Free Printable Systems of Equations - The Elimination Method

1.

Solve for x using Elimination:

x\ +\ y\ =\ 10

x\ -\ y\ =\ 20

a)

x = 30

b)

x = 15

c)

x = -5

d)

x = 5

2.

When using the elimination method, the terms have to be lined up vertically.

True or False?

a)

True

b)

False

3.

Solve using elimination:

x\ +\ y\ =\ 7

x\ -\ y\ =\ 3

Type your answer as an ordered pair
(x, y)

(a)

4.

Solve for y using Elimination:
$-x\ +\ y\ =\ 12$
$\ \ \ x\ +\ y\ =\ 4$

a)

y = 8

b)

y = 16

c)

y = -8

d)

y = 0

5.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

6.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

7.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

8.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

9.

There are 10 lit candles on a cake, you blow out 3. How many candles are on the cake?

a)

10

b)

7

c)

3

d)

13

10.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

11.

What is the correct first step to solve by elimination?

a)

Add to eliminate x

b)

Subtract to eliminate x

c)

Add to eliminate y

d)

Subtract to eliminate y

12.

Determine how many solutions the system has.

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

d)

Mikey is my friend.

13.

Determine how many solutions the system has.
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

I am Spartacus!

14.

Find the age

a)

9

b)

12

c)

14

d)

16

15.

Determine how many solutions this system has.

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

What is a solution?

16.

Which of the following is NOT a method to solve systems?

a)

Elimination

b)

Distribution

c)

Substitution

d)

Graphing

17.

What would be the first step in finding the solution using elimination?

$3x-2y=12$
$\ 2x+2y=-2$

a)

you cannot solve this using eliminiation

b)

cross out the 2x and 3x

c)

cross out the -2y and 2y

d)

change to slope intercept form and graph

18.

What would be the first step in finding the solution with elimination?

$5x+3y=17$
$-2x-3y=12$

a)

cross out the 3y and -3y

b)

cross out the 4x and x

c)

change all the signs of the second equation

d)

add 1 and -11

19.

Before Mount. Everest was discovered, which was the highest mountain in the world?

a)

Mount. Fujiyama

b)

Mount Kilimanjaro

c)

Mount Everest

d)

Andes Mountains

20.

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

a)

solution of a system

b)

elimination method

c)

system of equations

d)

table

21.

If two lines are parallel, how many solutions do they have?

a)

1

b)

2

c)

infinite

d)

none

22.

There are 5 apples and you take 3. How many apples do you have?

a)

5

b)

3

c)

2

d)

0

23.

Is the point (-3, -7) a solution to the system of equations below?

y = 4x + 5

y = x – 4

a)

YES

b)

NO

24.

What is the first step in solving a system of equations by elimination?

a)

Get both equations in standard form and line up the like terms.

b)

Get both equations in slope-intercept form.

c)

Get both equations equal to zero.

d)

Put the x terms first.

25.

What is the car's parking spot number?

a)

89

b)

86

c)

87

d)

69

26.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

27.

Beth's mother has three daughters. One is called Laura, and one is called Sarah. What's the name of the third daughter?

a)

Sarah

b)

No one knows

c)

Gwen

d)

Beth

28.

The first step in solving using the substitution method is __________.

a)

get x by itself

b)

get y by itself

c)

get either variable by itself

d)

add the equations together

29.

Which is the best method to use?

y=6x−11

−2x−3y=−7

a)

Graphing

b)

Substitution because a variable is isolated.

c)

Elimination because both equations are in standard form.

30.

When you have me, you immediately feel like sharing me. But, if you do share me, you do not have me.

a)

FACEBOOK ID

b)

TWITTER

c)

SECRET

d)

INSTAGRAM

31.

Describe the error in solving the system of equations using elimination:

a)

They eliminated the x terms when they should have eliminated the y terms.

b)

The subtracted 5x and x to get 4x, but they should have added the x terms to get 6x = 24.

c)

They added 16 and 8 to get 24, but they should have subtracted them to get 8 on the right side of the equation.

d)

They eliminated the y terms, but they couldn't because one is a negative and one is a positive.

32.

Which of the following is not a method to solve systems?

a)

Elimination

b)

Difference of Squares

c)

Substitution

d)

Graphing

33.

What is the best method do you use?

$\ \ 2x+5y=-21$
$−2x−3y=−7$

a)

Graphing

b)

Substitution because a variable is defined

c)

Elimination because both equations are in standard form.

34.

Which method would be best (quickest) for solving the system below:

x+2y=11

x=-3y-2

a)

Substitution

b)

Elimination

c)

Graphing

d)

None of these

35.

In the elimination method you either add or subtract the equations to get an equation in one variable.

a)

True

b)

False

36.

The elimination method works best when

a)

the equations are funny looking

b)

the equations are written in standard form

c)

the equations have isolated variables

d)

The equations make math

37.

