Variables Both Sides, with Distributive Property

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

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

Solve for x: 4(x - 2) = -3 + 5x

Back

x = -5.

Front

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

Back

Isolate one variable by moving all terms involving that variable to one side of the equation.

Front

How do you simplify the expression -5(3b + 12)?

Back

-15b - 60.

Front

What is the solution to the equation 10 + 2n = 8n - 2n + 10?

Back

n = 0.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for k: 38 + 7k = 8(k + 4)

Back

k = 6.

Front

What is the purpose of using parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

What is the result of the equation 3 + 12(3p + 2) = 9(p - 3)?

Back

p = -2.