Evaluate: Homework and Practice
• Online Homework
• Hints and Help
• Extra Practice
Solve each rational equation by graphing using a table of values.
1.
x
_____
= -3
x+4
x
(x, y)
y
-8
8
4
-6
x
-5
-8
-3.5
-4
-2
x
_
=3
2x - 10
x
0
4
-4
8
-8
0
2.
y
(x, y)
y
0
8
y
4
3
x
4
-8
5.5
-4
7
0
-4
4
8
-8
10
3.
-4x
x
_
and _
3x - 27
2x + 16
Module 10
4.
550
© Houghton Mifflin Harcourt Publishing Company
Find the LCD for each set of rational expressions.
5x + 13
x 2 - 4 and _
_
5x - 30
7x - 42
Lesson 3
5.
5x + 15
4x + 12
 ​ 
and ​  _ 
​  _
  ​ 
2
10x
+ 20
​x ​ ​ + 5x + 6
6.
- 11   ​ and ​ __
2 
 ​
​ __
  
  
​x ​2​ - 3x - 28
​x ​2​ - 2x - 24
7.
12 
-1   ​ 
__
​    
 ​ and ​ _
2
​3x ​ ​ - 21x - 54
​21x 2​ ​ - 84
8.
3x 
17 
__
​    
 ​ and ​ __
 ​
  
2
2
​5x ​ ​ - 40x - 60
- ​7x ​ ​ + 56x + 84
Solve each rational equation algebraically.
13  ​ 
_
​  9  ​ - _
​  5 ​  = -​ _
4x
12x
6
10. _
​  3   ​ + _
​  2 ​  = 2
7
x+1
© Houghton Mifflin Harcourt Publishing Company
9.
Module 10
551
Lesson 3
56   ​ − _
​  7   ​ 
​  6   ​ = _
11. ​ __
  
x−5
x+3
​x 2​ ​ − 2x − 15
​x  ​ ​ − 29   ​ = _
​  6   ​ + _
  
​  5   ​ 
12. ​  __
2
x
−
7
x−3
​x ​ ​ − 10x + 21
2
© Houghton Mifflin Harcourt Publishing Company
Module 10
552
Lesson 3