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

Solve the equation: x/3 + 10 = 15

Back

x = 15.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if it simplifies to a true statement for all values of the variable, such as 0 = 0.

Front

Which equation has infinite solutions? 4x + 10 = 4x + 10 or 4x + 10 = 4x + 8?

Back

4x + 10 = 4x + 10 has infinite solutions.

Front

Solve for w: -6w + 1 = -11

Back

w = 2.

Front

What is the first step to solve the equation x + 7 = 28?

Back

Subtract 7 from both sides to isolate x.

Front

Solve the equation: x + 7 = 28

Back

x = 21.

Front

What is the solution to the equation 2x - 4 = 8?

Back

x = 6.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.