Solve the equation below. Show all work following the methods discussed in class; if an equation in

  

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Assignment;
1) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.
2  2 x  4  2 x  4  2 x  7 
2) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.
6  5  4 y 1  4 1 5 y   3
3) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.
6n   2  3n  4n  2 5n 1
4) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.
3 x8  1 x 4 x
2 3 6 3
5) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.
3 x 3 x  3 1 x
4
2
8 2
6) The number of kilograms of water in a person’s body varies directly as the person’s
mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of
water are in a person with a mass of 54 kg?
Please include the following in your work:
a) A statement defining any unknown quantities in the problem in terms of
variables.
b) An equation involving the variable(s) corresponding to the information given
in the problem.
c) A complete solution to the equation, showing all work.
d) A complete answer to the question asked, including appropriate units.
7) In kick boxing, the energy needed to break a board of standard width and thickness
varies inversely with the length of the board. If 3.7 Joules of energy are required to break
a 30-inch board, how many Joules of energy are required to break a 24-inch board?
Please include the following in your work:
a) A statement defining any unknown quantities in the problem in terms of
variables.
b) An equation involving the variable(s) corresponding to the information given
in the problem.
c) A complete solution to the equation, showing all work.
d) A complete answer to the question asked, including appropriate units.
8) A plumber cut a 48-foot piece of pipe into two pieces. The length of the longer piece
was twelve feet more than twice the length of the shorter piece. What was the length of
each piece of pipe?
Please include the following in your work:
a) A statement defining any unknown quantities in the problem in terms of
variables.
b) An equation involving the variable(s) corresponding to the information given
in the problem.
c) A complete solution to the equation, showing all work.
d) A complete answer to the question asked, including appropriate units.
9) Barbara left Amanda’s house and drove toward the ocean. One hour later, Amanda
left, driving 8 mph faster than Barbara in an effort to catch up with her. After four hours,
Amanda caught up with Barbara. What was each woman’s average rate?
Please include the following in your work:
a) A statement defining any unknown quantities in the problem in terms of
variables.
b) An equation involving the variable(s) corresponding to the information given
in the problem.
c) A complete solution to the equation, showing all work.
d) A complete answer to the question asked, including appropriate units.
10) Becky would like to have at least $200,000 saved for her daughter’s college
education. If she invests $85,000 in an education account paying 5.25% interest
compounded monthly, will she reach her goal in 18 years? Show all work to justify your
answer and include appropriate units. The final amount in the account should be rounded
to the nearest cent.
Please include the following in your work:
a) A statement defining any unknown quantities in the problem in terms of
variables.
b) An equation involving the variable(s) corresponding to the information given
in the problem.
c) A complete solution to the equation, showing all work.
d) A complete answer to the question asked, including appropriate units.
…
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