Page 570 - Algebra 1

22. Multiple Choice What is the justification for subtracting 11 from all parts of the (82) inequality 32 < 7x + 11 < 39?
A Combine the variable.
B Addition Property of Inequality
C Distributive Property of Inequality
D Multiplication Property of Inequality
23. Health Checks A borderline unhealthy cholesterol level is between 200 and 240. (82) Five patients come to the doctor with borderline cholesterol levels. The first 4
have levels of 210, 230, 225, and 235. What could the fifth patient’s level be if the average of all the patients’ levels are within the borderline unhealthy range?
*24. Error Analysis Ms. Cho asks two students to factor the polynomial only if it is a (83) perfect-square trinomial. Which student is correct? Explain the error.
*25. Multi-Step A cylindrical thermos has a radius of r. Beneath the outer surface (83) is an insulating layer. The volume, in cubic centimeters, that the thermos
can hold is given by the expression 30πr2 - 60πr + 30π.
a. Factor the polynomial representing the volume of the thermos.
b. How thick is the insulating layer? c. What is the height of the thermos?
*26. Geometry The surface area of a cube is given by the expression (83) 6x2 + 36x + 54. What is the length of one side in terms of x?
*27. Multiple Choice Which function does the table of values (84) represent?
A y=x+8 B y=-x2 +12
C y=x2 +2 D y=-x2 -3x+4
*28. Formulate Write the equation of a function with degree 1 and of a function with (84) degree 2.
*29. Generalize What is the relationship of the graph of y = x2 to the graph of (84) y=-x2?
*30. Water Fountains A circular fountain sits in front of a city library. A pool of water (84) surrounds a sculpture that sits on a circular platform in the middle. The radius
of the sculpture is half the radius of the entire fountain. Write an equation to represent the area of the pool. Is the equation a quadratic function?
r
Student A
x2 +8x-16=(x-4)2
Student B
x2 + 8x - 16 is not a perfect-square trinomial.
Insulating Layer
x
-2
-1
0
1
2
y
6
6
4
0
-6
Lesson 84 555