Two-Step Equations with Rational Coefficients

Front

What is a coefficient in an equation?

Back

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

Front

What does it mean to solve a two-step equation?

Back

To solve a two-step equation means to isolate the variable by performing two operations, typically involving addition or subtraction followed by multiplication or division.

Front

If the coefficient of the variable is a fraction, dividing both sides by a fraction is the same as...

Back

multiplying by the reciprocal.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

What is the inverse operation of subtraction?

Back

Addition.

Front

How do you isolate a variable in a two-step equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is a rational coefficient?

Back

A rational coefficient is a coefficient that can be expressed as a fraction, where both the numerator and denominator are integers.

Front

What is the first step in solving the equation 3x + 4 = 10?

Back

Subtract 4 from both sides to get 3x = 6.

Front

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

Back

x = 4.

Front

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

Back

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