Multi-Step Equations Error Analysis

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the equation 6.78x - 5.2 = 4.33x + 2.15?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

What is the common denominator for the fractions 1/5 and 3/5?

Back

The common denominator for 1/5 and 3/5 is 5.

Front

What mistake did the student make in the equation 1/5x + 6 = 3/5x + 5?

Back

The student did not multiply all terms by the common denominator.

Front

What is the solution to the equation 5h - 7 = 5(h - 2) + 3?

Back

The solution is an identity, meaning it is true for all values of h.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the area of a rectangle with length 12 feet and width 23 feet?

Back

The area is 12 feet * 23 feet = 276 square feet.

Front

How do you calculate the cost of painting a wall?

Back

To calculate the cost, multiply the area of the wall by the cost per square foot of paint.

Front

What is the total area of two rectangular walls each measuring 12 feet by 23 feet?

Back

The total area is 2 * (12 feet * 23 feet) = 552 square feet.