Name _______________________________________ Date ___________________ Class __________________
Practice C
6.3 Polynomials
Find the degree and number of terms of each polynomial.
1. 5t 5  60  3t 3
2. 9p  31p 9  6p 2  42
3. 50  4r  r 3  r 2  4r 5
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Simplify and write each polynomial in standard form. Then, give
the leading coefficient.
4. 4g 3  8g  4g 3  2g 2
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5. 13  5h 3  h 2  h
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6. 2( 3x  4)  4x  8x
2
Classify each polynomial according to its degree and number of terms.
7. 6t 3  54t 4  1
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8. 14 • 3w  w
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9. 4( 4s 2  s )  11  s 7
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2
Problem Solving
6.4 Adding and Subtracting Polynomials
Write the correct answer.
1. There are two boxes in a storage unit.
The volume of the first box is 4x3  4x2
cubic units. The volume of the second
box is 6x3  18x2 cubic units. Write a
polynomial for the total volume of the
two boxes.
2. The recreation field at a middle school is
shaped like a rectangle with a length of
15x yards and a width of 10x  3 yards.
Write a polynomial for the perimeter of
the field. Then calculate the perimeter if
x  2.
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3. Two cabins on opposite banks of a river
are 12x2  7x  5 feet apart. One cabin
is 9x  1 feet from the river. The other
cabin is 3x2  4 feet from the river.
Write the polynomial that represents
the width of the river where it passes
between the two cabins. Then calculate
the width if x  3.
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Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
6.5 Problem Solving - Multiplying Polynomials
Write the correct answer.
1. A bedroom has a length of x  3 feet
and a width of x  1 feet. Write a
polynomial to express the area of the
bedroom. Then calculate the area if
x  10.
2. The length of a classroom is 4 feet
longer than its width. Write a polynomial
to express the area of the classroom.
Then calculate the area if the width is
22 feet.
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3. Nicholas is determining if he can afford
to buy a car. He multiplies the number
of months m by i  p  30f where i
represents the monthly cost of
insurance, p represents the monthly car
payment, and f represents the number
of times he fills the gas tank each month.
Write the polynomial that Nicholas can
use to determine how much it will cost
him to own a car both for one month and
for one year.
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4. A seat cushion is shaped like a
trapezoid. The shorter base of the
cushion is 3 inches greater than the
height. The longer base is 2 inches
shorter than twice the height. Write the
polynomial that can be used to find the
area of the cushion. (The area of a
trapezoid is represented by
1
h(b1 b2 ) . )
2
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1
Bh where B is the
3
area of the base and h is the height of the pyramid. The Great Pyramid
of Giza has a square base, and each side is about 300 feet longer than
the height of the pyramid. Select the best answer.
The volume of a pyramid can be found by using
5. Which polynomial represents the
approximate area of the base of the
Great Pyramid?
A h  90,000
B 2h  90,000
C h2  600h  90,000
D 2h  600h  90,000
2
7. The original height of the Great Pyramid
was 485 feet. Due to erosion, it is now
about 450 feet. Find the approximate
volume of the Great Pyramid today.
A 562,500 ft3
C 84,375,000 ft3
B 616,225 ft3
D 99,623,042 ft3
6. Which polynomial represents the
approximate volume of the Great
Pyramid?
F
1 3
h  200h2  30,000h
3
G
1 2
h  200h  30,000
3
H
h3  600h2  90,000h
J
3h3  600h2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1