Page 781 - Algebra 1

Solve each system of equations by using a graphing calculator.
(Ex 2) _2
d. y= x +1 e. y=-2x2 -1
2_ y = -x - 2 y = - 3x
2
Solve each system of equations by substitution.
(Ex 3)
f. y=x2 -3x-17 g. y=x2 +7x+5
y = -3x + 8 y = 2x - 1
h. Physics A gardener places a sprinkler at the bottom of a gently rising
_ _2
(Ex 4) hillside described by the equation y = 2x . The equation y = - x + x
5 25 represents the path of the water. If the water splashes onto a rock on the
hillside, what is the rock’s altitude? (Assume all dimensions are in feet.)
Practice
Distributed and Integrated
*1.
(112)
*2.
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3.
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4.
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*5.
(112)
*6.
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7.
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*8.
(111)
Solve this system by graphing: y = -x2 + 12. y = -x + 6
Multiple Choice Which system of equations has no solution? y=x2 +2 y=x2 -2 y=-x2 +2
A y=3 B y=3 C y=3 Simplify the rational expression c-2f-5 + _6 , if possible.
y=-x2 -2 D y=-3
c2f 5
Write a compound inequality that represents all real numbers that are greater than
-4 and less than 8.
Architecture In a European castle, a room with an arched ceiling is covered by a
slanted roof. The ceiling is modeled by the equation y = -x2 + 4 and the roofline by the equation y = -2x + 5. Assume that the dimensions are in meters. What are the coordinates for the point of intersection of the roof with the ceiling assuming that the vertex of the parabola is (0, 4)?
Analyze A system of three equations consists of the quadratic equation y = x2 and two linear equations that do not describe the same line. What is the maximum number of ordered pairs in the solution set? Explain.
A six-sided number cube is rolled three times. How many outcomes are possible?
Error Analysis Two students are finding the value of 6P6. Which student is correct? Explain the error.
Student A
6P6 = _6!
(6 - 6)!
= 6! _
0!
= undefined
Student B
6P6 = _6!
(6 - 6)!
= 6! _
0!
= _720 = 720 1
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Saxon Algebra 1