Questions

1) What are the lengths of the legs of the right triangle?

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2) What is the distance between points A and B? Express the answer rounded to the nearest tenth. (Note: Segment AB is the hypotenuse of the right triangle; thus, the Pythagorean Theorem may be applied to calculate the length of AB.)

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3) For the given figure, (a) what is the length of SP (leg a), (b) what is the length of PL (leg b), and (c) what is the length of SL (hypotenuse c)? Label each answer correctly. (Note: Each space on the grid represents 10 feet.)

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4) A ladder 12 foot in length is placed against the side of a house. The bottom of the ladder is 5 feet from the wall. To the nearest foot, how far up the side of the house does the ladder reach? State the letter of the correct answer.

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5) A wooden flagpole broke and fell to the ground touching the ground 24 feet away forming a right triangle. The break occurred at what height from the ground?

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6) The lengths of two sides of a right triangle are given in the figure below. What is the length of the hypotenuse? Express the answer rounded to the nearest tenth.

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7) Cassie is flying her kite. The string of the kite forms the hypotenuse of a right triangle between the kite’s height and the ground. If the length of the string is 17 feet and Cassie is standing 8 feet away from a point directly under the center of the kite, what is the height of the kite?

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8) A television screen's size is indicated by the length of its diagonal. A 42-inch television set has a screen height of 21 inches. How wide is the screen? State the width to the nearest tenth of an inch.

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9) For the function, y = x-squared + 4, find the y-values for the x-values provided in the table. Write the seven ordered pairs. The first output value and ordered pair is given.

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10) Graph the ordered pairs determined in the previous problem. State the letter of the parabola that matches the equation.

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11) The parabola in the previous problem opens __________ and has a vertex that is a __________ value. (The vertex is the high point OR low point where the graph changes direction from climbing to descending OR vice versa.)

a.) downward, minimum

b.) upward, minimum

c.) downward, maximum

d.) upward, maximum

12) Compare the equations and their graphs. Describe the horizontal and vertical change of the vertex from Graph A to Graph B.

a.) The vertex is moved vertically 6 units down the y-axis.

b.) The vertex is moved vertically 6 units up the y-axis.

c.) The vertex is moved horizontally 6 units right across the x-axis.

d.) The vertex is moved horizontally 6 units left across the x-axis.

13) Graph the given equation, and then state the letter of the parabola that matches the equation

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14) For the given function, find the y-values for the x-values provided in the table. Write the seven ordered pairs. The first output value and ordered pair is given.

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15) Graph the ordered pairs determined in the previous problem. State the letter of the parabola that matches the equation.

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16) Compare the graphs and their functions. Describe the horizontal and vertical change of the vertex from Graph A to Graph B.

a.) The vertex is moved vertically 5 units down the y-axis.

b.) The vertex is moved vertically 5 units up the y-axis.

c.) The vertex is moved horizontally 5 units right across the x-axis.

d.) The vertex is moved horizontally 5 units left across the x-axis.

17) Match the function with the graph. State the letter of the correct answer.

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18) If “x” varies inversely to “y” and x = 7, find “y” if the constant of variation (k) equals 63.

a.) y = 7

b.) y = 8

c.) y = 9

d.) y = 63

19) Find the constant of variation (k) when “x” varies inversely to “y” with x = 4 and y = 6.

a.) k = 4

b.) k = 10

c.) k = 24

d.) k = 6

20) Determine the y-values for the given x-values in the chart. Graph the ordered pairs? State the letter of the graph that matches the equation. (Note: Each mark on the x-axis and the y-axis represents one unit.)

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21) Which equation is another way to represent the equation given in the previous problem? State the letter of the correct answer.

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22) In inverse variation, the product of the x- and y-values is constant. Refer to the table to complete the equation xy = k. What is the value of “k”?

a.) k = 60

b.) k = 90

c.) k = 900

d.) k = 30

23) As the y-values decrease, describe what happens to the x-values?

a.) The x-values decrease as the y-values decrease.

b.) The x-values increase as the y-values decrease.

c.) The x-values do not change as the y-values decrease.

d.) It cannot be determined what happens to the x-values as the y-values decrease.

24) What is the water pressure in Judd’s home?

a.) 15 psi

b.) 30 psi

c.) 5 psi

d.) 60 psi

25) Which equation represents how to calculate the water pressure? State the letter of the correct answer.

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26) Graph the ordered pairs given in the table. Is the data linear or non-linear?

a.) linear

b.) non-linear

27) Which graph matches the data given in the previous problem? State the letter of the correct answer

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28) Is the graph linear or non-linear?

a.) linear

b.) nonlinear

29) Make a table and determine several ordered pairs for the given equation. Graph the points in a coordinate plane. Is the equation linear or non-linear?

a.) linear

b.) non-linear

30) For the function, y = x-cubed + 2, find the y-values for the x-values provided in the table. Write the seven ordered pairs. The first output value and ordered pair is given.

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31) Graph the ordered pairs found in the previous problem and connect with a continuous curved line. Which graph matches the equation given in the previous problem? State the letter of the correct answer.

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32) Kevin is investing $1,000.00 at an interest rate of 6.5% annually. Use the simple interest formula to determine how much interest his money will earn over 30 years. (a) How much interest will Kevin’s money earn in 30 years? (b) What will be the total value of his money in 30 years (Principal + Interest)?

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33) Rachael is investing $1,000.00 at an interest rate of 6.5% that is compounded monthly. Use the compound interest formula to determine the total value of her money after 30 years?

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34)

The graph below represents the growth in savings calculated in the previous two problems. The legend is missing. Which line shows the growth of Rachael’s money based on compound interest?

a.) Line A

b.) Line B

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