WorksheetsSystems of Linear Equations
Total questions: 15
Worksheet time: 28mins
Name
Class
Date
1.
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)
2.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4)
d)
No solution
3.
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.
4.
A system of equations has infinite solutions because...
a)
the equations have the same slopes and different y-intercepts
b)
the equations have the same y-intercepts and slopes.
c)
the equations have different y-intercepts and slopes.
5.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
6.
Solve the following system. What is the solution?
a)
(3, -1)
b)
(-1, -3)
c)
(-1, -1)
d)
(-1, 3)
7.
Solve the following system. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
8.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
9.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
10.
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
x-2y=1
x+4y=7
a)
1
b)
-1
c)
3
d)
4
11.
Solve the system of equations:
2x - y = 0
4x - y = 0
a)
(1,2)
b)
(0,0)
c)
No Solutions
d)
Infinite Solutions
12.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
13.
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
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
14.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
a)
d + n = 6.60
.10d + .05n = 80
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
.05d + .10n = 6.60
15.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?
a)
40 nickels, 40 dimes
b)
52 nickels, 28 dimes
c)
28 nickels, 52 dimes
d)
30 nickels, 50 dimes
100 %
