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Solving System by Substitution

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

When solving a system of equations algebraically, which statement results in infinite solutions?

a)

4 = 7

b)

2 = 2

c)

-3 = 3

d)

all of the above

2.

When solving a system of equations algebraically, which statement results in no solution?

a)

4 = 7

b)

-2 = 2

c)

-3 = 3

d)

all of the above

3.

Which graph represents a system of equations with infinite solutions?

a)
b)
c)
d)

None of the above

4.

Solve the system of equations.

a)

(-23, 4)

b)

(-4, -3)

c)

(-2, -4)

d)

No solution

e)

Infinite solutions

5.

Solve the system of equations.

a)

(11, 21)

b)

(3, 11)

c)

(11, -67)

d)

No solution

e)

Infinite solutions

6.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

7.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

8.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

9.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
10.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
11.

Solve the following system:

 y=−2y=-2  

 4x−3y=184x-3y=18  

a)

 (3, −2)\left(3,\ -2\right)  

b)

 (3, 2)\left(3,\ 2\right)  

c)

 (−2,3)\left(-2,3\right)  

d)

 (2, 3)\left(2,\ 3\right)  

12.
y = -2x + 18
y = 8
a)
(5, 8)
b)
(-5, 8)
c)
(2, 8)
d)
(-2, 8)
13.
Who is the Hulk?
a)
Jacob Tabbert
b)
Bruce Banner
c)
Frank Castle
d)
Ben Grimm
14.
Which of the following Disney animated films took place mainly in Hawaii?
a)
Bolt
b)
Chicken Little
c)
Lilo and Stitch
d)
The Great Mouse Detective
15.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
16.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
17.

What does Substitution mean?

a)

To submerge in water

b)

The action of replacing

c)

To add a bunch of numbers together

d)

To stand up for the Constitution

18.
What is the solution to this system?
y = x + 5
4x + y = 20
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
19.

Solve the system of equations.

y = 4x + 1

3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

20.
Solve the system of equations using substitution:
3x - y = -8
x = -2
a)
(2, 2)
b)
(-2, -14)
c)
(-2, 2)
d)
(2, 14)

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