One Step Equations with Fractions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

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

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

How do you apply the Distributive Property to solve 4(x + 2) = 16?

Back

You distribute 4 to both x and 2, resulting in 4x + 8 = 16, then isolate x to find x = 2.

Front

What is the first step in solving the equation 2(x + 3) = 8?

Back

The first step is to apply the Distributive Property: 2x + 6 = 8.

Front

What is the solution to the equation -7b = 49?

Back

To solve for b, divide both sides by -7, resulting in b = -7.

Front

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

Back

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

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.