PA 3.1 2 step equations and word problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to solve for x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation. This means doing the opposite of what is currently being done to the variable.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is the first step to solve the equation: 5x - 7 = 18?

Back

Add 7 to both sides to isolate the term with x.

Front

Solve for t: 9 - 5t = 24

Back

t = -3

Front

What does it mean to 'show your work' in solving equations?

Back

'Showing your work' means writing down each step you take to solve the equation, which helps others understand your thought process.

Front

Solve for k: 3k + 5 = 23

Back

k = 6

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing you to isolate it and find its value.

Front

Back

y = -7

Front

What is the solution to the equation: x - 62 = 123?

Back

x = 185