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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

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

Back

It means translating the words into a mathematical equation and then solving for the unknown variable.

Front

In the equation 2x + 1 = 15, what does 'x' represent?

Back

In this equation, 'x' represents the number of goals scored by Nick.

Front

How can 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 first step to solve the equation 14h = 112?

Back

Divide both sides of the equation by 14 to isolate 'h'.

Front

If Scott charges $35 for each car and $7 per hour, how do you represent his total charge for working on one car?

Back

The total charge can be represented by the equation 7x + 35, where 'x' is the number of hours worked.

Front

What is the total number of bags Julianna has after giving 3 bags to her teacher?

Back

Julianna has 48 - 3 = 45 bags of treats left.

Front

How do you find out how many bags of treats each friend receives if Julianna has 45 bags left and 5 friends?

Back

Divide the remaining bags by the number of friends: 45 / 5 = 9 bags per friend.

Front

What is the total cost of Terry's car repair if he was charged $50 per hour for 4.5 hours and $150 for parts?

Back

The total cost is 50 * 4.5 + 150 = 375.