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Solve the following problems. Show your work.

1. A game designer used 9 ounces of clay to make 24 identical pieces for a game. What is the number of ounces of clay that were used for each piece?

2. The equation x + 5 = 12 can be solved using one step. What is the step? Explain.

3. Yvonne’s age, in years is represented by y. Rebekah’s age is one year less than three times Yvonne’s age. What expression represents Rebekah’s age in years?

4. Students in a science class measured rain by writing down the depth of water in a bucket that collected the rain. The bucket was empty before the rain began to fall at a steady rate. Over a 6-hour period during school. After 3 hours, the water had a depth of 18 millimeters. What is the unit rate in millimeters per hour, did the bucket fill after rain started to fall at a steady rate?

5. Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of fabric to make each skirt. At this rate, what is the total amount of fabric, in yards, she needs to make 6 skirts?

Sagot :

Answer:

1. 9/24 = 0.375 ounces

You have 9 ounces of clay that make up 24 pieces therefore you need to divide the 9 by 24 to work out how much clay is used for one piece

2. X=7

To solve the equation you want x to be on its own. To do this you need to minus the 5 from the left. But what you do to one side you must do to the other so x=7 because 12-5=7

3. 3y-1

To get three times yvonnes age you need to multiple y by 3 making it 3y. You then need to take off one year which quite simply makes the expression 3y-1

4. 18/3= 6mm

You divide the total depth by the number of hours to get 6mm.

5. 3x3=9 yards

6 skirts is three times as many skirts as 2 skirts (6/2=3) and because Laura uses 3 yards for every 2 skirts you multiple 3 by 3 to get the 9 yards

Hope this helps :)

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