Name____________________________________ Date_____________
Period_______
SOLVING EQUATIONS WITH INFINITE OR NO SOLUTIONS WORKSHEET
1) 3x – 8 = 3(x – 3) – 2
2) 5a – 12 = 2a – 3 + 8 + 3a
3) 5(2r – 3) = 10r – 15
4) 18y – 6y = 11(y + 2) + y
5) d – 2d + 3 = 3 – d
6)
2
3
(6c  3)  6(c  3)
7)
When all the variables cancel out in an equation, how do you know if there are no
solutions or infinite solutions?
8)
Would an equation that is called an identity have zero, one or infinite solutions?
9)
Which of the following expressions is equivalent to 5(2x – 8)?
a) 10x – 8
10)
c) 10x – 3
d) 10x - 40
Which of the following expressions is equivalent to 4 + 3(12x – 5)?
a) 36x – 11
11)
b) 52x – 58
b) 36x – 15
c) 84x – 35
How many solutions does the following equation have?
4x + 3x – 8 = 14 + 7x
d) 36x – 1