Q:

Two students were given the expression shown to simplify.Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.9-(3-6x)Sergio: 9βˆ’(-3x)Sergio's expression is(correct or incorrect) because(he should multiply before subtracting,he should subtract 9-1 first,he cannot simplify 3-6x, he correctly simplified inside of the parenthesis first,he did not multiply multiply 3 by -1 correctly, or, or he distributed correctly).Leon: 9+3+6x Leon's expression is (incorrect or correct) because,(he should multiply before subtracting,he should subtract 9-1 first, he cannot simplify 3-6x, he correctly simplified inside of the parenthesis first, he did not multiply 3 by -1 correctly, or he distributed correctly).

Accepted Solution

A:
Answer: Sergio's expression is incorrect because he can not simplify Β 3-6x and Leon's expression is incorrect because he did not multiply 3 by -1.Step-by-step explanation: Here, given expression, 9 - (3 - 6x) After simplifying this we get the following steps,Step 1) 9 - (3 - 6x) = 9 - 3 +6x ( by removing parenthesis ) -----(1)Step 2) 9 - (3 - 6x) = 6 + 6xStep 3) 9 - (3 - 6x) = 6(1 + x) Β ( because 6 is common in both term of right side)Since, when Sergio simplified it he wrote 9βˆ’(-3x), which is not matching to the above steps. that, is he is incorrect, because in his explanation he wrote -3x after simplifying 3-6x which can not be solved. Moreover, the expression of Leon is also not matching to any of the above steps,Thus he is also incorrect because after removing parenthesis he did not multiply 3 by -1 .