simplifying polynomial expressions; word problems

[rolundabaker]

please help solve these problems

1. Simplify: 4[a – b(2 + 3a)] – 3a[2+b(4 – a)]
2. Simplify: (7x2 – 2y + z) + (3y – z) + (4x2 – 6y)
3. Simplify: (8x2 – xy + 4y2) – (12x2 – y2 + 7xy)
4. Simplify: (12x2y2 – 15xy2)/(3xy)
5. Simplify: 5x[(3x2 + x – 4) + (9x2 – 6x)/(3x)]
6. Simplify: 8 – {3x + 9y – (2x – y) + 8x + 5y}
7. If P = 2y – 6xy – 3x and Q = 4 – 5y, find 2P – 3Q and simplify your answer.
8. Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify. You are not required to solve the problem. (Be sure to say what quantity each variable represents.)
9. A woman buys three board games for $107.10, including tax. Each board game costs $34. Express the given information as an algebraic equation and solve to find the sales tax rate. (Be sure to say what quantity the variable represents.)
10. Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. Express the given information as an algebraic equation then solve to find the length of each side. (Be sure to say what quantity each variable represents

 

[Denis]

Re: algebra dummy

We don't do homework here.
Did you not read "Read before posting"?

 

[Deleted member 4993]

please help solve these problems

1. Simplify: 4[a – b(2 + 3a)] – 3a[2+b(4 – a)]
2. Simplify: (7x2 – 2y + z) + (3y – z) + (4x2 – 6y)
3. Simplify: (8x2 – xy + 4y2) – (12x2 – y2 + 7xy)
4. Simplify: (12x2y2 – 15xy2)/(3xy)
5. Simplify: 5x[(3x2 + x – 4) + (9x2 – 6x)/(3x)]
6. Simplify: 8 – {3x + 9y – (2x – y) + 8x + 5y}
7. If P = 2y – 6xy – 3x and Q = 4 – 5y, find 2P – 3Q and simplify your answer.
8. Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify. You are not required to solve the problem. (Be sure to say what quantity each variable represents.)
9. A woman buys three board games for $107.10, including tax. Each board game costs $34. Express the given information as an algebraic equation and solve to find the sales tax rate. (Be sure to say what quantity the variable represents.)
10. Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. Express the given information as an algebraic equation then solve to find the length of each side. (Be sure to say what quantity each variable represents

Please share with us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[stapel]

Since you are unable to get started on any of these, it would appear that you first need to learn the background material necessary. Since we cannot here provide the missing hours of classroom instruction, I'll provide some links, instead.

1. Simplify: 4[a – b(2 + 3a)] – 3a[2+b(4 – a)]
2. Simplify: (7x2 – 2y + z) + (3y – z) + (4x2 – 6y)
3. Simplify: (8x2 – xy + 4y2) – (12x2 – y2 + 7xy)
4. Simplify: (12x2y2 – 15xy2)/(3xy)
5. Simplify: 5x[(3x2 + x – 4) + (9x2 – 6x)/(3x)]
6. Simplify: 8 – {3x + 9y – (2x – y) + 8x + 5y}
7. If P = 2y – 6xy – 3x and Q = 4 – 5y, find 2P – 3Q and simplify your answer.

To learn how to work with polynomials, study at least two links from each of the following:

. . . . .Google results for "simplifying with parentheses"

. . . . .Google results for "adding polynomials"

. . . . .Google results for "multiplying polynomials"

. . . . .Google results for "dividing polynomials"

8. Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify. You are not required to solve the problem. (Be sure to say what quantity each variable represents.)

To learn how to "translate" word problems, try here. For instructions specific to setting up this sort of word problem, try here.

9. A woman buys three board games for $107.10, including tax. Each board game costs $34. Express the given information as an algebraic equation and solve to find the sales tax rate. (Be sure to say what quantity the variable represents.)

To learn how to set up and solve "percentage" exercises, try here.

10. Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. Express the given information as an algebraic equation then solve to find the length of each side. (Be sure to say what quantity each variable represents

Note that the "perimeter" is the sum of all of the sides' lengths. Set up and then solve the linear equation.

If you get stuck, please reply showing your work and reasoning so far. Thank you!