Three students were given the expression 2−7(3x−4) 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.
Student 1: Their answer is an equivalent expression.
Student 2: Their answer is not an equivalent expression.
Student 3: Their answer is an equivalent expression.
An equivalent expression that can be chosen is -21x + 29.
To determine if each student's answer is an equivalent expression, let's simplify the given expression step by step.
Given expression: 2 - 7(3x - 4)
1. Distribute the -7 to the terms in the parentheses:
2 - 7 * 3x + 7 * 4
Simplifying further:
2 - 21x + 28
Now, let's evaluate each student's answer and check if it is equivalent to this simplified expression.
Student 1: 2 - 6x - 7
To simplify this expression, combine like terms:
-5 - 6x
The expression -5 - 6x is not equivalent to 2 - 21x + 28.
Student 2: 2 - 21x + 28
This expression is the same as the simplified given expression: 2 - 21x + 28.
The expression 2 - 21x + 28 is equivalent to 2 - 21x + 28.
Student 3: 28 - 7 * 3x
To simplify this expression, perform the multiplication:
28 - 21x
The expression 28 - 21x is equivalent to 2 - 21x + 28.
Therefore, the expressions that are equivalent to the simplified given expression 2 - 21x + 28 are:
-5 - 6x
28 - 21x
No answers shown. Cannot copy and paste here.
2−7(3x−4) = 2 - 21x + 28 = -21x + 30 = -3(7x - 10)
Hope that helps.