Solving Linear Equations and Expressions

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 = 0, where a and b are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the value of b in the equation 9 = b - 15?

Back

b = 24.

Front

What does it mean if two linear equations are parallel?

Back

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

Front

What is the definition of a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the purpose of combining like terms in an expression?

Back

Combining like terms simplifies the expression, making it easier to solve or evaluate.

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.