Algebra 1 Mixed problems

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How do you determine if a mapping represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

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

Find the 32nd term of the arithmetic sequence: 34, 37, 40, 43, ...

Back

The 32nd term is 127.

Front

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

Back

nth term = first term + (n-1) * common difference.

Front

If Nate makes $120 a week, how many weeks does he need to save $899?

Back

Nate needs to save for 8 weeks.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function.

Front

What is the common difference in the sequence: 34, 37, 40, 43?

Back

The common difference is 3.

Front

How do you classify a sequence as arithmetic or geometric?

Back

An arithmetic sequence has a constant difference, while a geometric sequence has a constant ratio between consecutive terms.