Ch ap t e r Test M athX L ® f o r School^
Go to PowerAlgebra.comDo y o u k n o w H OW?
Simplify each expression.
„3*-7
t°5m )- c3y9c-1 c°
- 2y3*h2(2y1ihr4)6
5. (1.2)5(1.2)—2 - ( 27 *72)3
- Write th e expression (Axf>- in radical form.
- Write th e expression as a pow er w ith a rational
exponent.
Write a recursive definition for each geometric
sequence.
- 10, 40,160, 6 4 0 ,...
- 25, 5, 1 , 0 .2 ,...
Simplify each expression. Write each answer in
scientific notation.
- (6 X 104) (4.8 X 102)
12 .1.5 X 107
5 X 10“- Medicine The h u m a n body norm ally produces
about 2 X 106 red blood cells p er second.
a. Use scientific n o tatio n to express how m any red
blood cells your body produces in one day.
b. One p in t of blood contains ab o u t 2.4 X 1012
red blood cells. How m any seconds will it take
your body to replace th e red blood cells lost by
donating one p in t of blood? How m any days?
Evaluate each function for x = -1,2, and 3.- y = 3’5x
- f{x) = | • 4X
- f{x) = 4(0.95f
Graph each function.
1 7. y = i. 2 *- Banking A custom er deposits $2000 in a savings
acco u n t th a t pays 5.2% interest co m p o u n d ed
quarterly. How m u c h m oney will the custom er have
in th e acco u n t after 2 yr? After 5 yr? - Automobiles Suppose a new car is w orth $30,000.
You can use th e function y = 30,000(0.85)x to
estim ate th e c a r’s value after x y e a r s.
a. W hat is th e decay factor? W hat does it m ean?
b. Estim ate th e c a r’s value after 1 yr.
c. Estim ate th e c a r’s value after 4 yr.
Do y o u UN DERSTAN D?
2 1. E rro r A n alys is Find an d correct th e error in the
w ork show n below.- Reasoning Show that V x 9 = x3 by rewriting yKx9
in exponential form. - W riting Explain w h en a function in th e form
y = a • bx m odels exponential grow th a n d w hen it
m odels exponential decay. - Simplify th e expression ( )2 in two different ways.
Justify each step. - Reasoning Explain h o w y o u can use th e property
for dividing pow ers w ith th e sam e b ase to justify the
definition of a zero exponent.