Page 697 - Algebra 1

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Error Analysis Students were asked if a quadratic equation could have more than one solution. Which student is correct? Explain the error.
Multi-Step Shaw hits a tennis ball into the air. Its movement forms a parabola given by the quadratic equation h = -16t2 + 2t + 9, where h is the height in feet and t is the time in seconds.
a. Find the maximum height of the arc the ball makes in its flight. Round to the
nearest tenth.
b. Find the time t when the ball hits the ground. Round to the nearest hundredth.
c. Find the time t when the ball is at its maximum height. Round to the nearest hundredth.
Find the LCM of (6w3 - 48w5) and (9w - 72w3).
Geometry A boy spills a cup of juice on the sidewalk. As time increases, the
area of the spill changes. The area of the spill is given by the function
A = -2t2 + 5t + 125, where A is the area in square feet and t is the time in seconds. Find the time when the area is 60 square feet. Round to the nearest hundredth.
Solve x2 + 9 = -6x by graphing. Solve the equation ⎢8x + 4 = 28.
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_Traveling Mia walked r - 2 miles to her neighbors’ house on Monday and walked
r2 miles on Tuesday to go see her grandmother. How many miles total did she 2-r
Student A
yes; A quadratic equation can have two solutions. When a parabola crosses the x-axis twice, there are two solutions.
Student B
no; A quadratic equation cannot cross the x-axis more than once. So, there can only be one solution.
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walk on Monday and Tuesday? Subtract _5 - _2 .
x-3 x-2
Soccer A soccer ball on the ground is passed with an initial velocity of 62 feet per
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second. What is its height after 3 seconds? Use h = -16t2 + vt + s. Measurement A girl is 24 years younger than her mother. The product of their
ages is 81. Find the mother’s age by finding the positive zero of the function y=x2 -24x-81.
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Saxon Algebra 1
Determine if the ordered pair (-7, 2) is a solution of the inequality y ≤ 3. Verify Show that _3 is a solution to (4x - 3)(5x + 7) = 0.
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Multiple Choice What are the roots of the equation 0 = x2 - 10x - 39?
A 0,39 B 10,0 C 3,-13 D 13,-3