Hanger Diagram Flashcardizz

Front

What is a hanger diagram in mathematics?

Back

A hanger diagram is a visual representation used to illustrate equations, typically involving variables and constants, often used to solve for unknowns in algebra.

Front

What does the equation 2y + 10 = 31 represent?

Back

This equation represents a linear relationship where the variable y can be solved to find its value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 7 = 3x + 1?

Back

The first step is to subtract 1 from both sides of the equation to begin isolating the variable x.

Front

What does the equation 3x + 2 = 3 imply about the relationship between x and constants?

Back

This equation implies that the value of x can be determined by manipulating the constants on the other side of the equation.

Front

What is the solution to the equation 2z + 3 = 5?

Back

To solve for z, subtract 3 from both sides to get 2z = 2, then divide by 2 to find z = 1.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the significance of the constant in the equation 4w + 1.5 = 8.5?

Back

The constant (1.5) affects the value of w and represents a fixed amount added to the variable term.

Front

What is the process to solve the equation 4w + 1.5 = 8.5?

Back

First, subtract 1.5 from both sides to get 4w = 7, then divide by 4 to find w = 1.75.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if the variables cannot satisfy the equation, often resulting in a contradiction.