zMATH 170  - Unit 17: Order of Operations, Applying Integers, Composite Shapes

Order of Operations


1)

Evaluate. 50 – (3 + 2 × 7)


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2)

Evaluate.  21 + 42 – 2 × 7


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3)

Evaluate.


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4)

Evaluate.


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Using Integers

Use integers to write math sentences for problems #5 through #10, and then solve them. Label the answer.


5)

Mount McKinley, located in Alaska, is the highest point in North America with a height of 20,320 feet above sea level. Death Valley has the lowest point in North America at 282 feet below sea level. What is the difference between the highest point and lowest point in North America?


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6)

Four months in a row, Terry borrowed $80 from Thomas. How much money is Terry in debt to Thomas?


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7)

Three days in a row during the winter months the temperatures recorded below zero temperatures at –10°F, –5°F, and –6°F. What was the average temperature for those three days?  Label answer with the word "degrees".


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8)

A cold spell in the weather was short lived.  On Tuesday, the temperature was –8°.  On Wednesday, the temperature was 43°.  What was the increase in temperature between the two days?  Label answer with the word "degrees".


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9)

Ellen makes several transactions in her check book each month. She makes a “deposit” to place money into her account and she makes a “withdrawal” to remove money from her checking account. Write a sentence using integers to record Ellen’s monthly activity in her checking account and then determine her balance.


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10)

Write the value for each lettered point on the number line. Choose from these given numbers: 75%, –1, 1/4, 1.5, and 200%. State the letter and the corresponding value.


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Composite Figures


11)

The perimeter of a rectangle can be found by the formula P = 2(l + w). Find the perimeter when the length is 13 feet and the width is 11 feet.


12)

Find the distance around the shape. Recall that the circumference of a circle can be determined using the formula, C = π d.


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13)

A square and a quadrilateral (four-sides) have the same perimeter. The quadrilateral has sides with lengths of 18 cm, 23 cm, 12 cm, and 15 cm. Find the length of a side of the square.


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14)

Heath wants to put a brick border around his garden. Each brick is 4 inches wide by 10 inches long. The garden is 5 feet by 6 feet. He does not want to cut any bricks and the bricks must lie within the border of the garden. Draw a picture on paper to show how he would arrange the brick border. State how many bricks are needed, describe the drawing, and explain how you determined the number of bricks.


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15)

If a bicycle tire has a radius of 18 inches, how many times will the tire rotate if the bicycle travels for half a mile? (See Unit 10 for a chart of conversions between miles, feet, and inches.)


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Review

The school store received a shipment of notebooks and pens. There are 10 cartons of notebooks and 25 boxes of pens. Each carton of notebooks costs $72 and contains 48 notebooks. Each box of pens costs $12.60 and contains 36 pens. The school wants to make a 10% profit. Use this information to solve problems #16 and #17.


16)

What is the cost of one notebook? What amount must be added on to the notebook's cost to account for a 10% markup? What will be the retail price (price the school is charging) for the notebook?


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17)

What is the cost of one pen? What amount must be added on to the cost of the pen to account for a 10% markup? What will be the retail price (price the school is charging) for the pen?


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18)

Linnah can make 8 ornaments in 30 minutes. How many ornaments can she make in 45 minutes?


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19)

Determine the scale factor for a map where 1/6 inch represents 2 feet. 


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20)

Write a mixed fraction and a decimal for 280%.


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21)

Find the answer that is not an equivalence for 6%.


22)

Two-thirds of the students in Mrs. Poll’s class attends Sunday school classes regularly. What percent represents the students in her class that attend Sunday school regularly?


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23)

Fill in the diamond with less than, greater than, or equal.


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24)

Find the difference. 12 – (–8)


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25)

Find the product. –9 × –7


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