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Worksheets

Algebra 2 Solving Systems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

2.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

3.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

4.

What is the solution to the system of equations?

a)

(2, -2)

b)

(2, 2)

c)

No Solution

d)

(-2, -2)

5.
a)

1

b)

2

c)

3

d)

4

6.
a)

A

b)

B

c)

C

d)

D

7.

Solve the system.

a)

(3, -2, 4)

b)

(2, -3, 1)

c)

(-3, 2, -1)

d)

Infinitely many solutions

8.

What is the solution of the system?

a)

𝑥=1,𝑦=−2,𝑧=−5

b)

𝑥=1,𝑦=2,𝑧=−5

c)

𝑥=−1,𝑦=−2,𝑧=−5

d)

𝑥=1,𝑦=2,𝑧=5

9.

What is the value of  ss   in this system of equations?

10.

Solve the system.

a)

-6

b)

3

c)

2

d)

No Solution

11.

A system of functions is given. Select two values of x, rounded to the nearest tenth, for which f(x)=g(x).

a)

-4.1

b)

0.5

c)

-2

d)

1.6

12.

Solve the depicted system algebraically. Change to y = form.

a)

(0,-7) and (1, 6)

b)

(0,-7) and (1, -6)

c)

(0, 7) and (1, -6)

d)

(-7,0) and (1, -6)

13.

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

a)

Systems by Graphing

b)

Systems by Substitution

c)

Systems by Elimination

d)

Systems by Drawing

14.

a method of solving a system of equations by taking a variable out and replacing it with an expression.

a)

Systems by Graphing

b)

Systems by Substitution

c)

Systems by Elimination

d)

Systems by Drawing

15.

Solve the following system using any method.

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

16.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

17.

2 or more linear equations with the same set of variables

a)

System

b)

System of Equations

c)

Linear Equations

d)

Quadratic Equations

18.

a method to solving a system of equations using the coordinate grid 

a)

Systems by Graphing

b)

Systems by Substitution

c)

Systems by Elimination

d)

Systems by Drawing

19.

x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

20.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)