zMath 160  - Unit 36:Final Exam
1)

What kind of transformation did the artist use to create the shadow effect: translation, reflection or rotation?


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2)

If the arrow was transformed with a rotation of 90° counter clockwise, what direction would it be pointing?


3)

Here is a design created with pentagons. If you continued to copy the design over a plane, would it be a tessellation? Please explain.


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These two triangles are similar and share a “2 to 1” relationship between the corresponding sides. Use these triangles to solve #4 and #5.


4)

If the length of side XY is 10.5 cm, then state the length of side AB.


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5)

Solve.


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6)

Add and simplify.


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7)

Compute.


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8)

Convert. 12 qt = _____ gal


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9)

Convert. 3 pt = _____ c


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10)

Compute.


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11)

Convert. 3.5 T = ________ lb


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12)

Compute.


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13)

Fill in the blank with the metric unit for the equivalent expression given. Choose from the terms below. State the letter and the answer.

decimeter     kilogram     milliliter     centimeter


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14)

State the measure of the red arrow, first to the nearest centimeter, and then to the nearest millimeter.


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15)

Express 2.5 km as meters.


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16)

Express 7500 mm as meters.


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17)

A quart jar holds about one _________.


18)

Convert. 4.32 kg = __________ g


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19)

Find the amount of fencing needed for a rectangular lot that was 352.3 m and a width of 127.2 m.


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20)

Find the amount of carpeting that would be needed for a square building that measured 42 ft long on one side of the floor.


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21)

Find the area of a triangle that has a base of 20 ft and a height of 14 ft.


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22)

If the dimensions of the triangle in problem #21 were doubled, the area of the triangle would be how many times larger?


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23)

Find the perimeter of a regular hexagon that has one edge measure 7.9 m.


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24)

Find the amount of heavy rope needed to encircle a riding area for ponies if the diameter of the circular lot is 31 yards. Round answer to nearest whole number.


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25)

Find the area of a circle with a radius of 9 inches.


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26)

A piece of material was cut as a circle. The material was then cut into fourths. Find the area of 1/4 the material if the radius of the circle is 15 inches. Round answer to nearest whole number.


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27)

This solid has two circular bases and a curved surface for its body. What is it?


28)

This solid is a rectangular prism where all sides are congruent. What is it?


29)

What is the surface area of a cube that has one edge measuring 10 ft? Label answer correctly


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30)

What is the volume of the cylinder? Label answer correctly.


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31)

Evaluate the expression for x = 2, y = 5, and z = 8

z2 – xy


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32)

7 + 8 = 8 + 7 is an example of which property?


33)

What does the bottom view of this 3-D shape look like? State the letter of the correct illustration.


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34)

 If the function is y = 7x, and the input (x) equals 5, what is the value of output (y)?


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For #35 through #38, identify the letter for the given ordered pair.


35)

State the letter. (6, –3)

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36)

State the letter. (–3, 0)

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37)

State the letter. (5, 4)

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38)

State the letter. (–1, –5)

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39)

Solve for n. 52 = n + 19


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40)

Solve for p.  p – 16.4 = 48


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41)

Solve for m. 9m = 144


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42)

Solve for t


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43)

If a car is traveling at a steady rate of change of 60 MPH, how far will the car travel in 7 hours? Label answer appropriately.


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44)

List all whole numbers that will make this inequality true.

4m < 22


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Use this data to answer questions #45 & #46.

34, 37, 40, 25, 50, 46, 37


45) What is the mean for this set of data? Round answer to nearest tenth.

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46)

What is the median for the data?


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47)

Which type of graph would best show a graphical relationship between the results of a survey about favorite foods with these results: pizza - 43, steak – 20, hoagies – 10, baked chicken - 32.


48)

State the probability (chance) of drawing a pink marble from the bowl. Write answer as a fraction in simplest terms.


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Use this graph to answer questions #49 and #50.


49)

In which week, were both girls’ heartbeats the same during the ten second interval?


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50)

Which girl’s heartbeat rate improved over the four week period?


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