Writing and 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.

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 undo addition or subtraction, then undo multiplication or division.

Front

What does the equation 6n + 7 = 331 represent?

Back

It represents a situation where 6 buses each have 'n' students, and 7 additional students traveled in a car, totaling 331 students.

Front

How do you write an equation for a situation involving a fixed charge and a variable charge?

Back

The equation can be written as: fixed charge + (variable charge per unit * number of units) = total charge.

Front

What is the first step to solve the equation 800 + 5x = 4000?

Back

Subtract 800 from both sides to isolate the term with the variable: 5x = 4000 - 800.

Front

If a taxi charges $3 plus $1.50 per mile, how would you express the total cost for 'm' miles?

Back

The total cost can be expressed as: Total Cost = 3 + 1.50m.

Front

What is the solution to the equation 5x = 200?

Back

The solution is x = 40, found by dividing both sides by 5.

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 does the equation 50h + 150 = 375 represent in a real-world context?

Back

It represents the total cost of car repairs, where 'h' is the number of hours of labor charged at $50 per hour plus $150 for parts.

Front

How can you find the total number of items if half of them are lost?

Back

If 'x' is the original number of items, and half are lost, the equation is: x/2 = remaining items.