Free Printable System of Linear Equations Quiz

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System of Linear Equations Quiz

Total questions: 23

Worksheet time: 45mins

Name

Class

Date

A ________________ is a set of two or more equations that have the same variables.

solution of a system

elimination method

system of equations

table

What does it mean to substitute?

to remember

to replace or to plug in

to get rid of or to take away

to connect the dots

What does it mean to eliminate?

to remember

to replace or to plug in

to get rid of or to take away

to connect the dots

For equations below, which method is easier to use? Why?

Graphing, because both are already in y = mx + b form.

Substitution, because one equation is already solved for y.

Elimination, because both are already in ax + by = c form.

None.

For equations below, which method is easier to use? Why?

Graphing, because both are already in y = mx + b form.

Substitution, because one equation is already solved for y.

Elimination, because both are already in ax + by = c form.

None.

For equations below, which method is easier to use? Why?

Graphing, because both are already in y = mx + b form.

Substitution, because one equation is already solved for y.

Elimination, because both are already in ax + by = c form.

None.

Should you use the Substitution or Elimination method to solve this system of equations?

Substitution

Elimination

Should you use the Substitution or Elimination method to solve this system of equations?

Substitution

Elimination

Which is the most efficient method for solving the following system?
$x=-5y+2\ \ \ \$
$x=3y-2$

Substitution

Elimination

10.

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

Substitution

Elimination

11.

Which is the best method for solving this system of equations?

8x + 4y = 12

y = -2x + 3

Substitution

Elimination

12.

Which is the best method for solving this system of equations?

x-y=11

2x+y=19

Elimination

Substitution

13.

Which is the most efficient method for solving the following system?
$3x+y=1$
$4x+y=2$

Substitution

Elimination

14.

Which is the best method for solving this system of equations?

2x - y = 4

y = -2x + 8

Substitution

Elimination

15.

Which is the best method to use to solve the following system:

y = 6x − 11

−2x − 3y = −7

Graphing

Substitution because a variable is isolated.

Elimination because both equations are in standard form.

16.

Which is the most efficient method for solving the following system?

x=4-2y

3x-2y=4

Substitution

Elimination

17.

Which is the most efficient method for solving the system?

y=\frac{1}{2}x+4

y=-2x+9

Subsitution

Elimination

18.

If you are solving this system by eliminating the y variable, how many times should you multiply:

–2x + y = 10

4x – y = –14

19.

What is the x-coordinate of the solution to this system:

3x + y = –14

–2x – y = 9

-5

-1

20.

Using elimination, without multiplication, which variable would be easiest to solve for first?

x + 3y = 18

–x –4y = –25

21.

When solving by elimination, what can you multiply the second equation by to eliminate they y variable?S

−7x + 6y = 29

10x + y = 16

-6

-3

-2

22.

Solve the system using substitution.

x = – 7y - 9

–x + 9y = –23

(3, -4)

(3,4)

(-2,5)

(5,-2)

23.

Solve by elimination
-12x-4y= -8
-6x-2y= -4

no solution

(0,0)

infinite solutions

(4,0)

100 %

System of Linear Equations Quiz

Total questions: 23

Worksheet time: 45mins

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