Two-step equation word problems (Write and Solve)

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. For example, in the equation 2x + 3 = 7, you would first subtract 3 and then divide by 2 to find x.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the quantities involved, define a variable for the unknown, and translate the relationships described in the problem into mathematical expressions.

Front

What does the variable represent in an equation?

Back

The variable represents an unknown quantity that we are trying to solve for in the equation.

Front

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

Back

To isolate a variable, perform inverse operations in the reverse order of operations. First, eliminate any added or subtracted constants, then divide or multiply to solve for the variable.

Front

What is the first step in solving the equation 6x + 7 = 331?

Back

The first step is to subtract 7 from both sides of the equation to eliminate the constant term.

Front

If 6x + 7 = 331, what is the value of x?

Back

x = 54. After isolating x, you find that 6x = 324, and dividing by 6 gives x = 54.

Front

What is the equation for the total cost of renting a paddle boat for h hours?

Back

The equation is 33 = 2h + 15, where 33 is the total cost, 2h is the cost per hour, and 15 is the deposit fee.

Front

How do you determine the number of pages printed by a printer in m minutes?

Back

The expression is 10m + 35 = 115, where 10m represents the pages printed in m minutes and 35 is the number of pages already in the tray.

Front

What is the equation to find the original number of comic books Jill had?

Back

The equation is x/2 + 16 = 36, where x is the original number of comic books.

Front

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

Back

To check your solution, substitute the value of the variable back into the original equation and verify if both sides are equal.