Free Printable Solving systems of Equations in Two Variables

1.

Is this system

8x + 4y = 12

2x + y = 3

a)

Consistent and Independent

b)

Consistent and Dependent

c)

Inconsistent

2.

Solve this system algebraically

y = 4x + 1

3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

no solution

3.

Solve the following system algebraically

x + y = 4

-5x - 6y = -18

a)

(6, -2)

b)

(-6, 10)

c)

(2, 2)

d)

(-2, 6)

4.

Solve the following system algebraically

x + 2y = -3

x - y = -12

a)

(9, -5)

b)

(-7, 5)

c)

(3, 15)

d)

(-9, 3)

5.

Solve the following system

-2x + 5y = -1

4x - 2y = - 6

a)

(-1, -2)

b)

(-2, -1)

c)

(2, 7)

d)

(3, -1)

6.

Solve the following system

2x - y = 11

-3y = -6x - 15

a)

(-1.5, -4)

b)

Infinitely many solutions

c)

(1.5, 4)

d)

no solution

7.

Solve the following system algebraically

-10x - 3y = -18

-7x - 8y = 11

a)

(-7, -10)

b)

(-4, 3)

c)

(3, -4)

d)

(2, -7)

8.

Which system below is Consistent and Independent?

a)

y + 4x = -2

y = -4x + 5

b)

6x + 3y = -1

2x + y = 4

c)

y = 4x - 5

x + 4y = 16

d)

3x - y = 2

y - 4 = 3(x - 2)

9.

What is the value of x in the solution to the system of equations below?

6x + 3y = 33

3x - y = 4

a)

1

b)

5

c)

3

d)

none of these

10.

Solve the system by graphing

y = x - 1

2x + y = 8

a)

(-2, -3)

b)

(3, 2)

c)

(2, 3)

d)

(-3, -2)

Solving systems of Equations in Two Variables

Total questions: 10

Worksheet time: 3hrs 30mins

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