Jack is 14, which is twice as old as his sister. What is the equation that represents this situation and what is his sister's age, x?
Maria and Jordan were both trying to solve the equation 6x = 42.
Maria multiplied both sides of the equation by the reciprocal of 6.
Jordan divided both sides of the equation by 6.
Who solved the equation correctly? Explain why.
Question 3
3.
What is the solution to the equation 28 − b = 48.2?
Question 4
4.
Use the information to answer the following question.
Ms. Dolinski spent $80 on a prize for her four classes of students. She spent x dollars on candy as well as a $12 on pencils for each class. The equation represents the total amount, in dollars, that Ms. Dolinski spent on her class.
4(x + 12) = 80
How much money did she spend on candy for each class, excluding the pencils?
Question 5
5.
Eddie bought a 20lb pack of hamburger for a cook out he is having. He plans to use 2/3 of a pound of hamburger to make his patties. The equation 2/3x=20 can be used to determine x, the number of hamburger patties he can make. What is the total number of people he can have over for the cookout if each person gets one hamburger?
Question 6
6.
Use the equations below to answer the following question.
Which of the equations below have x = 24 as a solution? Select ALL that apply. There are 3 answers. Explain the method you used to derive your answers OR show your work.
Question 7
7.
Denise is simplifying the equation1/4(x + 16) = -12. Here is her work:
1/4(x + 16) = -12
1/4x + 16 = -12
1/4x = -4
Denise’s work is incorrect. Explain where Denise went wrong in solving the equation, and then correctly solve the equation in the show your work section