Page 702 - Algebra 1

Example
4
Practice
Simplify.
Distributed and Integrated
1. 4(2p-2q)2(3p3q)2 (4 0)
2. (7√ 8)2 (76)
Application: Crafts
Malik covered a cube with exactly 864 square inches of self-stick vinyl. What is the side length of the cube?
SOLUTION
Use the formula to find the surface area of a cube: S = 6s2. S = 6s2
Substitute 864 for S. Division Property of Equality
Simplify.
Take the square root of both sides. Simplify.
Math Reasoning
Analyze Why is -12 square inch not a possible answer?
864 = 6s2 864 6s2
__ 6=6
144 = s2
± √ 1 4 4 = √ s
Check S=6s2 864 6(12)2
864 6(144) 864 = 864 ✓
Solve each equation.
2
±12 = s
The longest possible side length of the cube is 12 inches.
Lesson Practice
a.
(Ex 1)
b.
(Ex 1)
c.
(Ex 2)
d.
(Ex 2)
e.
(Ex 3)
f.
(Ex 3)
g.
(Ex 4)
x2 =81
x2 = -36
x2 +5=54 3x2 -75=0 x2 =72
5x2 -60=0
A golf ball is dropped from a height of 1600 feet. Use the equation 16t2 - 1600 = 0 to find how many seconds t it takes for the ball to hit the ground.
Lesson 102 687