Review Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you solve a linear equation with one variable?

Back

To solve a linear equation with one variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, or division) until the variable is alone.

Front

What does it mean for two quantities to be equal in a linear equation?

Back

In a linear equation, two quantities are equal when they represent the same value, meaning that the equation holds true when the values are substituted for the variables.

Front

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

Back

The slope of a linear equation represents the rate of change between the two variables. It indicates how much one variable changes for a unit change in the other variable.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

How can you represent a linear equation graphically?

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A linear equation can be represented graphically as 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 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

What is the process of substitution in solving systems of linear equations?

Back

Substitution involves solving one equation for one variable and then substituting that expression into another equation to find the values of the variables.

Front

What is the elimination method in solving systems of linear equations?

Back

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

Front

What does it mean for a linear equation to have no solution?

Back

A linear equation has no solution when the lines represented by the equations are parallel, meaning they never intersect.