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. It typically involves addition or subtraction followed by multiplication or division.

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, eliminate any addition or subtraction, then eliminate multiplication or division.

Front

What is the first step to solve the equation: 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable: 2x = 8.

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What is the solution to the equation: 3x - 5 = 10?

Back

Add 5 to both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

How do you check the solution of a two-step equation?

Back

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

Front

What does it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words into mathematical expressions and symbols that represent the relationships described.

Front

In the problem, 'You spent $15.50 for a mug and refills', how do you set up the equation?

Back

Let r be the number of refills. The equation is: 9.50 + 1.50r = 15.50.

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What is the total cost in the equation: 50 + 85h = 560?

Back

The total cost is $560, where 50 is the booking fee and 85h represents the hourly charge.

Front

How do you find the cost per item in a total cost problem?

Back

To find the cost per item, subtract any fixed costs from the total cost, then divide by the number of items.

Front

What is the equation for the problem: 'You and your 3 friends spent $18.70 at the skating rink'?

Back

Let s be the cost of each skate rental. The equation is: 4s + 5.50 = 18.70.