Solving Two-Step Equations and Equations with Parentheses

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation -5 + 7k = -19?

Back

Add 5 to both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 4c - 6 = 2?

Back

c = 2, found by adding 6 to both sides and then dividing by 4.

Front

How do you simplify the equation 5x + 9 - x = 13?

Back

Combine like terms (5x - x = 4x) to simplify the equation before isolating x.

Front

What is the purpose of parentheses in equations?

Back

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

Front

How do you solve the equation 10(h + 1) - 4 = 76?

Back

First, add 4 to both sides, then divide by 10, and finally subtract 1 to isolate h.

Front

What is the solution to the equation 9 = 2x + 1?

Back

x = 4, found by subtracting 1 from both sides and then dividing by 2.

Front

What is the order of operations used when solving equations?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

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

Back

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