Tape Diagrams and Equations

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate the relationships between quantities in a problem, often used in solving equations.

Front

How do you represent an equation using a tape diagram?

Back

You can represent an equation by dividing a tape into sections that correspond to the terms in the equation, showing how they relate to each other.

Front

What does the equation 24 + 4x = 60 represent in a tape diagram?

Back

It represents a total of 60, where 24 is a fixed quantity and 4x represents four equal parts that add up to the remaining amount.

Front

How do you solve the equation 4c = 40?

Back

Divide both sides by 4 to isolate c: c = 40 / 4 = 10.

Front

What is the first step to solve the equation (x+3) ⋅ 5 = 20?

Back

Divide both sides by 5 to isolate (x + 3): (x + 3) = 20 / 5 = 4.

Front

What is the value of x in the equation 9(x+3) = 81?

Back

First, divide both sides by 9: x + 3 = 81 / 9 = 9. Then, subtract 3: x = 9 - 3 = 6.

Front

What does the variable 'c' represent in the equation 4c = 40?

Back

The variable 'c' represents a quantity that, when multiplied by 4, equals 40.

Front

What is the purpose of using equations in problem-solving?

Back

Equations help to model relationships between quantities and allow us to find unknown values.

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.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.