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, often used in solving equations.

Front

How do you solve the equation 3x = 21?

Back

Divide both sides by 3 to find x. So, x = 21 ÷ 3 = 7.

Front

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

Back

Subtract 7 from both sides to isolate x. So, x = 23 - 7 = 16.

Front

What does the equation x + 3 = 9 represent?

Back

It represents that if you add 3 to x, the result is 9.

Front

How do you find the value of m in the equation m - 14 = 32?

Back

Add 14 to both sides to isolate m. So, m = 32 + 14 = 46.

Front

What is the solution to the equation 3x = 9?

Back

Divide both sides by 3. So, x = 9 ÷ 3 = 3.

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.

Front

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

Back

Divide both sides by 5. So, x = 35 ÷ 5 = 7.

Front

What is the purpose of using hangers in solving equations?

Back

Hangers can visually represent the balance of an equation, helping to understand how to isolate variables.

Front

What does the equation 9 + 3 = x represent?

Back

It means that x is equal to the sum of 9 and 3, so x = 12.