Two Step Equations Word Problems

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 the inverse operations in the reverse order of how they are applied.

Front

What is the first step in solving the equation 4x + 7 = 23?

Back

Subtract 7 from both sides of the equation.

Front

What does the equation 14h = 112 represent in a word problem context?

Back

It represents the relationship between hourly earnings and total earnings, where 'h' is the number of hours worked.

Front

How do you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5b - 6 = 24?

Back

b = 6, found by adding 6 to both sides and then dividing by 5.

Front

In the equation 7 + a/3 = 5, what is the first step to solve for 'a'?

Back

Subtract 7 from both sides of the equation.

Front

What does the equation 2x + 1 = 15 represent in a word problem?

Back

It represents a situation where one quantity is one more than twice another quantity.

Front

What is the importance of understanding the order of operations when solving equations?

Back

Understanding the order of operations ensures that calculations are performed correctly and consistently.

Front

What is the solution to the equation 7 + a/3 = 5?

Back

a = -6, found by isolating 'a' after performing the necessary operations.