Review Benchmark

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses 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 can use methods such as substitution, elimination, or graphing to find the point(s) where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

If a system of equations has no solution, it means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

If a system of equations has infinitely many solutions, it means that the equations represent the same line, and every point on that line is a solution.

Front

What is the solution to the system of equations y = 2x + 3 and y = 2x + 5?

Back

No solution, because the lines are parallel.

Front

How do you determine the rate of change from a linear equation?

Back

The rate of change is represented by the slope (m) in the equation y = mx + b. It indicates how much y changes for a unit change in x.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.

Front

What is the significance of the initial value in a linear relationship?

Back

The initial value is the starting point of the relationship, represented by the y-intercept (b) in the equation y = mx + b.