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 does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation -6w + 1 = -11?

Back

w = 2

Front

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

Back

x = 22/3

Front

What is the first step in solving the equation 7 - 2(10x + 1) = 25?

Back

Distribute the -2 to both terms inside the parentheses.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after performing operations.