Solving Two Step Equations

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. It typically involves addition or subtraction followed by multiplication or division.

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

What is the first step in solving the equation 6x + 19 = 49?

Back

The first step is to subtract 19 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 6x + 19 = 49?

Back

The solution is x = 5. (First, subtract 19 from both sides to get 6x = 30, then divide by 6.)

Front

What does the term 'inverse operation' mean?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

If 3x - 4 = 11, what is the first step to solve for x?

Back

Add 4 to both sides of the equation to start isolating x.

Front

What is the solution to the equation 3x - 4 = 11?

Back

The solution is x = 5. (Add 4 to both sides to get 3x = 15, then divide by 3.)

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first in an equation, helping to clarify the order of operations.

Front

How do you check your solution for a two-step equation?

Back

Substitute the solution back into the original equation to verify that both sides are equal.

Front

What is the equation for the word problem: 'Katie rented a bike for $19 plus $6 per hour, paying $49'?

Back

The equation is 6x + 19 = 49, where x represents the number of hours rented.