Page 157 - Algebra 1

Application: Zoology
The height of an average mandrill (a large species of baboon) is 2.54 cm more than 12 times the length of its tail. If the height of a mandrill is 78.74 centimeters, then what is the length of its tail?
SOLUTION
height of mandrill = (12 times the tail length) plus 2.54 cm
Write and solve an equation to find the length of the mandrill’s tail. 12t + 2.54 = 78.74
Example
4
Hint
Draw a diagram to help visualize the problem.
-_2_.5_4 = -_2_.5_4
Check
12t + 2.54 = 78.74 12(6.35) + 2.54 78.74 76.20 + 2.54 78.74 78.74 = 78.74
12t = 76.20
Subtraction Property of Equality Simplify.
Division Property of Equality Simplify.
12t = 76.20 __
12 12
t = 6.35 cm
The mandrill’s tail is 6.35 cm long.
Solve each equation.
Substitute 6.35 for t.
Multiply. ✓ Add.
Lesson Practice
a.
(Ex 1)
b.
(Ex 1)
c.
(Ex 2)
d.
(Ex 3)
e.
(Ex 4)
0.25 + 0.18y = 0.97 0.05 = 0.5 - 0.15q -0.5n + 1.4 = 8.9
0.6 of 24 is what number?
Highway Mileages Use the diagram. The distance from Town A to Town C is 52.8 kilometers. What is the distance from Town B to
Town C?
AxB 2x C
Practice
Distributed and Integrated
1. Multiple Choice What is the solution of _4 x = -24 for x? 5
(21) 96 _96
A-30 B-_5 C5 D30
142 Saxon Algebra 1