1. List the First 15 Perfect Squares
Name ______Date ______
Pre-Algebra11 – 1 (Pasquale)
1. List the first 15 Perfect Squares:
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=
=
=
=
=
=
=
=
=
=
=
=
=
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Find the square root of the following, round to the nearest 100th when necessary. State whether or not the number is rational or irrational.
2. 9.
3. 10.
4. 11.
5. 12.
6. 13.
7. 14.
8. 15.
Name ______Date ______
Pre-Algebra11 – 2 (Pasquale)
Simplify the following square roots.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. The area of a square room is 361 ft2, determine the length of one side of the room.
16. The area of bathroom is 100 ft2, knowing that the bathroom is square. Find the
amount of baseboard needed to go “around” the room.
Name ______Date ______
Pre-Algebra11 – 3 (Pasquale)
Simplify the following square roots.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. The orbital period of a planet is the time that it takes the planet to travel around the sun. You can find the orbital period P (in earth years) using the formula P = where d is the average distance (in astronomical units, abbreviated AU) of the planet from the sun.
A. Simplify the formula.
B. Jupiter’s average distance from the sun is 5.2. What is Jupiter’s orbital period ?
Name ______Date ______
Pre-Algebra11 – 4 (Pasquale)
SHOW WORK
Find the two solutions of the equation, if applicable place in simplest form.
1. x2 = 492. 121 = y2
3. m2 - 7 = 744. 82 = n2 + 1
5. d2 – 100 = 6256. y2 + 5 = 41
7. 27 = n2 + 38. 32 + 42 = c2
9. 92 = f2 - 810. c2 = 52 + 122
11. The formula for the slant height s (in inches) of a cone is s = where h is
the height of the cone (in inches) and r is the radius of its base (in inches).
Find the height of the cone if you know the slant height is 4 inches and
the radius is 2 inches.
Name ______Date ______
Pre-Algebra11 – 5 (Pasquale)
Find the unknown length of each right triangle. (Use the Pythagorean Theorem)
Round to the nearest tenth.
1.2. 5 ft
40 in
c
9 inc 12 ft
5 ft
3. 4.
5 ft c
c 7 m
24 m
5.18 m6. 15 in
39 in
a
30m b
Determine if the following triangles right triangles. Show all your work.
7. 15 in, 25 in, 20 in8.8mm, 10mm, 12mm
9. 9 in, 14 in, 12 in10. 5ft, 4ft, 3ft
11. A ladder 6 meters long leans against a wall. Its foot rests on the
ground 1 meter from the wall. How high up the wall is the ladder ?
12. The dimensions of Julio’s rectangular computer desk are 19 inches by
24 inches, find the length of the diagonal of his desk.
13. Kyle, a painter positioned a 20 foot ladder against a house so that the
base of the ladder was 4 feet from the house. Assuming the house
and the ground form a ninety degree angle, about how far up the side
of the house is Kyle able to reach ?
Name ______Date ______
Pre-Algebra11 – 6 (Pasquale)
1. 2.
3. 4.
5. 6.
7. ()8. ()
9. ()10. ()
11. ()12. ( +)
Name ______Date ______
Pre-Algebra11 – 7 (Pasquale)
Express in simplest form.
1. + 2. +
3. + - 4. +
4. + - 5. + -
6. + 7. + -
8. + - 9. + +
Find the unknown length of each right triangle. (Use the Pythagorean Theorem)
10. 11. 9 in
k
x 15 ft 15 in
6 ft
Name ______Date ______
Pre-Algebra11 – 8 (Pasquale)
Express in simplest form.
1. + 2. +
3. + - 4. +
4. + - 5. + -
6. ( - )7. ( + )
8. + - 9. + +
Find the unknown length of each right triangle. (Use the Pythagorean Theorem)
10. 11. 24 in
k
x 25 ft 51 in
24 ft