Solving equations with rational coefficients

Front

What is a rational coefficient?

Back

A rational coefficient is a number that can be expressed as a fraction, where both the numerator and the denominator are integers, and the denominator is not zero.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for v: 0.3v = 1.35

Back

v = 4.5

Front

What is the first step in solving the equation 0.3v = 1.35?

Back

The first step is to divide both sides of the equation by 0.3.

Front

If v = 4.5, what is 0.3v?

Back

0.3v = 0.3 * 4.5 = 1.35.

Front

What does it mean to have a coefficient in an equation?

Back

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

Front

What is the solution to the equation 0.5v = 2.5?

Back

v = 5.

Front

How can 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.

Front

What is the process of solving an equation called?

Back

The process of solving an equation is called algebraic manipulation.

Front

What is the importance of rational coefficients in equations?

Back

Rational coefficients allow for easier manipulation and solving of equations, as they can be expressed in fractional form.