Solving one-step equations with fractions

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 involving addition, subtraction, multiplication, or division.

Front

How do you solve the equation x/4 = 3?

Back

Multiply both sides by 4 to get x = 12.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step to solve the equation 2x = 8?

Back

Divide both sides by 2 to get x = 4.

Front

How do you solve the equation x - 5 = 2?

Back

Add 5 to both sides to get x = 7.

Front

What is the solution to the equation 3/5x = 9?

Back

Multiply both sides by 5/3 to get x = 15.

Front

What is a fraction in the context of equations?

Back

A fraction represents a part of a whole and is expressed as a numerator over a denominator.

Front

How do you check your solution for the equation x/3 = 5?

Back

Substitute 15 back into the equation to see if it holds true: 15/3 = 5.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal after performing operations.

Front

What does it mean to multiply both sides of an equation by a fraction?

Back

Multiplying both sides by a fraction helps to eliminate the fraction from the equation, making it easier to solve.