Solving Equations by Combining Like Terms

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

Solve the equation: 3(4 – 2x) + 4x = 2

Back

x = 5

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is a variable in an equation?

Back

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

Front

What does it mean to isolate a variable?

Back

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

Front

Solve the equation: 3(4r - 1) + 5 = 26

Back

r = 2

Front

What is an equation?

Back

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

Front

Solve the equation: 3h - 5h + 11 = 17

Back

h = -3

Front

What is a coefficient in an equation?

Back

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