Page 467 - Algebra 1

Practice Distributed and Integrated
Add.
*1. -6√ 2 + 8√ 2
(69)
Determine the degree. 4. 9x
(53)
*2. -4√ 7 - 5√ 7 (69)
5. -3x2 +2x+16 (53)
*3. 2√ 3 + 5√ 3 (69)
6. xy+2 (53)
Find the probability of the events described below.
*7. rolling a sum of 2 or a sum of 12 with two number cubes
(68)
8. rolling a sum greater than 1 (68)
9. Volleyball A volleyball is hit upward from a height of 1.4 meters. The expression (53) -4.3t2 + 7.7t + 1.4 can be used to find the height (in meters) of the volleyball
at time t. The ball was hit from a moving platform that has a height (in meters) of -3t2 + 5t + 6. What is the combined height?
10. Display the data using a box-and-whisker plot titled “Hours a Candle Burns”. (54) Identify any outliers.
4, 12, 3, 5, 7, 9, 4, 8, 3, 18, 5, 8, 4
11. Multi-Step The number of miles represented on a map varies directly with the
(56) number of inches on the map. In Texas, the distance from Austin to San Antonio
is 79 miles; on a map, it is 5 inches.
a. Write the equation that represents this relationship.
b. Graph this relationship.
c. Estimate how far Waco is from Austin if they are 6 _1 inches apart on a map.
2
12. ProducePurchase Bananasare$0.10andapplesare$0.25.Thetotalcostfor35pieces
(59) of fruit is $6.80. How many of each fruit were purchased?
13. Multi-Step Luke is building a new fence around his property. (60) Write an expression for the area of the shaded region.
a. Find the area of the smaller square.
b. Write an expression for the area of the larger square using
special products.
c. Simplify part b.
d. Write an expression for the area of the shaded region.
5 feet
14. Generalize Use examples to explain why √x · √ x = -x for all negative values of x. (61)
15. Solve the system of linear equations given below.
(63)
6x + 15y = 15 7x - 3y = -3
452 Saxon Algebra 1
x
x
5 feet