7/29/2019 Week 22 - HW.docx

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Name: Class:

Week 22: Homework

To be completed by Friday, 22nd February.

Task 1

Log on to Acuity and complete the two lessons (and solve the problems) assigned to you.

Task 2

The largest known pyramid is Khufus pyramid. At a certain time of day, a stick that is 3 meters casts a shadow

1.5 meters long, and the pyramid casts a shadow 68.5 meters long. How tall is the Khufus pyramid?

An eight foot high flagpole casts a 3 feet shadow. A nearby tree casts a 10 feet shadow. How tall is the tree?

The Eiffel tower casts a shadow that is 1.5 meters long. At the same time, a tree that is 3 m. high casts a

shadow that is 0.015 m. How tall is the Eiffel tower?

The Statue of Liberty is 92 meters tall. At a certain time of day, a stick that is 90 centimeters tall casts a

shadow that is 2200 centimeters long. How many meters long will The Statue of Libertys shadow be?

7/29/2019 Week 22 - HW.docx

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Name: Class:

Task 3

1. Which number shows the absolute value of -30?

2. Which property makes this true: 3 + 4x= 4x+ 3?

3. Simplify3a 5b + 7a 2a 3b.

4. Simplify3(x+ 2) 4x2x.

5. Simplify: -2(7 15)2

+ |-5 + 7| 4

5. Translate each phrase into an algebraic expression.

Five points less than two times yesterdays score.

Three times the difference of a number and six.

The quotient of a number and three increased by nineteen is seven.

Seventeen less than the product of a number and three is six.

6. Solve each equation.

-18p + 2p + 6 = 9 + 5 8n + 6 = 19 + 7n

-2m + 6m = 11 4 4m 5(3x+ 1) = 2(13x 3)

7/29/2019 Week 22 - HW.docx

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Task 4

A tennis court is 23.77 meters long and 8.23 meters wide. Find the area of the tennis court. Round your answer

to the nearest hundredth.

In 2000, the average annual salary for a person living in Boulder, Colorado was about 1.009 times the average

annual salary for a person living in Seattle, Washington. If the average annual salary in Seattle was $45,171,

what was the average annual salary in Boulder? Round your answer to the nearest dollar.

In 1996, Michael Johnson broke the world record for the mens 200 -meter run. His record-breaking time was

19.32 seconds. What was Michael Johnsons running speed? Round your answer to the nearest hundredth.

The local store has a sale on camera film. If a package containing 5 rolls of film costs $8.99, what is the cost of

one roll of film? Round your answer to the nearest cent.

Find the value ofxthat makes the mean the given number.

A 7, 8, 2, 5,x; mean = 5 B 11. 6, 1, 7, 4, 1, 0,x; mean = 3