systems of linear equations
What is the solution to this set of linear equations?
2x + 3y = 11
x - y = 2
(3.4, 1.4)
If a point is on a line of an inequality, is it a solution?
If a solid line: yes
If a dashed line: no
Find the inverse of the relation. Determine whether the inverse is a function.
{(10,3), (4,4), (6,2), (4,5)}
{(3,10), (4,4), (2,6), (5,4)}; Yes it is a function
Solve the following system of equations:
[3x - y = 2]
[2x + y = 1]
(.6, -0.2)
In the sequence 2, 4, 6, 8, what is the common difference?
d = 2
Find the solution to the system of equations:
[3x + 4y = 8]
[2x - y = 5]
(2.54, .09)
A solid line is used when...?
less than or equal to OR greater than or equal to
Find the inverse of the function
f(x)=2x+3
1/2x+3/2
What is the solution to the system of equations?
x = 5
y = -3
(5, -3)
Given the sequence 3, 6, 12, 24, what is the next term?
48
A system of equations has no solution when…?
The lines are parallel.
Determine if the point (2, 2) is a solution to the system of inequalities:
[x + y < 4] [2x - y >= 0]
No
Find the inverse of the function
f(x)=-x+(5/7)
-x+(5/7)
What is the solution to a system of linear equations when both lines have the same slope?
no solution
In a relation, if each input is paired with exactly one output, it is called:
a. A function
b. A linear relation
c. An inverse function
d. A non-linear relation
a. a function
A system has one solution when...?
The lines intersect.
How could you determine if a point is a solution without graphing?
Answers vary: the x and y of the point should satisfy both equations and make them true
Find the inverse of the function (answer in the most simplified form)
f(x)=1/2x+4
2x-8
How can you verify the solution obtained from graphing a system of linear equations?
Which of the relations below is NOT a function?
a. {(1, 3), (2, 5), (3, 3)}
b. {(2, 4), (5, 7), (2, 6)}
c. {(1, 2), (2, 1), (3, 5)}
d. {(4, 7), (7, 5), (2, 9)}
b. {(2, 4), (5, 7), (2, 6)}
When there are 2 equations for the same line, the answer is...?
Infinitely many solutions
What is a/the solution to this set of inequalities?
y >-2x +1
y - 1 > -2x
infinitely many solutions
Find the inverse of the function (answer in the most simplified form)
f(x)=3/4x+4/3
4/3x-16/9
What are the equations for this system of linear equations?
(Capture 7)
y = 4x + 2
y= -2x+3
What is the first term in an arithmetic sequence if the common difference is 5 and the 5th term is 23?
a. 5
b. 8
c. 10
d. 3
d - 3