One Step Equations & Tape Diagrams

Front

What is a one-step equation?

Back

An equation that can be solved in one step, typically involving addition, subtraction, multiplication, or division.

Front

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

Back

A symbol used to represent an unknown value that we are trying to solve for.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable, e.g., in 3x=21, 3 is the coefficient.

Front

How do you solve the equation x + 5 = 35?

Back

Subtract 5 from both sides: x = 35 - 5, so x = 30.

Front

What is the solution to the equation 5x = 35?

Back

Divide both sides by 5: x = 35 / 5, so x = 7.

Front

What does a tape diagram represent in mathematics?

Back

A visual model that uses rectangles to represent numbers and their relationships in an equation.

Front

How do you find the unit rate from a total cost?

Back

Divide the total cost by the number of units, e.g., $40 for 5 pounds gives $40 / 5 = $8 per pound.

Front

What is the equation represented by the tape diagram showing 3 equal parts totaling 9?

Back

3x = 9.

Front

What is the value of x in the equation 3x = 9?

Back

Divide both sides by 3: x = 9 / 3, so x = 3.

Front

What is the purpose of using tape diagrams in solving equations?

Back

To visually represent the relationships between quantities, making it easier to understand and solve equations.