Page 124 - Algebra 1

22.
(16)
23.
(5, 16)
24.
(14)
Multiple Choice A store owner makes a pyramid-shaped display using a stack of soup cans. She arranges the cans so that the highest level of the stack has one can. The second-highest level has four cans arranged in a square supporting the top can. The third-highest level has nine cans arranged in a square that supports the second-highest level. Which of the following expressions best represents the number of cans in the lowest level of a display that is l levels high?
A 3l B 4l C l2 D l3 Write a. What is the sign of the result when a negative value is cubed?
b. What is the sign of the result when the absolute value of an expression is taken?
Sites Use the table to answer the questions. a. If a building is randomly chosen, what is the probability that it is exactly 1250 feet
tall?
b. What is the probability that a building exactly 1046 feet tall is chosen?
c. What is the probability that a building that was built between 1960 and 1980 is chosen?
Write What is a perfect square?
Personal Finance The expression P(1 + i)2 can be used to find the value of
an investment P after 2 years at an interest rate of i. What is the value of an investment of $500 deposited in an account with a 3% interest rate after 2 years? (Hint: Remember to convert the percent to a decimal before calculating.)
Building
Height (ft)
Year Built
S S e e a a r r s s T To o w w e e r r
1451
1974
Empire State Building
1250
1931
Aon Center
1136
1973
John Hancock Center
1127
1969
Chrysler Building
1046
1930
New York Times Building
1046
2007
Bank of America Plaza
1023
1992
25.
(13)
26.
(9)
27.
(4)
28.
(6)
29.
(15)
30.
(14)
Racing The formula for the cylindrical volume of an engine on a dragster is _π 2
( 4 )b s, where b is the inside diameter (the bore) and s is the distance that
the piston moves from its highest position to its lowest position (the stroke). Following the order of operations, describe the steps you would take to simplify the formula.
Justify What is the additive inverse of 12? Justify your answer.
Multi-Step Theater tickets cost $14 dollars for adults, a, and $8 for children,
c. Additionally, each person who went to the theater on Thursday made a $5 contribution to charity. Write an expression using the Distributive Property to show the amount of money that the theater received on Thursday. Simplify the expression.
Probability What is the probability that an ace will be chosen from a full deck of 52 playing cards? What is the probability of another ace being drawn if the first ace drawn is not returned to the deck?
Lesson 19 109