Tape Diagrams & Equations

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate relationships between quantities, often used in solving word problems.

Front

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

Back

The variable 'x' represents an unknown value that we are trying to solve for in an equation.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the equation represented by the tape diagram showing 5 equal parts totaling 35?

Back

The equation is 5x = 35.

Front

How do you solve for 'x' in the equation 3x = 21?

Back

To solve for 'x', divide both sides of the equation by 3: x = 21 ÷ 3 = 7.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

If a tape diagram shows 3 parts of 'x' and 1 part of 3, what is the value of 'x'?

Back

The value of 'x' is 3.

Front

What is the first step in solving the equation x + 5 = 35?

Back

The first step is to subtract 5 from both sides of the equation: x = 35 - 5.

Front

What does the equation 35 - x = x represent?

Back

This equation represents a situation where the total of 35 is split into two equal parts.