Answer:
1. Teresa's expression s not equivalent because she did not multiply -7 and -4 correctly.
2. Bernette's expression is not an equivalent because she should multiply before subtracting.
3. Lucy's expression is equivalent because she distributed correctly.
Step-by-step explanation:
By definition, equivalent expression have the same value but they look different.
You can find equivalent expressions of any expression by simplifying.
In this case you have the following expression:
[tex]2-7(3x-4)[/tex]
Then, you know that:
1. Teresa's answer is:
[tex]2-21x-28[/tex]
This is not an equivalent expression , because she did not multiply -7 and -4 correctly.
Remember that:
[tex](+)(+)=+\\(-)(+)=-\\(-)(-)=+[/tex]
2. Bernette's answer is:
[tex]-5(3x-4)[/tex]
This is not an equivalent expression, because she should multiply before subtracting (She should apply the procedure Teresa applied)
3. Lucy's answer is:
[tex]2-21x+28[/tex]
This is an equivalent expression , because she distributed correctly (She multiplied each term inside the parentheses by -7)
Therefore, you can find an equivalent expression for the given expression by applying the Distributive property. Then:
[tex]2-7(3x-4)=2+(-7)(3x)+(-7)(-4)=2-21x+28[/tex]
