Solving Equations With Variables On Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

What is a coefficient?

Back

A numerical factor in a term of an algebraic expression.

Front

Solve: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is a constant in mathematics?

Back

A number that does not change and has no variable attached.

Front

Solve: -(8n - 2) = 3 + 10(1 - 3n)

Back

n = 1/2

Front

What does it mean to isolate a variable?

Back

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

Front

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

Back

x = -6

Front

What is a term in an algebraic expression?

Back

A single mathematical expression that can be a number, variable, or the product of numbers and variables.

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms on both sides of the equation.