^•x**
Date:
Name:
. Period:
Kerr
Review Sheet for Chapter 7:5-7:8
Simplify.
I. -8k + 17k
3
Classify each as a trinomial, binomial or monomial.
4. 6xy- + 2x
5. 2abc
6. x 3 -3x2 + 1
Tfi
Find the degree of the polynomial.
8. x 2 - 3x
7. 4x 3 - x + 5
9. -6
10. 7x2y*+Bxy-x
3
Write the polynomial in standard form. ThengiVe the leading coefficient.
11. 4x +31?- ,7x2 + 7T
12. a2-8^i-6/-X
13. 10y3 + y5
*
Add or subtract.
14. (5x - 6>L+ 2z) + (4x + 2y - 4z)
15- (Saj-
16. (5x 2 y 2 + 8xy - 2) - (3x 2 y 2 -4xy - 2)
17. (4a-7)-(5a-3)
v
. A-
18. 3x2 + 6 x y - 7 y 2
7x" - 7xy + 6y
t
Multiply^
19.
21. (5x + 6)(5x-6)
22.
25. -9yz2(2z3 - 5z - 8)
26. (7m - 3n)(5rrT - mn + 3rT)
27. A builder uses parallelogram-shaped stones as decoration around a building's windows. The
stones come in many different sizes. Each stone has a base length of x inches and a height of
(4.T- 5) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone
that has a length of 6 units.
28. A toy rocket is launched from a platform 34 feet above the ground aTa speed of 90 feet per
second. The height of the rocket in feet is given by the polynomial -\6i + 90/+ 34, where / is the
time in seconds. How high will the rocket be afte<4 seconds^)
» / /A a i
^—-^ ^IkCO'J
REVIEW-Multiplying & Combining Polynomials
Name
Part I: Perform the indicated operations and simplify your answers.
r
—
I
,
3. (2x + 5)(x-4)
5. 4(8q-5p j q)
7.
1
/4 (4a + 20b)
6. (4x - 7
9. (x2 + 2x - 3) - (2x2 + 8x)
8. n (2n + 5m)
-t
10. (n2 + 7) - (5n2 - 6n + 9)
11. (2x + 8) + (- 7x + 3)
12. (5x - 7) + (-4x2 + 5x - 1)
/Dx-8
2x^
13.
2
8y(2y + 3y)
14.
14.
16. (2x-3) + (3x + |)
PI
^
- vJ+\
/A- v_^
Find the area and perimeter of the following figures. Show all formulas, steps and work.
17.
6x
18.
^\
3x + 4
5x+ 1
20.
19.
3x-4
4x
6x-2
3x + 4
Iffx-l
Perimeter
Area
'&
2- _21. Ms. Ortiz wants a new deck. She wants the length to be 3 more than twice the
width(w). Which of the following represents the area of her garden in terms of the width ?
A
B
C 2w2 + 3w
D (2w + 3)
3w+ 6
3w2 + 3w +6
w
2w+ 3
_22. The Addams family is having a new addition to their family, but they have no room for
a baby, so they are adding onto their home as shown in the diagram below.
Area of House Area of Baby's Room
n +3
House
Baby's
room
n
:
n +1
2n-4
Which expression represents the total area of the house ana oaoy s room •.
A. 3n2 + 3 n - 1 2
B. 2n2 + n - 1 2
C. 6n - 12
D. 3n 2 -12
_23. Mr. Sproul wants to buy the materials to fence his backyard. His backyard is
rectangular with the following dimensions. Length 3x + 5 and width 2x — 2. Which answer
below best represents the amount of materials he needs in terms of x?
A. 5x + 3
B. 6x2 + 4 x - 1 0
C. 3x 2 +2x-5
D. 10x + 6
_24. The area of a rectangle is 3x + 14x + 8, and the width is x + 4. Which expression
best describes the rectangle's length?
A
3x + 2
B
2x + 4
C
2x+2
D
3x-2