Download HW#8 How Many Solutions (8th)

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DATE: ______________ HOUR: _______
HOMEWORK #8
ONE SOLUTION, INFINITELY MANY SOLUTIONS OR NO SOLUTIONS
1.)
8x – 20 = 5x + 24
2.)
This equation is one of the following:
x = a
or
a = b
or
-3(x + 3) = 5 + -3x + 4
This equation is one of the following:
a = a
x = a
or
a = b
or
a = a
How many solutions does this equation have?
How many solutions does this equation have?
One
One
3.)
or
None or
Infinitely Many
4.)
5x – 8 = 5(x + 5)
or
a = b
or
a = a
How many solutions does this equation have?
One
or
None or
None or
Infinitely Many
7x – 5 - 7 = 2(2x + 3)
This equation is one of the following:
This equation is one of the following:
x = a
or
Infinitely Many
x = a
or
a = b
or
a = a
How many solutions does this equation have?
One
or
None or
Infinitely Many
5.) Match the correct number of solutions with the graph
a. Infinitely many
solutions
6.) Without solving the systems of
equations below, tell how many
solutions they will have.
3x + 12 = 3x + 12
7x – 8 = 7x + 13
b. One solution
18x – 900 = 3.5x + 2
c. No solutions
8x – 13 = 8x + 43
7.) Solve the following system of equations algebraically.
y = 4(2x – 3)
y = 3(2x + 6)
a. Does your algebraic solution match the solution shown in the graph above? How can you
tell?