Free Printable Linear equation & System

Free Printable Worksheets

Worksheets

Linear equation & System

Total questions: 19

Worksheet time: 14mins

Name

Class

Date

1.

Is the ordered pair (2, 0) a solution to the equation 2x + y = 4?

a)

yes

b)

no

c)

not enough information

2.

Is the point (5, -2) a solution to the equation x - y = 7?

a)

yes

b)

no

c)

not enough information

3.

Is the point (-2, 5) a solution to the equation x + y = 7?

a)

yes

b)

no

c)

not enough information

4.

What is the value of y in the function
y = 1/2 x + 10 when x = 24?

a)

22

b)

58

c)

12

d)

29

5.

How many solutions would this system of equations have?

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

6.

How many solutions would this system of equations have?

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

7.

How many solutions would this system of equations have?

6m+18=2m+18

a)

No solution

b)

One Solution

c)

Infinite Solutions

8.

How many solutions would this system of equations have?

2m+6=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

9.

How many solutions would this system of equations have?

-5y-15=5y-10

a)

No Solution

b)

One Solution

c)

Infinite Solutions

10.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

11.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

12.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

13.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

14.

Which equation matches the table?

a)

y = 10x + 5

b)

y = 5x + 10

c)

y = 5x + 20

d)

y = x + 10

15.

Which table corresponds to the equation?

a)

b)

c)

d)

16.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

17.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

18.

When we add the two equations, what is the new equation we've created ?

$3x+2y=7$

$-3x+4y=5$

a)

$6x+6y=12$

b)

$6y=75$

c)

$6y=12$

19.

Now that we have 6y=12, what do you think we do ?

$3x+2y=7$

$-3x+4y=5$

a)

That's it - that's the answer - piece of cake!

b)

Solve the equation $6y=12$ and get y = 2, then substitute back into either equation to find "x"

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