Hangers & Positive Two Step Equations

Front

What is a hanger diagram in mathematics?

Back

A visual representation used to solve equations, showing weights and balances to help understand relationships between variables.

Front

What does the equation 6 = 2y + 3 represent?

Back

It shows that when 2 times a variable 'y' is added to 3, the total equals 6.

Front

How do you solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What is the first step to solve the equation 3x = 15?

Back

Divide both sides by 3 to isolate x.

Front

What is the solution to the equation 2x + 4 = 12?

Back

x = 4.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution for the equation 5x - 10 = 0?

Back

x = 2.

Front

What is a two-step equation?

Back

An equation that requires two operations to solve for the variable.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

To visually represent the balance of weights, making it easier to understand and solve for unknowns.