Solving 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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation x + 7 = 28?

Back

x = 21

Front

What is the solution to the equation 3x + 6 = 21?

Back

x = 5

Front

What is the solution to the equation -20 = -4x - 6x?

Back

x = 2

Front

What is the solution to the equation 10 = 3x - 12?

Back

x = 22/3

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

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

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with x.

Front

What is the definition of a coefficient in an equation?

Back

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