WorksheetsSystems by Graphing & Substitution
Total questions: 17
Worksheet time: 52mins
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.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
3.
Solve the following system by graphing. What is the solution?
a)
(-2, -4)
b)
(2, -4)
c)
(-2, 4)
d)
(2, 4)
4.
Solve the following system by graphing. What is the solution?
a)
(1, 2)
b)
(-1, 2)
c)
(2, 1)
d)
(2, -1)
5.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
same lines
6.
If the solution is infinitely many the lines will ________?
a)
intersect at exactly one point
b)
be parallel
c)
overlap each other
d)
never exist
7.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
8.
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
9.
Solve:
y = 7x + 9
2y + 2x = -18
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
10.
What is the solution to this system?
x= 7 - 2y
2x + y = 5
x= 7 - 2y
2x + y = 5
a)
(-1,4)
b)
(4,-1)
c)
(1,3)
d)
(3,1)
11.
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)
12.
Solve using substitution.
x - 2y = 2
3x + 4y = 3
x - 2y = 2
3x + 4y = 3
a)
(1.4, -0.3)
b)
(3.1, 5)
c)
(-2.5, 3.5)
d)
(6.9, 1.02)
13.
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
14.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
15.
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
16.
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
17.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
a)
y = 6.80 + .65x
y=7.30+.90x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
y + .65x = 7.30
100 %