I'm full of keys, but I can't open any doors. What am I?

a)

A notebook

b)

A piano

c)

A book

d)

A box

38.

If you add these equations together which variable is going to be eliminated?

a)

x

b)

y

c)

4

39.

After you eliminate the x variables, you can solve for y.

Do it! What do you get?

a)

$y=6$

b)

$y\ =\ 1.2$

c)

$y=-4$

d)

$y=-6$

40.

Guess it!

a)

My shadow

b)

Eye Shadow

c)

Behind me

d)

Double Eye

41.

Solve for y using the elimination method.

a)

y = 0

b)

y = 2

c)

y = 16

42.

What is the best first step to solve this system by elimination?

a)

Add the equations to eliminate y

b)

Subtract the equations to eliminate y

c)

Multiply the second equation by 3.

d)

Multiply the first equation by 2

43.

What is the best first step to solve this system by elimination?

a)

Add the equations to eliminate y

b)

Multiply the first equation by 2

c)

Multiply the second equation by 3

d)

Add the equations to eliminate x

44.

Which phrase is correct?

a)

sideways

b)

ways down

c)

up ways

d)

ways up

45.

You are driving a bus. At the first stop, two women get on. The second stop, three men get on and one woman gets off. At the third stop, three kids and their mom get on, and a man gets off. The bus is grey, and it is raining outside. What color is the bus driver’s hair?

a)

RED

b)

BLONDE

c)

NO IDEA

d)

SAME AS MINE

46.

The sum of two numbers is 22. The difference of two numbers is 6.

Which system can be used to solve this problem?

a)

$x+y=22$
$x+y=6$

b)

$x-y=22$
$x-y=6$

c)

$x+y=22$
$x-y=6$

d)

$2x-y=28$
$x+2y=28$

47.

Which is the best method for solving this system of equations?
$-4x-2y=-12$

\ \ 4x+8y=-24

a)

Substitution

b)

Elimination

48.

Which phrase is correct?

a)

sandbox

b)

large sand

c)

sand inside

d)

sandy beach

49.

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

a)

Substitution

b)

Elimination

50.

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

8x + 4y = 12

y = -2x + 3

a)

Substitution

b)

Elimination

51.

What is NOT true about solving a system of equations with elimination?

a)

You should line up the two equations vertically

b)

The goal is to eliminate one of the variables

c)

You must decide whether to add or subtract both equations

d)

You must substitute one variable for another

52.

Which phrase is correct?

a)

reading between the lines

b)

reading standing up

c)

split up reading

d)

read in parts

53.

Which of these is not a method for solving a system of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

Exhaustion

54.

Alison is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

a)

x - y = -10

x + y = -2

b)

x = -2

y = 5

c)

x + y = -2

x - y = -10

d)

x + y = -10

x - y = -2

55.

What is the best first step to solve the system of equations using elimination.

$-7x+4y=-9$

-7x-4y=23

a)

Add to eliminate x

b)

Add to eliminate y

c)

Isolate a variable

d)

Get out some graph paper

56.

Guess the word!

a)

Coco

b)

Coconut

c)

Coca Cola

d)

Double CO

57.

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

a)

Solving systems by graphing

b)

Solving systems by substitution

c)

Solving systems by elimination

d)

Solving systems by drawing

58.

A method to solving a system of equations using the coordinate grid is called:

a)

solving systems by graphing

b)

solving systems by substitution

c)

solving systems by elimination

d)

solving systems by drawing

59.

Guess the food.

a)

ice cream

b)

jelly

c)

cake

d)

frozen yogurt

60.

A method of solving a system of equations by taking a variable out and replacing it with an expression is called:

a)

solving systems by graphing

b)

solving systems by substitution

c)

solving systems by elimination

d)

solving systems by drawing

61.

When solving systems of equations using the Elimination Method, which of the following statements is not correct?

a)

Both equations must be in Standard Form.

b)

Like terms must be lined up.

c)

To eliminate a variable, the coefficients must be positive and negative opposites of each other.

d)

Like terms do not have to be lined up.

62.

Which method do you prefer in solving Systems of Linear Equations?

a)

Graphing Method

b)

Substitution Method

c)

Elimination Method

63.

Jade solved a system of equations by elimination and ended up with this:

0 = 11

what should she write as her answer?

a)

(0, 11)

b)

No solution

c)

Infinite Solutions

d)

(11,0)

64.

What would be the first step in finding the solution with elimination?

$5x+3y=17$
$-2x-3y=12$

a)

cross out the 3y and -3y

b)

cross out the 4x and x

c)

change all the signs of the second equation

d)

add 1 and -11

Systems of Equations - The Elimination Method

Total questions: 64

Worksheet time: 1hrs 24mins

Similar Resources on Wayground