Page 704 - Algebra 1

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Multi-Step When the temperature t of the gas argon is within 1.65 degrees of -187.65°C, it will be in a liquid form. This can be modeled by the absolute-value inequality ⎢t -(-187.65)⎢ < 1.65.
a. Solve and graph the inequality ⎢t -(-187.65)⎢ < 1.65.
b. One endpoint of the graph represents the boiling point of argon—the temperature at which argon changes from liquid to gas. The other endpoint represents the melting point—the temperature at which argon turns from solid to liquid. The higher temperature is the boiling point, and the lower temperature is the melting point. What is the boiling point of argon? What is the melting point?
Factor.
a.x2 +10x+25
b. x2 - 25
Measurement The sides of a triangle are labeled 5x inches, 4y inches, and
20 inches. Jonas wrote an inequality that satisfies the Triangle Inequality Theorem: 5x + 4y > 20. Graph the inequality.
Art Supplies Tim plans to go shopping for new paper and paint for his students, and he does not want to spend more than $40. Each pack of paper costs $2, and each set of paints costs $10. Write an inequality that describes this situation, and graph it on a graphing calculator.
Solve x(x + 12) = 0.
Verify Showthatx=_1isanextraneoussolutionto x-1 = 2x-2.
2 _x Multiple Choice Solve = .
A {3, 6} C {3, -6}
Add _m m2 - 4
+ _2 . 3m + 6
x-3 9
B {-3, 6} D {6}
Error Analysis Students were asked to write a quadratic equation that had no solution. Which student is correct? Explain the error.
Rocket Malachishotarocketforhisscienceproject.Thepathoftherocket’s movement formed a parabola given by the quadratic equation h = -16t2 + 4t + 10, where h is the height in feet and t is the time in seconds. Find the maximum height of the path the rocket makes and the time t when the rocket hits the ground. Round to the nearest hundredth.
_1 _3
Student A
f (x) = x2 - 3x + 12
Student B
f(x)=x2 +11x+11
Lesson 102 689