Page 762 - Algebra 1

13. Geometry Suppose the perimeter of a rectangle must be less than 50 units and (109) the width must be greater than 5 units. Graph a system of linear inequalities to
describe this situation. Give one set of possible dimensions for the rectangle. 14. Evaluate the function f(x) = -3(6)x for x = -2, 0, and 2.
(108)
15. Error Analysis Which student correctly evaluated f(x) = 2(3)x for x = 2? Explain (108) the error.
_1 x
*16. Chemistry Amaro uses f(x) = 10(2 ) to give the amount remaining from 10 grams
(108) of a radioactive substance after x number of half-lives. Which graph represents this function?
Student A
f(x) = 2(3)x = 6x
= 62 = 36
Student B
f(x) = 2(3)x = 2(3)2
= 2(9) = 18
Graph A Graph B Graph C
y
8
4
O
x
2
4
6
y
6
4
2
x
-6
-4
-2
O
y
6
x
2
-4
-8
2x - 5 ___
√ 15x y 2 5x
17. Simplify . 18. Subtract -
2
x -9
.
(103) 3
(95) 10x-30 √
3 √10xy
19. Astronomy Astronomers can use the formula T = d3 to find the time T it takes a (103) planet to orbit the Sun (in earth years), knowing the distance d of the planet from
the Sun (in astronomical units, AU). If Mars is about _3 AU from the Sun, about 2
how long does it take Mars to orbit the Sun in earth years? Give your answer as a rational expression.
20. Multiple Choice What is the absolute-value function of the graph? (107)
A f(x)=|x+2| B f(x)=|x-2| C f(x)=|x|+2 D f(x)=|x|-2
21. Solve p2 + 13p = -50 by completing the square. (104)
y
4
2
O
x
-4
-2
2
4
-2
-4
Lesson 110 747