Two-Step Equations and Equations with Grouping

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. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation. For example, in the equation x + 5 = 12, you would subtract 5 from both sides to isolate x.

Front

What is the first step to solve the equation 3c + 2 = 17?

Back

The first step is to subtract 2 from both sides of the equation, resulting in 3c = 15.

Front

What is the solution to the equation 4f + 3 = 19?

Back

The solution is f = 4. First, subtract 3 from both sides to get 4f = 16, then divide by 4.

Front

What does it mean to have an equation with grouping?

Back

An equation with grouping involves parentheses or brackets that indicate which operations should be performed first. For example, in the equation 2(x + 3) = 14, you would first simplify the expression inside the parentheses.

Front

How do you solve the equation 2b + 6 = 18?

Back

First, subtract 6 from both sides to get 2b = 12, then divide by 2 to find b = 6.

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Back

Front

How do you solve the equation 2z - 7 = 11?

Back

First, add 7 to both sides to get 2z = 18, then divide by 2 to find z = 9.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing you to isolate the variable and find its value.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.