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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Solve for a: 15 = 2a + 7

Back

a = 4

Front

Solve for y: 3y - 5 = 9

Back

y = 14/3 or approximately 4.67

Front

What is the first step to solve the equation 6 - 3a = 21?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

Solve for a: 6 - 3a = 21

Back

a = -5

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

What is the solution to the equation -4 = 2t - 2?

Back

t = -1

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 us to isolate it.