Test Review

systems of linear equations

100

What is the solution to this set of linear equations?

2x + 3y = 11
x - y = 2

(3.4, 1.4)

200

 Find the solution to the system of equations:
[3x + 4y = 8]
[2x - y = 5]

(2.54, .09)

300

A system of equations has no solution when…?

The lines are parallel. 

400

A system has one solution when...?

The lines intersect.

500

When there are 2 equations for the same line, the answer is...?

Infinitely many solutions

systems of linear inequalities

100

If a point is on a line of an inequality, is it a solution?

If a solid line: yes

If a dashed line: no

200

A solid line is used when...?

less than or equal to OR greater than or equal to

300

Determine if the point (2, 2) is a solution to the system of inequalities:
[x + y < 4] [2x - y >= 0]

No

400

 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

500

What is a/the solution to this set of inequalities?

y >-2x +1

y - 1 > -2x

infinitely many solutions

Inverse functions

100

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

200

Find the inverse of the function

f(x)=2x+3

1/2x+3/2

300

Find the inverse of the function

f(x)=-x+(5/7)

-x+(5/7)

400

Find the inverse of the function (answer in the most simplified form)

f(x)=1/2x+4

2x-8

500

Find the inverse of the function (answer in the most simplified form)

f(x)=3/4x+4/3

4/3x-16/9

solutions to systems of linear equations

100

Solve the following system of equations: 

[3x - y = 2]
[2x + y = 1]

(.6, -0.2)

200

What is the solution to the system of equations?

x = 5

y = -3

(5, -3)

300

What is the solution to a system of linear equations when both lines have the same slope?

no solution

400

How can you verify the solution obtained from graphing a system of linear equations?

Answers vary: Plug in the x and the y values. Both equations should be made "true."

500

What are the equations for this system of linear equations?

(Capture 7)

y = 4x + 2

y= -2x+3

review

100

In the sequence 2, 4, 6, 8, what is the common difference?

d = 2

200

Given the sequence 3, 6, 12, 24, what is the next term?

48

300

 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

400

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)}}

500

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