2 step equation 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. 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 reverse order. First, eliminate any addition or subtraction, then eliminate multiplication or division.

Front

What does it mean to solve a word problem involving equations?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving for the unknown variable.

Front

What is the first step in solving a two-step equation?

Back

The first step is to eliminate any constant term from the variable side by performing the inverse operation.

Front

In the equation 15 + 3x = 45, what does '3x' represent?

Back

'3x' represents the total cost of three candy bars, where 'x' is the cost of one candy bar.

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 significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

Translate the following word problem into an equation: 'Ella bought two packs of blackberry juice for $15 and three candy bars for x dollars, totaling $45.'

Back

The equation is 15 + 3x = 45.

Front

What does 'x' typically represent in a two-step equation?

Back

In a two-step equation, 'x' usually represents the unknown variable that we are trying to solve for.

Front

In the equation 54 - x = 36, what does 'x' represent?

Back

'x' represents the number of parking spaces occupied by employees.