2023 Most Missed TX TEKS 2A2H2I (Q7-12-37)

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 graphs of the equations intersect.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What does it mean for two lines to be perpendicular in a system of equations?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution of a system of equations can be determined graphically by finding the point(s) where the graphs of the equations intersect.

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 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 can you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

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 = 0.

Front

What does it mean for a system of equations to be inconsistent?

Back

A system of equations is inconsistent if there is no solution, meaning the lines represented by the equations are parallel.

Front

What does it mean for a system of equations to be dependent?

Back

A system of equations is dependent if there are infinitely many solutions, meaning the equations represent the same line.