Math 263: Practice #3 (Chapter 5 & 6)
1- Find each product using either a horizontal or a vertical format. Pg. 337: 17, 18, 19, 20
2- Factor by grouping. Pg. 347: 51, 52, 54, 55, 56, 58, 59
3- Use the Pythagorean Theorem to find the missing lengths in a right triangle.
Pg. 393: 81, 82, 83, 84
and
x+8
5
x+7
4- Multiplying and dividing rational expressions.
Pg. 414: 55, 66, 84, 87, 95, 96, 98
and
(
)
5- Adding and Subtracting rational expression with unlike denominators. Simplify the result.
Pg. 427: 53, 54, 57, 58, 61, 66
6- Simplify each complex rational expression by the method of your choice.
Pg. 436: 14, 19, 20, 23, 27, 28, 33
7- Divide as indicated. Check your answer by showing that the product of the divisor and the
quotient, plus the remainder, is the dividend.
Pg. 444: 23, 25, 26, 31, 32, 36
8- Use Synthetic division and the Remainder theorem to find the indicated function value.
Pg. 453: 6, 7, 8, 9, 20, 22, 23, 24
9- Solve each rational equation. State if the equation has no solution.
Pg. 463: 23, 27, 28, 29, 30, 31, 33, 34
and
10- Working together problems. Pg. 476: 38, 39, 40, 41, 42
and
Working together, Tom and his cousin need 4 hours to vacuum all class rooms in the
building. Working alone, it takes Tom 6 hours longer than his cousin to vacuum the
classrooms. How long will it take his cousin to vacuum the building alone?