Algebra 1 EOC Review

Front

What are the x-intercepts of a function?

Back

The x-intercepts are the points where the graph of a function crosses the x-axis, meaning the value of y is 0. For example, if a function has x-intercepts at x=0 and x=4, it means the graph touches the x-axis at these points.

Front

How do you determine the mode of a set of data?

Back

The mode is the value that appears most frequently in a data set. For example, in the data set {560, 580, 590, 590, 640}, the mode is 590 because it appears twice, more than any other number.

Front

What does it mean for two runners to be closest in time based on a graph?

Back

It means that the difference in their finishing times is the smallest compared to other pairs of runners. For example, if the second-place runner finished at 10 seconds and the third-place runner at 10.5 seconds, they are closest in time.

Front

What is an ordered pair in the context of equations?

Back

An ordered pair (x, y) is a pair of numbers that represent a point on a graph, where x is the value on the x-axis and y is the value on the y-axis. For example, (4, 1) means x=4 and y=1.

Front

What is a reasonable conclusion based on survey data?

Back

A reasonable conclusion is a statement that can be logically inferred from the data collected. For example, if a survey shows that more than half of the band members are girls, it is reasonable to conclude that there are more girls in the band class.

Front

What is the significance of the y-axis in a graph?

Back

The y-axis represents the vertical line on a graph, typically used to display the dependent variable. For example, in a graph showing distance over time, distance would be plotted on the y-axis.

Front

How do you find the solution to a system of equations?

Back

To find the solution to a system of equations, you look for the ordered pair (x, y) that satisfies both equations simultaneously. This can be done using methods like substitution or elimination.

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a data set, median is the middle value when the data is ordered, and mode is the most frequently occurring value.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a graph's slope?

Back

The slope of a graph represents the rate of change between the x and y values. It is calculated as the rise over run, or the change in y divided by the change in x.