Page 1 of 2
Name Date Class
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
8-1 Holt Algebra 2
Practice B
Solving Rational Equations and Inequalities
Solve each equation.
1. 6
5x
x 2. 156
3
4x
3.
3
2x
x
4.
2
41
24xx
Solve each inequality by using a graphing calculator and a table.
5.
6
3
1x
6.
0
2
x
x
7.
2
0
5
x
x
8.
0
3
x
x
Solve each inequality algebraically.
9.
12
4
4x
10.
7
5
3x
11.
9
2
x
x
12.
2
3
5
x
x
Solve.
13. The time required to deliver and install a computer at a customer’s location
is 4d
t
r , where t is time in hours, d is the distance, in miles, from the
warehouse to the customer’s location, and r is the average speed of the
delivery truck. If it takes 6.2 hours for the employee to deliver and install a
computer for a customer located 100 miles from the warehouse, what is
the average speed of the delivery truck?
LES
SON
8-5
Page 2 of 2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A8 Holt Algebra 2
c. $154; $130; $112
d. y 70; possible answer: no matter how
many people go on the trip, the cost per
person cannot be less than $70.
2. a.
1000
()145fx
x
b. $345.00; $287.90; $245.00
c. $133.00
3. A 4. C
Reading Strategies
1. x 6; y 5; {x|x 6}; {y|y 5}
2. x 4; y 1; {x|x 4}; {y|y 1}
3. x 2 4. y 3
5. {x|x 2} 6. {y|y 3}
7.
1
()3
2fx
x
LESSON 8-5
Practice A
1. x 2. 4x 6
3. x 3 4.
1
2x
5. x 12 6. x 3, x 1
7.
24
13x
8. x 2 or x 2
9. 5 x 10 10. x 1 or x 2
11. 4 x 1
12. x 4 and 1 because they make the
denominators of the original equation
equal to 0
13. a. The length of time it would take Ari to
wash the car himself
b. m 6
Practice B
1. x 1 or x 6 2. x 8
3. x 3 or x 1 4. no solution.
5. 3 x 1 6. x 0 or x 2
7. 5 x 0 8. 0 x 3
9. x 4 or x 1 10.
22
3
5x
11.
9
2
4x
12. 5 x 15
13. About 45.5 miles per hour
Practice C
1. r
4
9
2. no solution.
3. x 7 and x 1 4. d
1
5
5. x 1 or x 0 6. 5 x 3
7. 3 x 2 8. x 3 OR x 4
9. m 0 or m 4 10. 5 s 9
11. z 24 or z 4 12. x 12 or x 15
13. About 14.83 in. 14. About 18.6 h
Reteach
1. x 2 2x 8 0
(x 4)(x 2) 0
x 4, x 2
2. x 2 6 x
x 2 x 6 0
(x 3)(x 2) 0
x 3, x 2
3. 5
()4()()xxxx
x
x 2 4x 5
x 2 4x 5 0
(x 5)(x 1) 0
x 5, x 1
4.
1
5(2)
2
x
x
x
5(2)
5
x
x
5 5(x 1) x(x 2)
x 2 3x 10 0; x 5
5.
3
3(1)3(1)
31
xx
xx
x
4
3(1)
1x
x