Score: \( 2 / 5 \) Penalty: none Question Write an equivalent expression by distributing the " - " sign outside the parentheses: \[ -9 w-(-1.6 x+10) \] Answer Attempt 1 out of 2
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To rewrite the expression \( -9w - (-1.6x + 10) \), start by distributing the negative sign to everything inside the parentheses. This means changing the signs of each term: the \( -1.6x \) becomes \( +1.6x \), and \( 10 \) becomes \( -10 \). So, the entire expression transforms into: \[ -9w + 1.6x - 10 \] Now you have the equivalent expression \( -9w + 1.6x - 10 \). For those diving deeper into the world of algebra, it's crucial to remember that distributing a negative sign acts like multiplying by negative one. This tool effectively flips the signs of the inner terms, which aligns with the principles behind the distributive property. Next time you face an expression with parentheses and a negative sign, look for opportunities to simplify. Common mistakes include forgetting to change the signs or accidentally applying actions incorrectly across all terms. Keep practicing, and you'll navigate these expressions with ease!