Page 255 - Algebra 1

Example
5
Application: Finding the Height of an Object
The formula h = -16t2 + 72t + 12 can be used to represent the height of an object that is launched into the air from 12 feet off the ground with an initial velocity of 72 feet/second. Rewrite the formula by factoring the right side using the GCF and making the t2-term positive.
SOLUTION
The GCF of the monomials is 4. To keep the t2-term positive, factor out -4. So h = -4(4t2 -18t - 3).
Find the prime factorization of each number.
Math Reasoning
Verify Show that the polynomial -2x3y - 6xy3 equivalent to
-2xy(x2 + 3y2)?
Lesson Practice
(Ex 1)
a. 100
Find the GCF of each expression.
(Ex 2)
c. 24m3n4 + 32mn5p
Factor each polynomial completely.
b. 51
d. 5p2q5r2 - 10pq2r2
(Ex 3)
e. 8d2e3 + 12d3e2
f. 12x4y2z - 42x3y3z2 g. 6x+18 h. 18x+45x3
__ 6 9x
i. Theformulah=-16t2 +60t+4canbeusedtofindtheheightof an (Ex 5) object that is launched into the air from 4 feet off the ground with an
initial velocity of 60 feet/second. Rewrite the formula by factoring the right side of the equation using the GCF and making the t2-term positive.
Distributed and Integrated
Factor each expression completely.
(Ex 4)
Practice
Solve each equation for the variable indicated.
1. 6=hj+kforj 2. _a+3 =cfora
Draw a graph that represents each situation.
(29) (29) b
3.
(Inv 2)
4.
(Inv 2)
5.
(Inv 2)
A tomato plant grows taller at a steady pace.
A tomato plant grows at a slow pace, and then grows rapidly with more sun and water.
A tomato plant grows slowly at first, remains a constant height during a dry spell, and then grows rapidly with more sun and water.
Find each unit rate.
6. Thirty textbooks weigh 144 pounds. 7. Doug makes $43.45 in 5.5 hours.
(31) (31)
240 Saxon Algebra 1