Math 2 ​
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Factoring and Polygons Practice Test
Name___________________________Per____
1. Factor the following polynomials completely:​
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2
a) 6𝑥 − 15𝑥​ ​
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b) 𝑥 + 11𝑥 + 30​
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4
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c) 2𝑥 − 200𝑥 ​
2. Which equation could best be used to determine the value of x?
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d) 𝑥 + 8​
5. Use the figure below to answer the question.
6. For this parallelogram, find the values of x, y, and z:
7. For this trapezoid, find the length of EH:
8.
9. Find the coordinates of each point after the given transformation:
a)​ Point (-6, 1) is translated 5 units to the right, and 6 units up: _______
b)​ Point (5, 2) is reflected across the line y-axis: _______
c)​ Point (3, -4) is rotated clockwise 90 degrees about the origin: _______
10. The two polygons are similar. Find the values of x and y:
Answers:
1)​ a) 3𝑥(2𝑥 − 5)
b) (𝑥 + 6)(𝑥 + 5)
2
c) 2𝑥 (𝑥 + 10)(𝑥 − 10)
2
d) (𝑥 + 2)(𝑥 − 2𝑥 + 4)
2)​ A
3)​ 18
4)​ HJ = 48, HK = 61.6
5)​ A
6)​ 𝑥 = 80, 𝑦 = 80, 𝑧 = 100
7)​ EH = 8
8)​ 118
9)​ a) (− 1, 7)
b) (− 5, 2)
c) (− 4, − 3)
10)​𝑥 = 12, 𝑦 = 10