Algebra 1 - MathnMind

12-2
NAME ______________________________________________ DATE ____________ PERIOD _____
Practice
Rational Expressions
State the excluded values for each rational expression.
1. 2.
a
3.
2 p 2a 15
a2 8a 15
2 4n 28
n2 49
16
p2 13p 36
Simplify each expression. State the excluded values of the variables.
4. 5.
36m
6.
3np2 6xyz
20m2np5 3
12a
48a3
3x2y2z p
7. 8.
2 5c 8p 12
p 2
3d4
40cd2 5c4d2 m m 3
9. 10.
m2 9
2 4m 12
m 6
x
11. 12.
2 2b 14
7x 10
b2 9b 14
x2 2x 15
r
13. 14.
2 y 7r 6
r2 6r 7
2 6y 16
y2 4y 4
r
15. 16.
2 t r 6
r2 4r 12
2 81
t2 12t 27
2y
17. 18.
2 2x 9y 4
4y2 4y 3
2 18x 36
3x2 3x 36
ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?
PHYSICAL SCIENCE For Exercises 21–23, use the
following information.
Mr. Kaminksi plans to dislodge a tree stump in his yard by
using a 6-foot bar as a lever. He places the bar so that 0.5 foot
extends from the fulcrum to the end of the bar under the tree
stump. In the diagram, b represents the total length of the bar
and t represents the portion of the bar beyond the fulcrum.
21. Write an equation that can be used to calculate the
mechanical advantage.
22. What is the mechanical advantage?
23. If a force of 200 pounds is applied to the end of the lever, what is the force placed on the
tree stump?
© Glencoe/McGraw-Hill 714 Glencoe Algebra 1
b
fulcrum
t
tree stump