WorksheetsSolving Systems of Linear Equations
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
a)
4x + 6y = 3
13.5x - 13y = 6
13.5x - 13y = 6
b)
x + y = 4
x - y = 6
x - y = 6
c)
4x + 6y = 13
3x + 7y = 13.5
3x + 7y = 13.5
d)
4x - 6y = 13
3x - 7y = 13.5
3x - 7y = 13.5
2.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
4S + 3A = 530
3.
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
x + y = -2
b)
x = -2
y = 5
y = 5
c)
x + y = -2
x - y = -10
x - y = -10
d)
x + y = -10
x - y = -2
x - y = -2
4.
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)
5.
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)
6.
Solve the system of equations.
x + 2y = -3
x - y = -12
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
7.
What is a solution of a linear system if the lines are the same?
a)
One solution
b)
No solution
c)
Infinitely Many solutions
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.
Intersecting Lines have how many solutions?
a)
One Solution
b)
Infinitely Many Solutions
c)
No Solutions
d)
As many solutions as you want
100 %
