Solving Equations with Tape Diagrams and Hangers

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities in a problem, often used to solve equations.

Front

How do you solve the equation x + 4 = 17?

Back

Subtract 4 from both sides: x = 17 - 4, so x = 13.

Front

What is the first step to solve the equation 23 = x + 7?

Back

Subtract 7 from both sides to isolate x: x = 23 - 7.

Front

What does the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that we are trying to find.

Front

How do you solve the equation a - 2.1 = 5.8?

Back

Add 2.1 to both sides: a = 5.8 + 2.1, so a = 7.9.

Front

What is the solution to the equation p/5 = 7?

Back

Multiply both sides by 5: p = 7 * 5, so p = 35.

Front

What is the purpose of using hangers in solving equations?

Back

Hangers can be used to visually represent equations and balance them, helping to understand the concept of equality.

Front

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

Back

Isolating a variable means to get the variable alone on one side of the equation to solve for its value.

Front

What is the value of x in the equation 5x = 35?

Back

Divide both sides by 5: x = 35 / 5, so x = 7.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.