x +9 feet. Write a rational expression that represents the area of 2 x + 16 the sandbox. Simplify the expression and state any excluded values. _______________________________________________________________________
Name ________________________________________ Date __________________ Class __________________ LESSON
9-2
Multiplying and Dividing Rational Expressions Practice and Problem Solving: A/B
Multiply. State any excluded values. 1.
6x 6x i 10 3 x 3
2.
________________________________________
3.
________________________________________
1 7 x 3 + 49 x 2 i x+9 x+7
4.
________________________________________
5.
4x 8x i 3 2
6 x 2 − 54 x 7 x i 6x x −9 ________________________________________
18 x − 36 2 i 4x − 8 9 x + 18
(
)
6. 56 + 11x − 15 x 2 i
________________________________________
10 15 x − 11x − 56 2
________________________________________
Divide. State any excluded values.
7.
4x 4x ÷ 5x 6
8.
________________________________________
9. ( 2 x + 6 ) ÷
( x − 1)( x − 10 )
÷
x −2 x − 10
________________________________________
14 x 2 + 42 x 10
10.
________________________________________
11.
6 ( x − 2)
27 x + 9 3 x 2 − 8 x − 3 ÷ 10 10 ________________________________________
24 x + 56 15 x + 35 ÷ 10 x 3 − 90 x 2 5
12.
________________________________________
2 x + 20 2 ÷ 12 x 3 − 30 x 2 14 x − 35 ________________________________________
Solve.
13. The distance, d, traveled by a car undergoing constant acceleration, a, 1 for a time, t, is given by d = v 0 t + at 2 , where v 0 is the initial velocity of 2 the car. Two cars are side by side with the same initial velocity. One car accelerates, a = A, and the other car does not accelerate, a = 0. Write an expression for the ratio of the distance traveled by the accelerating car to the distance traveled by the nonaccelerating car as a function of time. _________________________________________________________________________________________