Equations and Tape Diagrams

Front

What is an equation?

Back

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

Front

What is a variable in mathematics?

Back

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

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 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 a tape diagram?

Back

A tape diagram is a visual representation of a mathematical problem that uses rectangles to show the relationships between quantities.

Front

How can tape diagrams help in solving equations?

Back

Tape diagrams help visualize the relationships between quantities, making it easier to set up and solve equations based on those relationships.

Front

What is the first step in solving the equation 8 + 6x = 35?

Back

The first step is to subtract 8 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 4x + 7 = 31?

Back

The solution is x = 6, found by isolating x through subtraction and division.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the purpose of using fractions in equations?

Back

Fractions in equations represent parts of a whole and can be used to express relationships between quantities.