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Worksheetssystems of equations
Total questions: 20
Worksheet time: 2hrs 58mins
Name
Class
Date
1.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
2.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
3.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
4.
What is the solution of the two linear equations shown?
a)
(2,2)
b)
(0,0)
c)
(1,2)
d)
None of these
5.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
6.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
7.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
8.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
9.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
10.
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
11.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
12.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
13.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
14.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
15.
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)
16.
Is (1,10) a solution to
y=7x+5
y=x+9
a)
yes
b)
no
17.
Is (1,7) a solution for
y=3x+4
y=x+6
a)
yes
b)
no
18.
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.
19.
Solve:
y=8x+1
y=6x+3
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
20.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
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