Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

Combine like terms and isolate x to find x = 4.

Front

What does it mean to 'translate' a verbal expression into an algebraic expression?

Back

To convert a word phrase into a mathematical equation or expression.

Front

Translate: Five more than a number.

Back

x + 5.

Front

What is the solution to the equation 2x - 3 = 36?

Back

x = 19.5.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the importance of distributing in equations?

Back

Distributing allows you to eliminate parentheses and simplify the equation.

Front

Solve: -11 - 5a = 6(5a + 4).

Back

a = -1.

Front

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

Back

To simplify the equation and make it easier to solve.