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 equation x + 3 = 9 represent?

Back

This equation represents a situation where a number x, when increased by 3, equals 9.

Front

How do you find the value of x in the equation 3x = 9?

Back

To find x, divide both sides of the equation by 3. So, x = 9 / 3 = 3.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 3x, 3 is the coefficient.

Front

What is the unit rate?

Back

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

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate?

Back

The unit rate is $8 per pound.

Front

What does the equation x + 4 = 17 mean?

Back

This equation means that if you add 4 to a number x, the result is 17.

Front

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

Back

To solve for x, subtract 4 from both sides: x = 17 - 4, so x = 13.

Front

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

Back

To find x, divide both sides by 5: x = 35 / 5 = 7.

Front

What does the equation 9x = 3 represent?

Back

This equation represents a situation where 9 times a number x equals 3.