Questions

1) In the isosceles triangle shown below, what is the measure of the third angle?

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2) Triangle RST is similar to triangle UVW. What is the value of “x” to the nearest tenth?

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3) In the given parallelogram, the obtuse angles are twice the size of the acute angles. What is the measurement of one of the acute angles? (Hint: In a parallelogram, any two consecutive angles are supplementary and the opposite angles are congruent.)

a.) 60 degrees

b.) 45 degrees

c.) 90 degrees

d.) 120 degrees

4) A lot for a new house has the shape of a polygon with three right angle corners as shown below. A 125-degree angle is formed at the fourth corner and the value of the angle at the fifth corner is unknown. What is the measure of the angle formed at the fifth corner (x)? Recall that the sum of the angles in a polygon can be calculated using the formula that follows: Sum of the Interior Angles of a Polygon = 180(n – 2) where n = the number of sides.

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5) The first term and common ratio of a geometric sequence is given below. What are the first five terms of the sequence?

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6) Triangle ABC has vertices A(–4, 0), B(–4, 5), and C(2, 0). Translate triangle ABC according to the given translation. Name the image, triangle A'B'C'. What are the coordinates of the vertices of the image?

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7) What type of transformations would be used to create Figure 2 from Figure 1?

a.) Translations

b.) Reflections

c.) Rotations

d.) Dilations

8) The length of the edge of a square is 18.4 feet. What is the perimeter of the square?

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9) What is the circumference of a circle with a diameter of 13.3 inches?

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10) What is the area of the shaded region (gray area) in the trapezoid shown below?

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11) What is the surface area of the cylinder represented by the net below? Express the answer rounded to the nearest hundredth of a square inch.

a.) 333.59 square inches

b.) 215.03 square inches

c.) 321.54 square inches

d.) 365.75 square inches

12) What is the surface area of the square pyramid? Recall that the area of a triangle is found using A = (1/2) bh.

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13) What is the volume of the triangular prism shown below? (V = B h)

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14) What is the volume of a sphere with a diameter of 18 inches? Express the answer rounded to the nearest tenth of a cubic inch.

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15) What is the volume of a square pyramid that has a base edge of 5 inches and a height of 7 inches? State the letter of the correct answer.

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16) Use the Pythagorean Theorem to calculate the length of AB. Express the answer rounded to the nearest tenth.

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17) Use the distance formula to find the length of segment JK. Round the answer to the nearest tenth.

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18) The map below highlights some areas around Piedmont Lake located in eastern Ohio. What is the “actual” distance from the town of Piedmont directly to Belmont Ridge?

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19) Two similar hexagons are shown below. What is the value of “x”?

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20) In right triangle TUV, what is the cosine of angle U rounded to the nearest tenth thousandth and what is the angle measure of angle U measured to the nearest whole number?

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21) Simplify the expression. State the letter of the correct answer.

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22) The given expression is what type of polynomial?

a.) monomial

b.) binomial

c.) trinomial

d.) x-nomial

23) Simplify the expression. State the letter of the correct answer.

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24)

Apply the distributive property and “combining like terms” to simplify the expression.

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25) Find the difference. State the letter of the correct answer.

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26) Complete the table shown below for the function f(x) = 5x – 1, and then answer the following questions: (a) What is the domain of the function? (b) What is the range of the function?

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27) A graph of a relation is shown below. The relation is or is not a function? Justify the answer.

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28) Find f(–6) if f(x) = 4x – 12.

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29) What is the slope of the line containing the points (–7, 3) and (2, 5)?

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30) Two different lines are graphed in the coordinate plane and each have a slope of zero. What is true about the two lines?

a.) The lines are perpendicular.

b.) The lines are horizontal and parallel.

c.) The lines are vertical and parallel.

d.) The lines rise left to right and are parallel.

31) Express the given equation in slope-intercept form and then state the slope “m” and the y-intercept.

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32) Solve the equation for “k”. State the letter of the correct answer.

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33) State the ordered pair that is a solution to the system of equations graphed below.

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34) Graph the system of equations shown below, and then state the solution as an ordered pair.

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35) Solve the system of equations shown below using elimination, and then state the solution as an ordered pair.

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36) Solve the inequality for “a”.

a.) a > –9

b.) a < –9

c.) a < –144

d.) a > –144

37) Solve the absolute value equation for “x”. State BOTH solutions

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38) Graph the given quadratic function on graph paper, and then determine which graph matches the function. State the letter of the correct answer.

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

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40) What is the value of "r"?

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