FALL 2024 Semester Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

Front

How do you represent the price of adult and child tickets in a system of equations?

Back

Let 'a' be the price of an adult ticket and 'c' be the price of a child ticket. The equations can be formed based on the total sales from ticket sales.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the rate of change from a word problem?

Back

Identify the change in the dependent variable over the change in the independent variable. For example, if a man descends 30 feet per minute, the rate of change is -30.

Front

What is the solution to a system of equations?

Back

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

Front

What does it mean to solve a system of equations graphically?

Back

To solve a system of equations graphically means to plot the equations on a graph and find the point(s) where they intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

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

Back

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

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.