Page 454 - Algebra 1

Example
4
Practice
Distributed and Integrated
Find the product. 1. (2b-3)2
(60)
Simplify.
2. (-b3 +5)2 (60)
4. √144x6y
(61)
√
3. 25x4 (61)
Application: Jogging
Brandon started jogging at a rate of 4 miles per hour. After he jogged
1 mile, his friend Anton started jogging on the same path at a pace of
4 miles per hour. If they continue to jog at the same rate, will Anton ever catch up with Brandon? Explain.
SOLUTION Write a system of equations to represent the situation. y = 4x + 1
y = 4x
The two equations have the same slope and different y-intercepts. The lines
are parallel, so there are no solutions.
The boys are jogging at the same rate. Brandon had jogged 1 mile before Anton started. Anton will never catch up with Brandon.
Math Reasoning
Analyze What does each equation represent?
Lesson Practice
Solve.
a. y=_1x+_1
(Ex 1) 2 2 y = _1 x + 7
2
b. x+y=10
(Ex 2)
-x - y = -10
Determine if the system of equations is consistent and independent, consistent and dependent, or inconsistent.
(Ex 3)
c. 4y=4x+4
-4y = -4x - 4
d. -2x+y=3 y = -x - 2
e. An emergency-road-service company offers different plans to its
(Ex 4)
(
customers. Plan X offers service calls for $22 each. Plan Y offers a rate of $40 per month with an additional charge of $12 for each service call. For one month, how many service calls would it take for Plan Y to cost the same as Plan X? Explain.
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