Linear Equations and Real World Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. 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 first step in solving the equation 2x + 1 = 6?

Back

Subtract 1 from both sides to isolate the term with the variable.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

How do you represent 'two times a number plus five equals 15' as an equation?

Back

The equation is 2x + 5 = 15.

Front

Which operation cancels out addition?

Back

Subtraction cancels out addition.

Front

Which operation cancels out multiplication?

Back

Division cancels out multiplication.

Front

What is the solution to the equation 6 + (4)3?

Back

The solution is 18.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that we can solve for in equations.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation.