Linear Functions 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

Identify the common difference in the arithmetic sequence: -7, -3, 1, 5.

Back

The common difference is 4.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What does the equation 5c + 8a = 80 represent in a real-world context?

Back

It represents the total cost of tickets for children (c) and adults (a) to see a movie, where tickets cost $5 for children and $8 for adults.

Front

If no adults see the movie, how many children can see the movie with $80?

Back

16 children can see the movie.

Front

Where does the graph of y = -3x - 18 intersect the x-axis?

Back

The graph intersects the x-axis at (-6, 0).

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line through the points (-3, 2) and (6, 2).

Back

The slope is 0, indicating a horizontal line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a slope of 1 indicate about a line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.