Math 9 Unit 5 Review
January, 2013
Name: ________________
1. Model each polynomial with algebra tiles.
B. −3" & + 2" + 1
A. 4" − 6
2. Model the polynomial, then simplify. Write the simplify polynomial.
4" & + 3" − 5 − 2" & + 7 − "
3. Complete the table.
Polynomial
5
7" − 3
2, & − 4, + 6
9 − 5"
8 + 4/ − 2/&
60 − 30 &
Variable
Degree
Number of
Terms
Coefficients
Constant Term
4. Two monomial are like terms if they have the same variables with the same exponents.
Tell if each pair of monomials are like terms or unlike terms.
A. 2" and −5"
B.
−3" & and 7"
C. 9"1 and 6"1
D.
−4" and −4
E. 8"1 & and 3" & 1
F.
−223 and 112& 3&
5. Simplify each polynomial by combining like terms.
A. 3" + 5 − 6" + 7 + 4" − 8
B. 3" & − 5" + 4 − 2" & + 7" − 8
C. 7" + 5" & − 9 + 2" − 10" & + 3
6. Add the polynomials.
A. 54" & + 3" − 26 + 55" & − 8" − 76
B. 56 − 4" + 7" & 6 + 55 + 3" − 2" & 6
7. Subtract the polynomials.
A. 56" & − 7" + 26 − 53" & − " + 46
B. 55" − 7 + 8" & 6 − 56 + 3" & − 9"6
8. Use algebra tiles to model each product. Determine the product.
A. 352" − 56
B. 2"54" + 36
9. Use the distributive property to find the product.
A. 354" − 56
B. −2"53" − 46
C. −5"56 − 3"6
D. 457 − 2" + 3" & 6
E. −352" & + 5" − 66
10. Use algebra tiles to model each quotient. Then determine the quotient.
A.
789:
&
B.
;<8 = 9:8
&8
11. Find the quotient using algebra.
A.
;>?8
@
B.
A8
;B8
C.
>&8;7
:
D.
>@8 = ;>?8
;@8
12. For the diagram:
A. Find the perimeter of the smaller rectangle.
3x
B. Find the area of the:
5x + 4
i) smaller rectangle
10x - 3
ii) larger rectangle
iii) the shaded region.
7x