9-6 Solve It!
Ever wonder
how to tell if an
equation has no
solution?
Your friend’s aunt has a brick walkway in her backyard. Her plan is
to decrease the length by the same amount she increases the width
to make a rectangular patio. She wants the patio to have an area
of 310 ft2. Can she build a patio to meet her plan? Explain your
reasoning.
5 ft
30 ft
9-6 Lesson Quiz
1. What are the solutions of x2 1 12x 1 32 5 0? Use the
quadratic formula.
2. Linda shoots an arrow at a target in an archery competition.
The arc of the arrow can be modeled by the equation
y 5 20.02x2 1 0.65x 1 4, where x is the horizontal distance
(in meters) from Linda and y is the height (in meters) of the
arrow. How far from Linda does the arrow hit the ground?
3. What method(s) would you choose to solve the quadratic
equation 22x2 1 8x 1 13 5 0? Justify your choice.
4. What is the number of solutions of 4x2 1 12x 1 9 5 0?
5. Do you UNDERSTAND? A football player tosses the ball
0567_hsm11a1seNA_0906.indd 567
through the air to a teammate. Could the path of the ball be
described by the equation y 5 0.5x2 1 0.3x 1 2?
2/26/09 6:09:43 PM
Answers
Solve It!
Lesson Quiz
50; explanations may vary.
1. 28, 24
2. 37.8 m
3. quadratic formula or
graphing; the equation
cannot be factored, and the
leading coefficient is not
equal to 1.
4. 1
5. No; the graph for the path of
a ball must be a parabola
that opens downward, so if
the equation is in the form
y 5 ax2 1 bx 1 c, a must
be negative.
Prentice Hall Algebra 1 • Solve It/Lesson Quiz on Transparencies
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