Download Adding and Subtracting Polynomials Exercise and more Lecture notes Algebra in PDF only on Docsity!
Add or Subtract Polynomials 3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Add and write the resulting polynomial in descending order of degree.
1)(- 3 + 3 n
)+( 7 n
A) 15 n
B) 10 n
D) 4 n
2)( 8 x
A) 8 x
C) 12 x
Add.
3)(- 7 mn+ 8 mn
n
)+( 10 m
n+ 2 m
n
A)- 4 mn+ 8 mn
n- 6 m
n
B)- 10 mn+ 18 m
n- 6 m
n
C) 2 m
n
D)- 6 m
n
n+ 8 mn
4)( 7 x
y
y
y+xy
y
y
+x
y+ 2 x- 6 ) 4)
A)^8 x
y
y
+x
y+ 4 x- (^3) B) 8 x
y
y
+x
y+ 3
C) 8 x
y
y
+xy
y
y
+2xy
Write an expression for the perimeter in simplest form.
x- 12
x
A)2x
- 24 x B)4x+ 24 C)4x- 24 D)x
x- 3 x
x+ 6
A)3x+ 3 B)^3 x
x+ 5
x+ 5
A)4x+ 10 B)4x+ 20 C)x
Valencia College
Math Connections
Subtract and write the resulting polynomial in descending order of degree.
8)( 12 p
A) 10 p
9)( 10 n+ 4 n
)-( 11 n
A)- 3 n
C)- 3 n
Subtract.
10)(r
)-( 3 r
+rs- 4 s
A)- 2 r
B)- 2 r
C)- 3 r
D)- 2 r
11)( 7 w
)-( 3 w
A) 4 w
z
z
B) 10 w
C)^4 w
D)^4 w
z
12)( 6 x
y
y
y+xy
y
+x
y
y- 3 x+ 4 ) 12)
A) 7 x
y
y
+xy
y
y
y+xy
C) 7 x
y
y
+x
y+ 6 x- 2 D) 7 x
y
y
+2xy
Solve the problem.
13)A company produces three sizes of a dog house, small, medium, and large. The small dog house
sells for $80, the medium size for $110, and the large for $140. The small dog houses cost $ 50 each
to make, medium $ 70 each, and large $ 79 each. Let s represent the number of small size dog
houses, m represent the number of medium size dog houses and L represent represent the number
of large size dog houses. Write an expression in simplest form for the net profit.
A) 30 s+ 40 m+ 61 L B)- 28 s- 43 m- 76 L
C) 28 s+ 43 m+ 76 L D)- 30 s- 40 m- 61 L
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
14)Find and explain the mistake; then work the problem correctly.
( 2 x
+5x-1)+( 3 x
+3x+ 3
15)Find and explain the mistake(s); then work the problem correctly.
( 2 x
+5x-1)-( 8 x
+3x+ 3
