Two Step Equations Review

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 isolating the variable on one side of the equation.

Front

How do you translate a word problem into an equation?

Back

To translate a word problem into an equation, identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What does 'total cost' mean in a word problem?

Back

Total cost refers to the complete amount of money spent, including all charges such as unit prices and additional fees.

Front

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

Back

To isolate a variable, perform inverse operations: first, eliminate any constant added or subtracted from the variable, then eliminate any coefficient multiplied or divided with the variable.

Front

What is the first step in solving the equation 55h + 142 = 362?

Back

The first step is to subtract 142 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 7.25x + 6.75 = 93.75?

Back

To solve for x, first subtract 6.75 from both sides to get 7.25x = 87, then divide both sides by 7.25 to find x = 12.

Front

How do you express 'three times a number' mathematically?

Back

'Three times a number' can be expressed as 3x, where x represents the unknown number.

Front

What does 'four less than six times a number' mean in equation form?

Back

It means 6x - 4, where x is the unknown number.

Front

What is the importance of understanding the context of a word problem?

Back

Understanding the context helps to accurately translate the problem into a mathematical equation and identify the relevant operations needed to solve it.

Front

What is the process for checking the solution of a two-step equation?

Back

To check the solution, substitute the value of the variable back into the original equation to see if both sides are equal.