2.3 Write Two-Step Equations

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 the reverse order of how they are applied.

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 1/3x + 11 = -1?

Back

Subtract 11 from both sides of the equation.

Front

What is the solution to the equation 1/3x + 11 = -1?

Back

x = -36.

Front

How do you set up an equation from a word problem?

Back

Identify the unknown, define it with a variable, and translate the words into a mathematical expression.

Front

What is the equation for finding the calories in a banana split if a banana has 85 calories and is 10 calories less than one eighth of the calories in a banana split?

Back

x/8 - 10 = 85.

Front

What does 'half of a number' mean in algebraic terms?

Back

It means to multiply the number by 1/2 or divide it by 2.

Front

If Zorna weighs 92 pounds and her weight is 6 pounds more than half of her father's weight, what equation represents this situation?

Back

x/2 + 6 = 92.

Front

How do you represent the total number of students on a field trip with buses and cars?

Back

Use the equation 6x + 7 = 331, where x is the number of students in each bus.