Page 97 - Algebra 1

Example
5
Application: Landscaping
The turf on a football field is being replaced. The field is 300 feet long and 160 feet wide, not including the two end zones. Each end zone adds an additional 30 feet to the field’s length. Write an expression using the Distributive Property to show the entire area of the field. Simplify the expression.
Hint
To find the area of a rectangle, multiply length times width.
82 Saxon Algebra 1
a.
(Ex 1)
c.
(Ex 2)
e.
(Ex 3)
g.
(Ex 4)
i.
(Ex 5)
8(2+7) -(9+3) -10(m+4) 4xy3(x4y - 5x)
b. 4(6-2) (Ex 1)
d. -14(4-2) (Ex 2)
f. (7-y)8 (Ex 3)
h. -2x2m2(m2 - 4m) (Ex 4)
SOLUTION
width
= 160
= 160(30 + 300 + 30)
= 160(30) + 160(300) + 160(30) = 4800 + 48,000 + 4800
= 57,600
× ×
length
(30 + 300 + 30)
30 ft
300 ft
30 ft
Check Use the order of operations.
160(30 + 300 + 30) Perform the operation inside the parentheses. = 160(360) Multiply.
= 57,600 ✓
The area of the football field is 57,600 ft2.
Use the Distributive Property. Multiply.
Add.
160 ft
Lesson Practice
Simplify each expression.
A group of 4 adults and 8 children are buying tickets to an amusement park. Tickets are $15 each. Write an expression using the Distributive Property to show the total cost of the tickets. Simplify the expression.