Tape Diagrams & Equations

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

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

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.

The equation is 5x = 35.

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

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

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

The value of 'x' is 3.

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

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