1. Chapter 7
Multiplying and Dividing
Polynomials
Review

2. Checklist
Model multiplication of monomial
times a monomial, or monomial times
a binomial using algebra tiles or an
area model.
Write a multiplication statement that
represents an algebra tile model or an
area model.

3. Model division of monomial by a
monomial, or binomial by a monomial
using algebra tiles or an area model.
Write a division statement that
represents an algebra tile model or an
area model.

4. Simplify expressions to find products and
quotients without using models
Solve word problems involving
polynomial multiplication or division.

5. Model multiplication of monomial times a
monomial, or monomial times a binomial
using algebra tiles or an area model.
Model -2x(3x -2) using both an area
model and an algebra tile model
Algebra tile model
Area model

6. Write a multiplication statement that
represents an algebra tile model or an area
model.

7. Model division of monomial by a monomial,
or binomial by a monomial using algebra
tiles or an area model.
2
Model (4x + 8x) ÷ -2x using both an algebra model and an area model

8. Write a division statement that represents
an algebra tile model or an area model.
?
-4x 4xy - 12x

9. Simplify expressions to find products or
quotients without using models
Simplify to find the products
(show all steps using the distributive property)
a) 3x(-2x + 4)
b) (4.5x - 3)4x

10. Simplify to find the quotients (show all steps)
a) 2
15y - 12y
3y
b) (-10x2 + 4x) ÷ -4x

11. Solve word problems involving polynomial
multiplication or division.
The base of the parallelogram is 4x cm, the area of the
parallelogram is (16x2 + 4x) cm2, find and expression for
the height of the parallelogram
Remember...
Area of parallelogram A = bh
height
base

12. The area of rectangle B is three times the
area of rectangle A.
(3x + 2) cm A B
6x cm
a) Write an expression to find represent the area of rectangle A.

13. The area of rectangle B is three times the
area of rectangle A.
(3x + 2) cm A B
6x cm
b) Determine the expression for the area of rectangle B.

14. The area of rectangle B is three times the
area of rectangle A.
(3x + 2) cm A B
6x cm
c) If the width of rectangle B is 8x find the length of rectangle B.