zMath 180  - Unit 18: First Semester Final
Label all measurement problems with the appropriate units, for example: cm, sq cm, cu cm, degrees

1) A five-year old is having her birthday party at the local bowling alley. Explain two different counts that her parents will estimate for the party. One count should be an over-estimate and the other can be an under-estimate.

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2) Identify the number as integer, rational, and/or irrational. There may be more than one answer.

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3) Identify the number as integer, rational, and/or irrational. There may be more than one answer.

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4) Find the measure of an interior angle of a regular pentagon.

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5) If the base area of a cylinder is 11.8 square centimeters and the height is 20 centimeters, (a) state the volume and (b) explain how to find the volume

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6) Write the following number in scientific notation: 0.00126

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7) Solve for "x" using an inverse operation.

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8) Simplify.

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9) Simplify.

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For the next two problems, refer to the chart below to make the conversions.

10) Use a proportion to solve: 50 centimeters (cm) = ______ inches (in)

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11) Use a proportion to solve and round the answer to the nearest tenth: 150 pounds (lb) = ______ kilograms (kg)

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12) Find the square root to the nearest tenth.

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13) Multiply the numbers using scientific notation and express the answer in scientific notation.

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14) Find the perimeter of a rectangle: length is 4 centimeters and width is 8 centimeters.

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15) Find the volume of a cylinder: radius is 10 centimeters and height is 15 centimeters.

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16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant height is 4.6 centimeters.

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17) Find the sum of the measures of the exterior angles of a regular pentagon.

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18) Find the area of a square with a side that measures 2.2 centimeters.

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19) If the area of the base of a square pyramid is 28 square centimeters and the total surface area is 64 square centimeters, explain how to and find the area of one triangular face.

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20) Find the sum.

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21) Find the difference.

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22) Find the sum.

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23) Find the difference.

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24) Find the product.

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25) Find the quotient.

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26) Find the difference.

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27) Find the quotient.

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28) What is 30% of 75?

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29) Find the square.

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30) Write 75% as a decimal.

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31) Write 104% as a decimal.

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32) Find the square root.

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33) Find the square root.

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34) What is the best term to use to describe this angle?

35) What is the best term to use to describe the intersecting lines?

36) Divide the numbers using scientific notation and express the answer in standard form.

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37) Find the surface area of a square pyramid with a base edge of five centimeters and a slant height of six centimeters.

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Consider the two lines, "r" and "s", cut by transversal "t", and then answer the next seven questions.

38) If a pair of lines is cut by a transversal, what is true about the size of the alternate interior angles? Select the best answer.

39) Name four pairs of vertical angles.

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40) Name four pairs of corresponding angles.

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41) Name two pairs of alternate interior angles.

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42) Name four pairs of supplementary angles.

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43) List all angles congruent to angle 1.

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44) List all angles congruent to angle 2.

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45) The net can be constructed into what solid shape?

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46) What is the volume of a triangular pyramid that has a base area of 8.2 square centimeters and a height of 4 centimeters? Label the answer correctly and round to the nearest tenth of a cubic centimeter

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47) Solve the equation for ā€œnā€ using inverse operations.

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48) Solve the equation for ā€œzā€ using inverse operations.

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49) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

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50) Which inequality is represented by the graph? State the letter of the correct answer.

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