Two-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.

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' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 0.50x + 20 = 35?

Back

The first step is to subtract 20 from both sides of the equation.

Front

If an equation is in the form ax + b = c, what does 'a' represent?

Back

'a' represents the coefficient of the variable x.

Front

What is the solution to the equation 7x + 35 = 63?

Back

The solution is x = 4.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a consecutive integer?

Back

Consecutive integers are integers that follow each other in order, such as 1, 2, 3 or -1, 0, 1.

Front

Write an equation for the total cost if a ride costs $0.50 and the entrance fee is $20, and the total spent is $35.

Back

0.50x + 20 = 35.

Front

What is the sum of three consecutive integers if the first integer is n?

Back

The sum is n + (n + 1) + (n + 2).