Semester 1 Final Exam Review Topic 3 and Topic 4 -Part 2

Front

Is the relation a function? (1,3), (3,7), (5,11), (7,15), (9,19)

Back

Yes, this relation is a function because each input (x-value) is associated with exactly one output (y-value).

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

The common difference (d) is 5, calculated as -29 - (-34) = 5.

Front

Is the relation a function? (1,3), (1,7), (5,11), (7,15), (9,19)

Back

No, this relation is not a function because the input 1 is associated with two different outputs (3 and 7).

Front

Calculate the linear regression equation of the data: y = mx + b

Back

The linear regression equation is y = 1.5x + 12.

Front

Using the elimination method, solve the system of equations: 3x - 2y = 5 and 2x + 4y = 14. What is the value of y?

Back

The value of y is 2.

Front

Definition of a function

Back

A function is a relation that assigns exactly one output for each input.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get to the next term.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

How to find the slope (m) in a linear equation?

Back

The slope (m) is calculated as the change in y divided by the change in x (rise/run).

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.