Balancing Equations Review

Front

What is the principle of balancing equations in mathematics?

Back

The principle of balancing equations states that both sides of an equation must have the same value. This is achieved by performing the same operation on both sides.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for t: 5 - 2t = 3t

Back

t = 1

Front

If each circle weighs 4 pounds, what is the weight of one triangle if the scale is balanced?

Back

The weight of one triangle is 6 pounds.

Front

Write an equation to represent Hanger B if x is the weight of each triangle and 5 is the weight of each square.

Back

Front

What is the equation if red square = -1 and blue heart = z?

Back

Front

Select an equation that could represent a balanced hanger if x represents the weight of each triangle and 2 is the weight of each circle.

Back

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

The first step is to subtract 8 from both sides to isolate the term with x.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have equal values, meaning the left side equals the right side.

Front

How do 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.