One Step Equations with Rational Numbers

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation -35 + y = 70?

Back

To solve for y, add 35 to both sides: y = 70 + 35, which simplifies to y = 105.

Front

What is the first step to solve the equation 1/3a = 7/9?

Back

Multiply both sides by 3 to eliminate the fraction: a = (7/9) * 3.

Front

What is the solution to the equation 1/3a = 7/9?

Back

The solution is a = 2 1/3.

Front

Why is it necessary to multiply by 8 when solving an equation?

Back

Multiplying by 8 is necessary to undo division by 8 in the equation.

Front

What does it mean to balance an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Front

What is the purpose of dividing by 5 in an equation?

Back

Dividing by 5 is used to undo multiplication by 5 in the equation.

Front

What is the principle of inverse operations in algebra?

Back

The principle of inverse operations states that operations can be undone by their inverse; for example, addition is undone by subtraction.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.