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Worksheets

System of equation

Total questions: 10

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x2 - 4

a)

Yes, because it works in one equation.

b)

Yes, because it works in the both equations.

c)

No, because it works in neither equation.

d)

No, because it works in only one equation.

2.

Given the system of equations:

y = x2 + 3x - 5

-x + y = 3

When x = -4, what is the value of y?

a)

-1

b)

1

c)

7

d)

-33

3.

y3=(x1)2y-3=\left(x-1\right)^2
  2x+y=52x+y=5  
Solve the system by graphing on Desmos.

a)

(-1,7) and (1,3)

b)

(7,-1) and (3,1)

c)

(1,-7) and (-1,3)

d)

(-1,7) and (1,-3) 

4.

What is the value of yy   in the solution set of the given system  ?

a)

12 -\frac{1}{2\ }  

b)

4-4  

c)

33  

d)

77  

5.

What is the solution set of the given system?

a)

(1,-1, 0)

b)

The system has no solution.

c)

(13/4, 1/4, 31/4)

6.

y3=(x1)2y-3=\left(x-1\right)^2
  2x+y=52x+y=5  
Solve the system by graphing on Desmos.

a)

(-1,7) and (1,3)

b)

(7,-1) and (3,1)

c)

(1,-7) and (-1,3)

d)

(-1,7) and (1,-3) 

7.

Determine if the point (-3,-16) is a solution to the following system:

y = 3x - 7

y = x2 + 2x - 9

a)

Yes, because it works in one equation.

b)

Yes, because it works in the both equations.

c)

No, because it works in neither equation.

d)

No, because it works in only one equation.

8.

Which of the following graphs correctly represents:

y=x2

y=-2x+1

a)
b)
c)
d)
9.

Find the solution(s) to the system.

a)

(0,-3)(-1,-2)

b)

(0,-3)

c)

(-2,0)(2,0)

d)

No solution

10.

Which of the following is a solution to the system


5x - 4y - 11 = 0

y = x2 - x - 6

a)

(1, 8)

b)

(0, 4)

c)

(-1, -4)

d)

(2, 0)

e)

No Solution