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 of the equation 2x = 10?

Back

x = 5

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 of the equation x + 12 = 20?

Back

x = 8

Front

What is the process to solve the equation 3(x - 2) = 9?

Back

First, distribute 3: 3x - 6 = 9. Then, add 6 to both sides: 3x = 15. Finally, divide by 3: x = 5.

Front

What does the term 'coefficient' mean in a linear equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation, such as the '2' in 2x.

Front

What is the solution of the equation 5.6b = 30?

Back

b = 5.

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is the solution of the equation x/4 = 2?

Back

x = 8.