Variables on Both Sides

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It involves isolating the variable by moving terms from one side of the equation to the other to find its value.

Front

What is the first step in solving an equation like 6v - 8 + 11v = 6(7v - 10) + 12(-2v + 3)?

Back

Distribute any constants across the parentheses and combine like terms.

Front

How do you combine like terms in an equation?

Back

Add or subtract coefficients of the same variable to simplify the expression.

Front

What is the importance of balancing an equation?

Back

Both sides of the equation must remain equal after performing operations to maintain the truth of the equation.

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the solution to the equation 11a + 9(a + 6) = 6(11a + 9)?

Back

0

Front

What is the process of checking your solution in an equation?

Back

Substituting the solution back into the original equation to verify both sides are equal.

Front

What is the significance of the distributive property in solving equations?

Back

It allows you to multiply a single term by terms inside parentheses, simplifying the equation.

Front

What does it mean if an equation has no solution?

Back

It indicates that there is no value for the variable that can satisfy the equation.