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Math 8.2 MP4 Quarterly Review

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
2.
What is the solution to this system?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
3.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
4.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
5.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
6.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
7.
The solution to the system is
a)
(-2, -8)
b)
(-8, -2)
c)
(2, -8)
d)
No solution
8.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
9.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
10.

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3y=5x+3

y=5x2y=5x-2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

11.

Based on the equations for each line, determine how many solutions the system would have.

y=3x+2y=-3x+2

y=3x+2y=-3x+2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

12.

Based on the equations for each line, determine how many solutions the system would have.

y=3x+2y=-3x+2

y=3x2y=3x-2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

13.
How can you tell if a point is a solution to a system?
a)
It makes the first equation true.
b)
The (x,y) coordinates satisfy both equations
c)
It makes logical sense
d)
It makes neither equation negative
14.

Determine if (4, 1) is a solution for the system of equations.
y=x+5y=-x+5
y=2x7y=2x-7

a)
yes
b)
no
15.

Is the point (2, -1) a solution to the system of equations below?

y=5x+3y=5x+3

y=2x4y=-2x-4

a)

Yes

b)

No

16.

Solve using elimination.

4x6y=6-4x-6y=6
4x+6y=44x+6y=-4

a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
17.

Solve using elimination.
3x3y=333x-3y=33
6x3y=576x-3y=57

a)
(8,-3)
b)
(-3,8)
c)
(10,1)
d)
(10,-1)
18.

Solve by elimination.
4x6y=64x-6y=-6
2x12y=12-2x-12y=-12

a)
(0,1) 
b)
(1,0)
c)
(1,1)
d)
(2,1)
19.

Solve the system using elimination.
2x+3y=122x+3y=12
5xy=135x-y=13

a)
x = -3, y = -2
b)
x = 1.5, y = 2
c)
x = 6, y = 0
d)
x = 3, y = 2
20.

Solve using substitution.
y=8x+1y=8x+1
y=6x+3y=6x+3

a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
21.

Solve using substitution.
y=4x10y=4x-10
y=3x5y=3x-5

a)
(7 , -15)
b)
(1, -5)
c)
(5 , 10)
d)
(1, 2)
22.

Solve using substitution.
y=4x+3y=4x+3
2x3y=212x-3y=21

a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
23.

Solve using substitution.
y=x+5y=x+5
4x+y=204x+y=20

a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
24.

Solve using substitution:

y=8y=8

y=4x+4y=-4x+4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

25.

Solve using substitution:

x=6x=6

y=2x3y=2x-3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)