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: 2x + 10 = 16

Back

x = 3

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18.

Front

Solve: 3c + 5 = 23

Back

c = 6

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means keeping both sides equal by performing the same operation on both sides.

Front

Solve: 7k - 14 = 42

Back

k = 8

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.

Front

Solve: 4x + 7 = 23

Back

x = 4

Front

What is the second step to solve the equation 2t - 7 = 3?

Back

Add 7 to both sides to get 2t = 10.