Mastering Algebra: Equations and Expressions

Front

What is a linear equation?

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Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, 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 graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane, where the x-axis represents the independent variable and the y-axis represents the dependent variable.

Front

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

Back

A system of equations is consistent if it has at least one solution, meaning the lines represented by the equations intersect at one or more points.

Front

What is the elimination method for solving systems of equations?

Back

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

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Front

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

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Front

How do you find the y-intercept of a linear equation?

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What is a dependent system of equations?

Back

A dependent system of equations has infinitely many solutions, meaning the equations represent the same line.

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