Page 710 - Algebra 1

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Time and Distance A stone is dropped from a height of 450 feet. Use the equation 25t2 - 450 = 0 to find how many seconds it takes for the stone to hit the ground.
4x + 2y = 22
Solve by substitution.
6x - 5y = 9
Verify True or False: 5x2 + 125 = 0; x = ±5. If the answer is false, provide the
correct answer.
Solve and graph the inequality.
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-6⎢x⎢+20≥2 14x+2y>6
Error Analysis Two students solve the inequality -12⎢x⎢ - 15 > -39. Which student is correct? Explain the error.
Student A
-12⎢x⎢ - 15 > -39 -12⎢x⎢ > -24
⎢x⎢ > 2
x < -2 OR x > 2
Student B
-12⎢x⎢ - 15 > -39 12⎢x⎢ + 15 < 39 12⎢x⎢ < 24
⎢x⎢ < 2 -2 < x < 2
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Geometry Find the length of the line segment that is the graph of the _x
inequality⎢7 +6 -5≤4.
Tennis The diameter d of a tennis ball should vary no more than _1 inch
_5 16
from 2 16 inches. Write and solve an absolute-value inequality that models the
acceptable diameters. What is the greatest acceptable diameter? Graph the function y = 10x2 - 20.
Soccer The height h in meters of a kicked soccer ball is represented by the function h = -5t2 + 20t, where t stands for the number of seconds after the ball is kicked. When is the ball on the ground?
Data Analysis A teacher graphed the test grades. He found that the distribution formed a parabola. Solve the equation 0 = x2 - 170x + 7000 to find its roots.
Write What are the other names for the x-intercepts of a function?
Multiple Choice What is the equation of the parabola that passes through the points
(0, 2), (-2, 6), and (6, 14)? Ay=x2-x+2
_1 2
B y=-2x-x+2
C y = _1 x 2 + x - 2 22
D y = _1 x 2 - x + 2
Lesson 103 695