Multiplying a Monomial by a Polynomial Multiplying Polynomials

Example 6-1a Find Method 1 Horizontal Distributive PropertyMultiply.

Example 6-1b Method 2 Vertical Distributive Property Multiply. Find Answer:

Example 6-1c Find Answer:

Example 6-2a Simplify Distributive Property Product of Powers Commutative and Associative Properties Answer: Combine like terms.

Example 6-2b Simplify Answer:

Example 6-3a Entertainment Admission to the Super Fun Amusement Park is $10. Once in the park, super rides are an additional $3 each and regular rides are an additional $2. Sarita goes to the park and rides 15 rides, of which s of those 15 are super rides. Find an expression for how much money Sarita spent at the park. WordsThe total cost is the sum of the admission, super ride costs, and regular ride costs. VariablesIfthe number of super rides, then is the number of regular rides. Let M be the amount of money Sarita spent at the park.

Example 6-3b Equation Amount of moneyequalsadmissionplus super ridestimes $3 per rideplus regular ridestimes $2 per ride. M 10s3 2 Answer:An expression for the amount of money Sarita spent in the park is, where s is the number of super rides she rode. Distributive Property Simplify Simplify.

Example 6-3c Evaluate the expression to find the cost if Sarita rode 9 super rides. Add. Answer:Sarita spent $49.

Example 6-3d The Fosters own a vacation home that they rent throughout the year. The rental rate during peak season is $120 per day and the rate during the off-peak season is $70 per day. Last year they rented the house 210 days, p of which were during peak season. a.Find an expression for how much rent the Fosters received. b.Evaluate the expression if p is equal to 130. Answer: $21,200 Answer:

Example 6-4a Solve Subtractfrom each side. Original equation Distributive Property Combine like terms.

Example 6-4b Add 7 to each side. Add 2b to each side. Divide each side by 14. Answer:

Example 6-4c Original equation Check Add and subtract. Simplify. Multiply.

Example 6-4d Solve Answer:

Homework Quiz

Multiplying Polynomials

Example 7-1a Find Method 1 Vertical Multiply by –4.

Example 7-1b Find Multiply by y.

Example 7-1c Find Add like terms.

Example 7-1d Find Method 2 Horizontal Answer: Distributive Property Multiply. Combine like terms. Distributive Property

Example 7-2a Find Multiply. Combine like terms. Answer: F F O O I I L L

Example 7-2b Find Multiply. Answer: Combine like terms. FIOL

Example 7-1e Find Answer:

Example 7-2c Find each product. a. b. Answer:

Example 7-3a Geometry The area A of a triangle is one-half the height h times the base b. Write an expression for the area of the triangle. Identify the height and the base. Now write and apply the formula. Area equals one-half height times base. Ahb

Example 7-3b Original formula Substitution FOIL method Multiply.

Example 7-3c Combine like terms. Distributive PropertyAnswer:The area of the triangle is square units.

Example 7-3d Geometry The area of a rectangle is the measure of the base times the height. Write an expression for the area of the rectangle. Answer:

Example 7-4a Find Distributive Property Answer: Combine like terms.

Example 7-4b Answer: Combine like terms. Find Distributive Property

Example 7-4c Find each product. a. b. Answer:

Homework 8-6 Multiplying a Polynomial by a Monomial 8-7 Multiply Polynomials Four pages Even Problems