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WorksheetsSystems of Linear Equations
Total questions: 23
Worksheet time: 2hrs 55mins
Name
Class
Date
1.
Which is NOT an option with a system of equations?
a)
No solutions
b)
Infinitely many solutions
c)
1 solution
d)
2 solutions
2.
If 2 lines have the same slope and different Y- intercepts what type of solutions would they yield?
a)
Infinitely many solutions
b)
No solutions
c)
1 solution
d)
They cross however many times the slope says
3.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
4.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
5.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
6.
Solve the system of equations by graphing.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
7.
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
8.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
9.
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
−4x − 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
(−6, 10)
d)
(6, 4)
10.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
11.
Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
12.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
13.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
14.
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.
15.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
16.
The solution to the system is
a)
(-2, -8)
b)
(-8, -2)
c)
(2, -8)
d)
No solution
17.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
18.
In the following equation, what is the y-intercept?
y = -3x + 7
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
19.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
20.
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
21.
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
22.
How many equations must there be for it to be considered a "system"?
a)
At least 1
b)
2
c)
2 or more
d)
It's like the planets so at least 9 (yes Pluto is a planet)
23.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
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