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

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 -20 = 5(x + 2)?

Back

x = -6

Front

What is the value of k if k = 3?

Back

k = 3

Front

What is the least common multiple (LCM) of 5 and 7?

Back

The LCM of 5 and 7 is 35.

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

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the definition of a coefficient in a linear equation?

Back

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

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

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.