Balancing Equations Review

Front

What is a balanced equation?

Back

A balanced equation is an equation in which both sides have the same value, meaning the quantities on both sides are equal.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 5 - 2t = 3t?

Back

The first step is to isolate the variable by adding 2t to both sides, resulting in 5 = 5t.

Front

How do you check if an equation is balanced?

Back

You can check if an equation is balanced by substituting the variable with its value and verifying if both sides of the equation are equal.

Front

What is the solution to the equation 3(x - 1) = 2x + 9?

Back

The solution is x = 12.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you simplify the expression 6(-5 - 4b)?

Back

You apply the distributive property: 6 * -5 + 6 * -4b = -30 - 24b.

Front

What is the solution to the equation 6(-5 - 4b) = -7b + 38?

Back

The solution is b = -4.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.