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Solving Systems of Equations Elimination Easy

Total questions: 30

Worksheet time: 3hrs 1mins

Name
Class
Date
1.

Which variable would be easiest to eliminate?

a)

x

b)

y

c)

Neither

2.

When you solve the system of equations, what is the solution for y?

a)

8

b)

-1

c)

1

d)

-8

3.

When you solve the system of equations, what is the solution for x?

a)

4

b)

-1

c)

-4

d)

1

4.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
5.
Where do these lines intersect?
x-y=11
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
6.
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
7.
Solve using Elimination. 
 4x + 8y =  20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
8.
 Solve using elimination.
 7x + 2y = 24
  8x + 2y = 30
a)
(6,-9)
b)
(-9,6)
c)
No solution
d)
Infinite number of solutions
9.
If two lines are parallel, how many solutions do they have?
a)
1
b)
2
c)
infinite
d)
none
10.

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

2x + 2y = -2

3x - 2y = 12

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

11.

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

4x + 3y = 1

x - 3y = -11

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

12.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
13.

Given the system of equations, what is the value of x + y?

a)

2

b)

8

c)

6

d)

0

14.
The solution to a system of equations is any ordered pair that makes both equations true. 
a)
TRUE
b)
FALSE
15.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 
a)
x + y = 1550
y  = 4x
b)
x + y = 1550
y = x + 4
c)
y - x = 1550
y = 4x
d)
y = 1550 + x
y = x + 4
16.

what does the top equation need to be multiplied by to create a zero pair?


2x - 6y = 20

2x + 5y = -11

a)

-1

b)

1

c)

-2

d)

2

17.
Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4
a)
YES
b)
NO
18.
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.
19.
A system of linear equations is... 
a)
Math Magic
b)
One Equation
c)
Always more than 2 equations
d)
A set of 2 or more equations
20.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
21.
a solution to a system that results in one x value and one y value that will satisfy both equations 
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
22.
a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
23.
-5 = 52
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
24.
x = x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
25.
0 = 0
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
26.
4 = 9
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
27.

What is the first step in solving the following system of linear equations using the elimination method?

x+y=2x+y=2  
2x+7y=92x+7y=9  

a)

Add the x terms in the two equations and the y terms in the two equations so you get 3x + 8y = 11

b)

Multiply all terms in the top equation by 2 so that you  can eliminate the x terms

c)

Multiply the x in the first equation by -2 so you get -2x + y = 2

d)

Multiply all terms in the top equation by -2 so that you can eliminate the x terms. 

28.

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.

29.

What variable do you eliminate?


4x + 8y = 20

−4x + 2y = −30

a)

X because they have opposite signs

b)

Y because they have opposite signs

30.

What variable would be easier to eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

a)

You eliminate x, and multiply the top equation by -2

b)

You eliminate y, and multiply the top equation by 7

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