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WorksheetsSolving Systems of Linear Equations 5.1 & 5.2
Total questions: 20
Worksheet time: 3hrs 25mins
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.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
3.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
4.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
5.
Solve the following system by graphing. What is the solution?
a)
(-2, -4)
b)
(2, -4)
c)
(-2, 4)
d)
(2, 4)
6.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
7.
Solve the following system by graphing. What is the solution?
a)
(1, 2)
b)
(-1, 2)
c)
(2, 1)
d)
(2, -1)
8.
Solve the following system by graphing. What is the solution?
a)
(3, -1)
b)
(-1, -3)
c)
(-1, -1)
d)
(-1, 3)
9.
What is the solution of this system of equations?
y = -6x + 5
4x - y = 5
y = -6x + 5
4x - y = 5
a)
(0, -5)
b)
(1, -1)
c)
(0, -1)
d)
(1, 5)
10.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
11.
Solve using Substitution
y = -1x - 5
4x - 8y = 4
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
12.
Solve using Substitution:
6x + 2y = -20
y = -2x - 4
6x + 2y = -20
y = -2x - 4
a)
(-5, -14)
b)
(1, 6)
c)
(-6, 8)
d)
(2, -8)
13.
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
a)
x + y = 6
14.80x + 17y = 91
14.80x + 17y = 91
b)
x + y = 91
14.80x + 17y = 6
14.80x + 17y = 6
c)
x + y = 6
14.80y + 17x = 91
14.80y + 17x = 91
d)
x + y = 91
14.80x+ 17y = 6
14.80x+ 17y = 6
14.
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?
Which system best represents the situation?
a)
4x + 7y = 578
x + y = 3365
x + y = 3365
b)
4x + 7y = 3365
x + y = 578
x + y = 578
c)
4y + 7x = 578
x + y = 3365
x + y = 3365
d)
4y + 7x = 3365
x + y = 578
x + y = 578
15.
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
16.
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
17.
Solve for x and y. Use substitution and show your work on a piece of paper.
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
18.
What is the solution to this system of linear equations?
y = -2x - 6
-2x + y = 6
y = -2x - 6
-2x + y = 6
a)
(0, -3)
b)
(-3, -12)
c)
(-3, 0)
d)
(3, -12)
19.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation? (hint: horses have 4 legs and chickens have 2 legs)
a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
20.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all.
Solve:
x + y = 15
4x + 2y = 44
Solve:
x + y = 15
4x + 2y = 44
a)
(8, 7)
b)
(7,8)
c)
(23,-8)
d)
(7, 22)
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