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WorksheetsSolving Linear Systems by Elimination and Substitution
Total questions: 28
Worksheet time: 1hrs 15mins
Name
Class
Date
1.
Solve the System of Equations by Substitution: 4x + 6y = 16 and x = -2
a)
(-2, 1)
b)
(-2, 4)
c)
(-2, 2)
2.
Solve for x and y
5x + 3y = 7
y = 4
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
3.
Solve the system by substitution.
-2x - 2y = 16
y = -8
-2x - 2y = 16
y = -8
a)
(0, -8)
b)
(-8, 0)
c)
(-16, -8)
d)
(-16, -8)
4.
Solve the system of equations:
y=2x
x + y = 9
y=2x
x + y = 9
a)
(6, 3)
b)
(3, 6)
c)
(-3, -6)
d)
no solution
5.
Substitution
a)
(3,4)
b)
(4,3)
c)
(-3,-4)
d)
(-4,-3)
6.
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
7.
Method of solving a system in which two equations are added together in a manner that will eliminate one of the two variables.
a)
Substitution method
b)
Elimination Method
c)
Independent
d)
Dependent
8.
Two lines cross at a point called an..
a)
Roads
b)
Intersection
c)
Solution
d)
Independent
9.
An equation that when graphed will form a line.
a)
Linear equation
b)
Quadratic equation
c)
Regression line
d)
Exponential equation
10.
Two lines that are co-planar and never intersect are called...
a)
perpendicular
b)
dependent
c)
independent
d)
parallel
11.
a method to solving a system of equations using the coordinate grid
a)
Systems by Graphing
b)
Systems by Substitution
c)
Systems by Elimination
d)
Systems by Drawing
12.
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
13.
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
14.
a solution to a system of equations that results in no x or y value that will satisfy both equations
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
15.
When solving a system of equation problem, you end up with the following: 0 = 0. What kind of solution would that be?
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
16.
The domain is the set of all ______________
a)
y-values
b)
x-values
c)
ordered pairs
d)
Barbie Dolls
17.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
18.
The domain of the function below is
{ (18, 5) (6, 9) (-14, 1)}
{ (18, 5) (6, 9) (-14, 1)}
a)
{1, 5, 9}
b)
{-14, 6, 18}
c)
{-14, 1, 5, 6, 9, 18}
d)
{-14, 6, 8}
19.
The ___________ is the set of all y-values
a)
domain
b)
range
c)
independent variable
d)
dependent variable
20.
A(n) ___________ is a set of of ordered pairs.
a)
Relation
b)
Function
c)
Input
d)
Output
21.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
22.
-6x+5y=1
6x+4y=-10
6x+4y=-10
a)
(1,-1)
b)
(0,-1)
c)
(1,1)
d)
(-1,-1)
23.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
24.
What is the solution?
(Hint: Both lines are graphed over each other)
(Hint: Both lines are graphed over each other)
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
25.
Solve by elimination:
7x+y=-9
-3x-y=5
a)
No solution
b)
(1,8)
c)
(-1,-3)
d)
(-1,-2)
26.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
27.
Solve by elimination
-6x + 5y = 1
6x + 4y = -10
a)
(-1,7/5)
b)
(0,-1)
c)
(1,1)
d)
(-1,-1)
28.
Solve by elimination:
-9x - 4y = -20
5x + 4y = 4
-9x - 4y = -20
5x + 4y = 4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
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