Writing and Solving 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 is the first step to solve the equation 2k + 12 = -4?

Back

Subtract 12 from both sides to get 2k = -16.

Front

What is the solution to the equation 2k + 12 = -4?

Back

k = -8.

Front

What does it mean to 'define n' in a word problem?

Back

Defining 'n' means to assign a variable to represent an unknown quantity in the problem.

Front

Write the equation for Bonnie's allowance problem: Bonnie spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. If she ended with $12, what is her weekly allowance?

Back

n/2 + 4 = 12.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

How do you set up the equation for the magazine and erasers problem?

Back

5 + 4n = 25, where n is the cost of one eraser.

Front

What is the solution to the equation 3f - 12 = -3?

Back

f = 3.

Front

What is the inverse operation of addition?

Back

Subtraction.