Unit 5 Part 2 Review

Front

What is a system of equations with no solution?

Back

A system of equations with no solution occurs when the graphs of the equations are parallel lines, meaning they never intersect.

Front

How do you find the y-value of the solution to a system of equations?

Back

To find the y-value, solve the system of equations simultaneously, either by substitution or elimination.

Front

What does it mean for an equation to be true for a specific value of a variable?

Back

It means that when you substitute that value into the equation, both sides of the equation are equal.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation shows the lines of the equations on a coordinate plane, where the intersection point(s) represent the solution(s).

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

How can you determine if two equations represent the same line?

Back

If one equation can be transformed into the other by multiplying or dividing by a constant, they represent the same line.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes; a positive slope rises, while a negative slope falls.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.