Algebra 2
HS Mathematics
Unit: 07 Lesson: 01
Is This True?
Below are several statements about the properties of rational expressions.
Next to each problem number indicate if the statement is true or false.
1 ______
5x
5
x
(Because you can “cancel” the x’s.)
2 ______
5x
5
x
(Because you can “cancel” the x’s.)
3 ______
x 2  3x  2 x 2  3x

5x  2
5x
(Because the 2 and the +2 “cancel.”)
4 ______
8 x 3 24
 
5 x
5
(Multiply across, and the x’s “cancel.”)
5 ______
1 x 1
 
x 4 4
(Go straight across, and the x’s “cancel.”)
6 ______
4x 3 4x  3
 
7 x
7x
(Because you can add straight across.)
7 ______
4x
3
4x  3


x 1 x 1
x 1
(Because you only add the numerators.)
8 ______
1
2x  7
2
x 3
x 3
(When graphed, both have the same
asymptotes.)
©2012, TESCCC
10/09/12
page 1 of 2
Algebra 2
HS Mathematics
Unit: 07 Lesson: 01
Transparency: Is This True?
Below are several statements about the properties of fractions.
Next to each problem number indicate if the statement is true or false.
1 ______
5( 4)
5
( 4)
(Because you can “cancel” the 4’s.)
2 ______
53
5
3
(Because you can “cancel” the 3’s.)
3 ______
932 93

52
5
(Because the 2 and the +2 “cancel.”)
4 ______
8(2) 3
24


5
(2)
5
(Multiply across, and the 2’s “cancel.”)
5 ______
1 3 1
 
3 4 4
(Go straight across, and the 3’s “cancel.”)
6 ______
1 2 3
 
2 3 5
(Because you can add straight across.)
7 ______
4 3
7


11 11 11
(Because you only add the numerators.)
8 ______
3
11
2 
4
4
(To get 11, multiply 4 and 2, then add 3.)
©2012, TESCCC
10/09/12
page 2 of 2