Question

Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one

set of parentheses. 4(3x+5y+2z)+ 3(x-z)• Tom wrote 12x+20y+8z • Jenna wrote 5 (3x+4y+z)• Chris wrote 15x+20y-5zWhich, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?

Answer 1

Jenna and Chris are both correct! :))

Explanation:

Answer 2

so first we solve
4(3x+5y+2z)+2(x-z)
fist we distribute
4 times 3x=12x
4 times 5y=20y
4 times 2z=8z
12x+20y+8z

then the second part

3(x-z)
3 times x=3x
3 times -z=-3z

3x-3z

combine

12x+20y+8z+3x-3z
group like terms
15x+20y+5z

so
tom:12x+20y+8z
this is only the first part so he is wrong

Jenna:5(3x+4y+z)
this is correct beccause if we multiply it we get
15x+20y+5z which is correct

chris: 15x+20y+5z is correct

Jenna and Chris are correct