Algebra 1 Semester 1 Extra Review

Front

What is the explicit formula for an arithmetic sequence?

Back

a_n = a_1 + (n-1)(d), where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.

Front

If Erin is 3 years younger than twice Alex's age and their ages combined are 33, what are the equations representing their ages?

Back

x + y = 33 and y = 2x - 3, where x is Erin's age and y is Alex's age.

Front

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ...

Back

a_n = 6n - 4.

Front

What is the slope of a horizontal line?

Back

0.

Front

Write the system of equations for the ticket sales problem: 3 senior citizen tickets and 1 child ticket for $38, and 3 senior citizen tickets and 2 child tickets for $52.

Back

3S + C = 38 and 3S + 2C = 52.

Front

What does 'd' represent in the explicit formula of an arithmetic sequence?

Back

The common difference between consecutive terms.

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula a_n = a_1 + (n-1)(d).

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two variables to be dependent?

Back

One variable can be expressed as a function of the other.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.