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WorksheetsSystem of Inequalities & Number of Solutions in Systems
Total questions: 10
Worksheet time: 14mins
Name
Class
Date
1.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
2.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
3.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
4.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
5.
Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.
a)
10x+15y≤480
45x+25y≥250
45x+25y≥250
b)
10x+25y≤200
15x+45y≤480
15x+45y≤480
c)
10x+25y>200
15x+45y<480
15x+45y<480
d)
10x+25y≥200
15x+45y≤480
15x+45y≤480
6.
An inequality using a ≤ or a ≥ has a ___________ line
a)
invisible
b)
solid
c)
dashed
7.
How many solutions does this system have? (Hint: Rewrite into slope-intercept form)
-12x-10y= 0
6x+5y= -1
-12x-10y= 0
6x+5y= -1
a)
infinite solutions
b)
one solution
c)
no solution
d)
(2,1)
8.
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
9.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
10.
Which of the following is not a method to solve systems?
a)
Elimination
b)
Difference of Squares
c)
Substitution
d)
Graphing
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