Two Step Equations (7.10A, 7.11A)

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 the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step to solve the equation 3x + 6 = 9?

Back

Subtract 6 from both sides to isolate the term with the variable: 3x = 3.

Front

What is the solution to the equation 3x + 6 = 9?

Back

x = 1, after dividing both sides by 3.

Front

What does the equation 50 + 20m = 290 represent?

Back

It represents the total amount Jim paid for his gym membership, where $50 is the initial fee and $20 is the monthly fee multiplied by m months.

Front

How do you represent a situation with a tape diagram?

Back

A tape diagram visually represents the parts of a problem, showing how quantities relate to each other, which can be translated into an equation.

Front

What is the equation represented by the tape diagram showing 4 equal parts and a total of 60?

Back

The equation is 24 + 4x = 60.

Front

What is the solution to the equation -1.3g + 1.9 = -11.1?

Back

g = 10, after isolating g by first subtracting 1.9 and then dividing by -1.3.

Front

What does the equation 8 + 6x = 35 represent?

Back

It represents a situation where 8 is added to 6 times a variable x, resulting in a total of 35.

Front

What is the first step to solve the equation 24 + 4x = 60?

Back

Subtract 24 from both sides to isolate the term with the variable: 4x = 36.