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WorksheetsAlgebra-System of Linear Inequalities
Total questions: 36
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
2.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
3.
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
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.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
6.
What is a solution of a linear system?
a)
the slope of the line
b)
the y-intercept
c)
the point where the systems intersect
d)
the rise over tun
7.
What is the solution of a linear system that has parallel lines?
a)
One solution
b)
No solution
c)
Infinitely Many solutions
8.
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. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.
a)
a + c = 21
6a + 4c = 104
6a + 4c = 104
b)
a + c = 104
6a + 4c = 21
6a + 4c = 21
c)
a + c = 21
6c + 4a = 104
6c + 4a = 104
d)
a + c = 104
6c + 4a = 21
6c + 4a = 21
9.
Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.
a)
6d + 550m = 337
3d + 350m = 185
3d + 350m = 185
b)
6d + 550m = 185
3d + 350m = 337
3d + 350m = 337
c)
6m + 550d = 337
3m + 350d = 185
3m + 350d = 185
d)
6m + 550d = 185
3m + 350d = 337
3m + 350d = 337
10.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
11.
Identify the y-intercept for the function:
y=-3x
y=-3x
a)
-3
b)
0
c)
1
d)
-1
12.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
13.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
14.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
15.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
16.
Which of the following inequalities matches the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
17.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
18.
Solve
y - 4 > 12
y - 4 > 12
a)
y > 16
b)
y < 16
c)
y > 8
d)
y < 8
19.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
20.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
21.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
22.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
23.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
24.
Rewrite this inequality in "y=" form to graph.
3x - 6y > 12
3x - 6y > 12
a)
y > 1/2x - 2
b)
y < -1/2x + 2
c)
y < 1/2x - 2
d)
y > -3x - 2
25.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
26.
Rewrite this inequality in "y=" form to graph.
-4x + 1/3y ≤ 5
-4x + 1/3y ≤ 5
a)
y ≤ 4/3x + 5/3
b)
y ≥ 12x + 5
c)
y ≥ 12x -15
d)
y ≤ 12x + 15
27.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
28.
There are less than 180 days left of school.
a)
>
b)
>
c)
<
d)
<
29.
Tyler has no more than $20 in his bank account.
a)
>
b)
<
c)
>
d)
<
30.
Haley hopes to make higher than a 90 in Math this quarter.
a)
>
b)
>
c)
<
d)
<
31.
CMS can have up to 15 players on the baseball team before it is full.
a)
<
b)
<
c)
>
d)
>
32.
You must be at least 16 years old to drive a car.
a)
>
b)
<
c)
<
d)
>
33.
The maximum capacity for the Movie Theatre is 455 people.
a)
<
b)
>
c)
<
d)
>
34.
The Autobahn allows a speed limit of 81mph in most parts.
a)
>
b)
<
c)
>
d)
<
35.
The standard form of the linear equation is Ax+By = C. How can you find the slope of the line without rewriting the equation into slope-intercept form?
a)
m=−AC
b)
m=BC
c)
m=BA
d)
m=−BA
36.
The standard form of the linear equation is Ax+By = C. How can you find the y-intercept of the line without rewriting the equation into slope-intercept form?
a)
−AC
b)
BC
c)
BA
d)
−BA
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