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1. Solve. One point for showing the steps to solve each equation and one point for the correct solution.
3m - 5 = 7m - 21 (Points : 2)

2. Solve. One point for showing the steps to solve each equation and one point for the correct solution.
4(x - 6) = -2(x - 3) (Points : 2)

3. Solve. One point for showing the steps to solve each equation and one point for the correct solution.
2(n - 3) + 5 = 3(n - 1) (Points : 2)

5. In the class elections, Connie received 53 more votes than Carl. In all, 221 votes were cast for the two candidates. How many votes did each receive. One point for the equation, one point for the solution. (Points : 2)



Answer :

ZackFry
1. 3m -5 = 7m -21
3m + 16 = 7m + 21
3m + 16 = 7m
-3m + 16 = 4m 
16 = 4m
8 = 2m
4 = m

2. 4(x - 6) = -2(x - 3)
8x - 24 = -2x + 6
10x - 24 = 2x +6
10x - 24 = 6
10x + 24 = 30
10x = 30
x = 3

3. 2(n - 3) + 5 = 3(n - 1) 
2n - 6 + 5 = 3n -3
2n - 1 = 3n - 3
-2n - 1 = n - 3
-1 = n - 3
2 = n + 3
2 + n

4. All sides of a square are the same.  Therefore: 
5n = n + 16
5n + -n = n + 16 + -n
4n = n + -n + 16
4n = 16
2n = 8
n = 4
5 X 4 = 20.  One side of the square is 20 inches. 

5. 221 - 53 = 168.  168 / 2 = 84.  Carl recieved 84 votes.  84 + 53 = 137.  Connie recieved 137 votes. 

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