WorksheetsHow Many Solutions Multi-Step Equations
Total questions: 15
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1
3x - 8 = 3(x - 4) + 1
a)
one
b)
no solutions
c)
infinite solutions
2.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
3.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
2z - 6 = 2(z + 2) - 10
2z - 6 = 2(z + 2) - 10
a)
one
b)
no solutions
c)
infinite solutions
4.
Simplify the equation. Tell whether the equation has one, no, or infinite solutions.
4(-8x + 5) = -32x - 26
4(-8x + 5) = -32x - 26
a)
one
b)
no solutions
c)
infinite solutions
5.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
6.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
7.
6x + 9 – x = 3x + 9 + x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
8.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
9.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
10.
How many solutions would this system of equations have?
-10y-6 = -10y-6
a)
No Solution
b)
One Solution
c)
Infinite Solutions
11.
How many solutions would this system of equations have?
2m+6=2m+12
a)
No Solution
b)
One Solution
c)
Infinite Solutions
12.
How many solutions would this system of equations have?
-5y-15=5y-10
a)
No Solution
b)
One Solution
c)
Infinite Solutions
13.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
14.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
15.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
100 %
