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WorksheetsSolving Systems and Linear Equations and Inequalities
Total questions: 24
Worksheet time: 6hrs 0mins
Name
Class
Date
1.
Check to see if (-2,1) is a solution to the following system:
x+2y=0
4x+3y=1
x+2y=0
4x+3y=1
a)
yes
b)
no
2.
A system of equations that looks like this has ....
a)
infinite solutions
b)
no solution
c)
one solution
3.
Is (3,-4) a solution to this system?
a)
yes
b)
no
4.
Pick the ordered pair that is NOT a solution
a)
(0,0)
b)
(1,-1)
c)
(2,0)
d)
(4,-4)
5.
Solve the following system of equations:
2x+3y=17
y=4x+1
2x+3y=17
y=4x+1
a)
(-1,-3)
b)
(1,5)
c)
(1,3)
d)
(2,4)
6.
Solve using any method:
2x+3y=10
-2x+y=14
2x+3y=10
-2x+y=14
a)
(6,-4)
b)
(-4,6)
c)
(4,6)
d)
(6,4)
7.
Solve using any method:
3x-7y=10
12x+14y=16
3x-7y=10
12x+14y=16
a)
(2,-.57)
b)
(2,-.75)
c)
(.57,-2)
d)
(.75,-2)
8.
When you come across a solution that reads 3=4, your answer would be.....
a)
no solution
b)
all real numbers
c)
3 pizzas = 4 hungry hungry hippos
d)
one solution
9.
When you come across a solution that reads 4=4, your answer is...
a)
no solution
b)
all real numbers
c)
4
10.
You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?
a)
n+d=17
.05n+.10d=1.35
.05n+.10d=1.35
b)
.05n+.10d=17
n+d=1.35
n+d=1.35
c)
.25n+.10d=1.35
n+d=17
n+d=17
11.
Is (3,2) a solution to
3x-4y=1
x-y=0
3x-4y=1
x-y=0
a)
yes
b)
no
12.
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
13.
Use substitution to 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)
14.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
15.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
16.
Which system of inequality is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y = -x - 1
y ≥ x + 4
y ≥ x + 4
17.
Is (-3, -2) a solution to this system?
a)
Yes
b)
No
18.
Find the solution to the system.
a)
No Solution
b)
Infinitely Many Solutions
c)
(0, 0)
d)
(-8, 16)
19.
Graph the system.
a)
b)
c)
d)
20.
Graph the system.
a)
b)
c)
d)
21.
Check to see if (-2,1) is a solution to the following system:
x+2y=0
4x+3y=1
x+2y=0
4x+3y=1
a)
yes
b)
no
22.
Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?
a)
y=1/6x +25/6
b)
y = 1/6x + 4
c)
y = -6x - 2
d)
y = -6x + 4
23.
Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?
a)
y = 2x + 13
b)
y = 2x + 5
c)
y = -1/2x + 3
d)
y = -1/4x + 11/2
24.
Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).
a)
y = 4x + 6
b)
y = 4x + 14
c)
y = 3x + 12
d)
y = -1/4x + 11/2
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