Equations & Tape Diagrams (Part 1)

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 a tape diagram represent?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve word problems.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the purpose of using tape diagrams in solving equations?

Back

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

Front

Back

This equation represents a situation where four identical quantities (4x) are combined with 7 to equal 31.

Front

How can you check if an equation is correct?

Back

You can check an equation by substituting the value of the variable back into the equation to see if both sides are equal.

Front

Back

The first step is to subtract 3 from both sides to isolate the term with the variable.

Front

Back

This equation implies that 24 is added to four identical quantities (4x) to equal 60.

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Back

Front

Back

This equation represents a situation where 8 is added to six identical quantities (6x) to equal 35.