Pap Geometry Math Worksheet - Summer Assignment 2015 Page 3
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2
3
4
5
6J. Factor each of the following polynomials.
1. x
+ 8x + 15
2. a
- 14a + 48
3. x
+ x – 42
2
2
2
4. x
- 7x – 18
5. x
- 16x + 64
6. x
- 81
2
2
2
K. Solve by factoring:
1. (k+ 5) (k – 5) = 0
2. y
– 10y + 21 = 0
2
3. x
– 81 = 0
4. x
+ 7x + 6 = 0
2
2
5. x
+ 3x = 8x – 6
6. 16p
– 25 = 0
2
2
L. Use Pythagorean Theorem to find the missing side of the right triangles. If c is the
measure of the hypotenuse of a right triangle, find each missing measure. Round to the
nearest hundredth if necessary.
1. a = 5, b= 12, c = ?
2. a = 6, b = 3, c = ?
3. a = ?, b = 6, c = 14
4. a = 4, b = ?, c = 10
5.
6.
7. In little league baseball, the distance of the paths between each pair of consecutive bases is 60 feet
and the paths form right angles. How far does the ball need to travel if it is thrown from home plate
directly to second base?
M. Simplify the following radicals
1. √
2. √
3. √
4. √
5. √
6. √
7. √
8. √
9. √
10. √
11. √
12. √
N. Simplify the problems using exponent rules:
1. x
x
= _______
2. c c
c = _______
3. x
x
x
= _______
3
6
5
5
6
7
4. (2a
) (5a
) = _________
5. (-2xy
)(-3x
y)= ________
6. (a
)
= ________
4
3
2
2
2
3
7. (x
)
= ________
8. (3x
y)
(-4xy
) = ________
9. (5a)
= ________
4
3
2
2
3
2
10. (-6a)
= ________
11.
= ___________
12.
2
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