One Step Equations with Rational Coefficients

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing an inverse operation to isolate the variable.

Front

How do you solve the equation 8y = 24?

Back

To solve 8y = 24, divide both sides by 8. Thus, y = 24 / 8 = 3.

Front

What is the process to isolate a variable in an equation?

Back

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

Front

How do you solve the equation 3/4b = 24?

Back

To solve 3/4b = 24, multiply both sides by the reciprocal of 3/4, which is 4/3. Thus, b = 24 * (4/3) = 32.

Front

What does it mean to have rational coefficients in an equation?

Back

Rational coefficients are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

Front

How do you solve the equation 12/15 = 8/25p?

Back

To solve 12/15 = 8/25p, first cross-multiply to get 12 * 25 = 15 * 8p, then solve for p.

Front

What is the solution to the equation 3.6k = 7.56?

Back

To solve 3.6k = 7.56, divide both sides by 3.6. Thus, k = 7.56 / 3.6 = 2.1.

Front

How do you convert a decimal equation like 1.25 = 2.5b into a fraction?

Back

To convert 1.25 = 2.5b into a fraction, recognize that 1.25 = 5/4 and 2.5 = 5/2, then solve for b.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

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

Back

To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.