28 Jan The distance traveled by
1. In the statement, a property of real numbers has been incorrectly applied. Correct the right side of the statement. 5(x + 2) = 5x + 2
The correct statement is 5(x + 2) = .
2. In 1950, in a certain country, the percent of the population over age 65 was 8.1%. In 2050, the percent of the population over age 65 is expected to be 2.9 times the percent of the population which was over age 65 in 1950.
Estimate the percent of the population expected to be over age 65 in 2050.
%
(Simplify your answer.)
3. Most of a volcano lies below sea level. If this volcano begins at 5999 meters below sea level and then rises
10,205 meters, find the height of the volcano above sea level.
Sea
level
10,205 m
5999 m
The height of the volcano above sea level equals m.
4. Write the following sentence using mathematical symbols.
Twice the difference of x and 10 is greater than the reciprocal of 8.
The answer is
.
5.
The algebraic expression
100x + 8,000
represents the cost per bookshelf (in dollars) of producing x bookshelves.
x
(a) Complete the table that follows by evaluating this expression at the given values of x.
(b) As the number of bookshelves manufactured increases, (see the table) does the cost per bookshelf increase or decrease?
(a)
Number of
x
10
100
1,000
Bookshelves
Cost per Bookshelf
100x + 8,000
x
(b) The cost will (1)
.
(1)
decrease
increase
6. Evaluate the expression when x = 8 and y = ? 2.
4 + 2 x ? y
x + 2y
4 + 2
x ? y
=
x + 2y
(Simplify your answer.)
7. Find 5x when x = 3.
The answer is .
8. Insert < , > , or = between the given pair of numbers to form a true statement.
? 12
? 13
? 12 (1)
? 13
(1)
>
< = 9. To demonstrate the distributive property geometrically, represent the area of the larger b c rectangle in two ways, first as width times length and second as the sum of the areas of the smaller rectangles. a b+c The area of the larger rectangle obtained by multiplying width times length is . (Do not simplify.) The area of the larger rectangle obtained by finding the sum of the areas of the two smaller rectangles is . (Simplify your answer.) 10. An aircraft flies at an average speed of 300 miles per hour. The expression 300t gives the distance traveled by the aircraft in t hours. Find the distance traveled by the aircraft in 6 hours. The distance traveled by the aircraft in 6 hours is (1) (Simplify your answer.) (1) miles per hour. miles. square miles.
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