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' an equation?

Back

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

Front

Write an equation for the scenario: A taxi charges $3 plus $1.50 per mile, and the total fare is $30.

Back

3 + 1.50x = 30

Front

If 2x + 5 = 15, what is the value of x?

Back

x = 5

Front

What is the first step to solve the equation 0.50x + 20 = 35?

Back

Subtract 20 from both sides: 0.50x = 15.

Front

In the equation 2x + 5 = 15, what does '2x' represent?

Back

'2x' represents two times a number, where 'x' is the variable.

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 the total cost if a carnival entry is $20 and each ride ticket is $0.50, and you buy 30 tickets?

Back

Total cost = 20 + (0.50 * 30) = $35.

Front

If Keith spent $14 on a soft drink and 6 candy bars, how do you find the cost of each candy bar?

Back

Set up the equation: 2 + 6x = 14, where x is the cost of each candy bar.