Algebra 1 First Semester Exam Review

Front

What is an ordered pair in the context of graphing equations?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

How do you determine if a point lies on the graph of an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.

Front

What is a scatter plot and what does it represent?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a Cartesian plane.

Front

What does it mean for a system of equations to have a solution?

Back

A solution to a system of equations is a set of values that satisfy all equations in the system simultaneously.

Front

What is the solution to the inequality s - 10 ≤ 1?

Back

The solution is s ≤ 11.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation and plot them on a coordinate plane, then draw a line through the points.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.