Posted by **Anonymous** on Wednesday, September 11, 2013 at 9:29pm.

1). Solve each equation.

17 = w - 4

2/3s = -6

1/3y + 1/4 = 5/12

x/8 - 1/2 = 6

5/6x - 1/3 = 5/2

2). In 1668, the Hope diamond was reduced from its original weight by about 45 carats, resulting in a diamond weighing about 67 carats. Write and solve an equation to find how many carats the original diamond weighed.

3). Write an equation to represent each relationship. The solve the equation.

Five times a number is 45.

My answers to these questions are the following:

1). 17 = w - 4, w = 19

2/3s = -6, s = 9

1/3y + 1/4 = 5/12, y = ?

x/8 - 1/2 = 6, x = ?

5/6x - 1/3 = 5/2, x = ?

2). w - 45 = 67, w = 112

The original weight of the diamond is about 112 carats.

3). 5 times (x) x = 45

- Algebra 1 (Ms. Sue) -
**Ms. Sue**, Wednesday, September 11, 2013 at 9:47pm
2 and 3 are right.

1).

17 = w - 4, w = 19 **Wrong. Add 4 to both sides of the equation.**

2/3s = -6, s = 9 **Wrong. Watch your sign.**

1/3y + 1/4 = 5/12, y =

**1/3y = 5/12 - 3/12
**

1/3y = 2/12

y = (2/12)/(1/3)

y = (2/12) * (3/1)

y = 6/12 = 1/2

Try the last two yourself.

x/8 - 1/2 = 6, x = ?

5/6x - 1/3 = 5/2, x = ?

- Algebra 1 (Ms. Sue) -
**Anonymous**, Wednesday, September 11, 2013 at 10:31pm
1). 17 = w - 4, w = 21

2/3s = -6, s = -9

x/8 - 1/2 = 6, x = 52

5/6x - 1/3 = 5/2, x = ?

- Algebra 1 (Ms. Sue) -
**Ms. Sue**, Wednesday, September 11, 2013 at 10:38pm
Yes, they are right.

5/6x - 1/3 = 5/2

5/6x = 5/2 + 1/3

5/6x = 15/6 + 2/6

5/6x = 17/6

x = (17/6) / (5/6)

x = (17/6) * (6/5)

x = 102/30 = 3 2/5

Check my arithmetic

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