a fraction in the given equation, $w$ can't be equal to $0$ . Since $w$ isn't equal to $0$ , multiplying both sides of the given equation by $w$ yields an equivalent equation, $- 54 = 6 w$ . Dividing both sides of this equation by $6$ yields $- 9 = w$ . Therefore, $negative 9$ is the solution to the given equation.

Question Difficulty: Medium

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