Solving Equations with Variables on Both sides

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

Solve for x: 4(1 - x) + 3x = -2(x + 1)

Back

x = -6

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Front

Solve for n: 6n - 2 = 10(1 - 3n)

Back

n = 1/3

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as the number 2 in the expression 3x + 2.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 5x - 7 = 3?

Back

x = 2.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.