Unit 2 Test Review

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

What does the solution to a system of equations represent?

Back

The solution represents the point where the two lines intersect, indicating the values of the variables that satisfy both equations.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What is the process to solve the equation 15 = 2a + 7 for a?

Back

Subtract 7 from both sides to get 8 = 2a, then divide by 2 to find a = 4.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, calculated as rise over run.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the change in y divided by the change in x.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).