Algebra 2 unit 1 review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

If the first term of an arithmetic sequence is 2 and the common difference is 4, what is the 5th term?

Back

The 5th term is 18.

Front

How do you express the interval -8 ≤ x < 8 in interval notation?

Back

The interval notation is [-8, 8).

Front

What is the solution to the system of equations: 4x + 2y - 6z = 34 and 2x + y + 3z = 3?

Back

The system has infinitely many solutions.

Front

What type of function is represented by the equation y = mx + b?

Back

This is a linear function.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and do not intersect.

Front

What is the formula for finding the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the arithmetic sequence 2, 6, 10, 14?

Back

The common difference is 4.

Front

What is the graphical representation of a linear function?

Back

A linear function is represented by a straight line on a graph.