Page 317 - Algebra 1

Practice
Distributed and Integrated
Find the greatest common factor. 1. 4ab2c4 - 2a2b3c2 + 6a3b4c
(38)
Simplify.
3. 4x2(ax - 2)
(15)
2. 5m2x2y5 - 10m2xy2 + 15m2x2y4 (38)
(39)
e.
(Ex 2)
Fuel Prices The following data show the annual mean price of regular gasoline for 10 cities across the United States in 2005: $2.26, $2.32, $2.22, $2.24, $2.27, $2.49, $2.39, $2.30, $2.48, $2.36. What was the median price of a gallon of regular gasoline among these cities in 2005 in dollars? If budgeting money for gasoline, would you use this measure of central tendency? Explain.
5. A deck of cards contains 6 green cards and 2 yellow cards. What is the probability
(33)
of drawing a green card, keeping it, and then drawing another green card? *6. Find the mean, median, and mode of the following data set:
(48)
number of kittens in 11 litters: 3, 5, 4, 2, 6, 6, 2, 1, 4, 6, 5.
7. Statistics The numbers below have a mean of 17.5. What four identical values
(26)
8. Multi-Step The area of a square game board is represented by the
a. Write this expression as a product of two terms.
b. Distribute both fractions in the first factor, _x and -_r , one at a time, as if it
yx were two separate problems: _x _x - _r and -_r _x - _r .
y(y x) x(y x)
9. Write When is the statement (-2)n = 2n true for a positive integer n? When is it
c. Simplify the result of part b. false? Explain.
_ a-2cd 0
4. 6a-3c-3
(32)
could be added to this set of numbers to increase the mean to 19? {19, 18, 17, 17, 19, 15}
_x _r 2 expression (y - x ) .
(4 0)
10. Data Analysis If x + 12 represents the number of data values in a set of data, the
(48)
302
Saxon Algebra 1
mean of this data is 9, and the sum of all the data values is 216, how many data values are in the set?
a. Write an equation to find the value of x. Start with the formula for finding
the mean.
b. Solve for x.
c. Find the number of data values in the set.