Find the Sum or Difference: 1. LaTeX: \left(3-7m\right)\:+\:2\left(5m\:+\ :1\right)( 3 − 7 m ) + 2 ( 5 m + 1 )

2. LaTeX: \frac{1}{2}\left(8\:-6y\right)\:+\: \frac{1}{5}\left(10y\:-\:25\right)1 2 ( 8 − 6 y ) + 1 5 ( 10 y − 25 )

3. LaTeX: \left(4a\:-\:5\right)\:-\:4\left(2. 5a\:+\:3\right)( 4 a − 5 ) − 4 ( 2.5 a + 3 )

4. LaTeX: \left(5b\:-\:9\right)\:-\:3\left(8\ :-\:2b\right)( 5 b − 9 ) − 3 ( 8 − 2 b )

5. You earn LaTeX: (6x + 15)( 6 x + 15 ) points after completing LaTeX: xx levels of a video game and lose LaTeX: \left(3x\:-\:7\right)( 3 x − 7 ) points. Write an expression that represents the total number of points you have now.

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Question 33 pts
Write an Expression in Simplest Form for each of the following:

1. A Polygon with side lengths: LaTeX: 2x,\:\:3x\:-\:1,\:\:x\:+\:5,\:\:3x, \:\:2x\:+\:42 x , 3 x − 1 , x + 5 , 3 x , 2 x + 4 . Find the Perimeter.

2. A Rectangle with a length of LaTeX: 2x + 52 x + 5 and a width of LaTeX: x + 2x + 2 . Find the Perimeter.

3. The expression LaTeX: 11n + 811 n + 8 represents the Perimeter of a Triangle. One side is LaTeX: 3n + 13 n + 1 and a second side is

LaTeX: 7n + 47 n + 4 . Write an expression in simplest form that represents the third side.

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Question 410 pts
Solve the Equation:

1. LaTeX: n\:-\:6\:=\:21n − 6 = 21

2. LaTeX: m\:-\:\frac{5}{8}\:=\:-\frac{1}{4}m − 5 8 = − 1 4

3. LaTeX: \frac{x}{6}\:=\:-2.1x 6 = − 2.1

4. LaTeX: -18x\:=\:72− 18 x = 72

5. LaTeX: -3x\:+\:5\:=2\:− 3 x + 5 = 2

6. LaTeX: -\frac{9}{4}x\:+\:\frac{4}{5}\:=\:\ frac{7}{8}− 9 4 x + 4 5 = 7 8

7. LaTeX: -14\:-\:\frac{2}{9}w\:=\:-12− 14 − 2 9 w = − 12

8. LaTeX: 18\:=\:-8\:+\:10x18 = − 8 + 10 x

9. LaTeX: 3\left(x\:+\:1\right)\:=\:-243 ( x + 1 ) = − 24

10. LaTeX: -\left(15p\:-\:1\right)\:+\:2\left( 5\:+\:5p\right)\:+13\:=\:30− ( 15 p − 1 ) + 2 ( 5 + 5 p ) + 13 = 30

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Question 54 pts
Write an Equation and Solve. Put your answer, not the equation. in the blank.

1. The sum of a number n and negative 12 is 6.

2. 45 equals the quotient of a number n and 3.

3. 30 less than a number n is 10.

4. 5 less than twice a number n is negative 25.

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Question 63 pts
Write an Equation and Solve. Put your answer in the blank.

1. You drink LaTeX: xx 8-ounce glasses of water plus a 20-ounce bottle of water. You drank 76 ounces of water today. How many 8-ounce glasses of water did you drink?

2. Your friend has owned a dog for one year less than twice as long as he has owned a cat. Let's call the number of years that he has owned a cat c. Your friend has owned a dog for 9 years. How long has your friend owned a cat?

3. You start out with a balance of -350 dollars in your bank account. You deposit 225 dollars per week. How many weeks will it take to get your balance to $1000?