Solving two-step equations (basic)

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 x: 4x + 7 = 23

Back

x = 4

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Solve for a: 33 = 4a - 7

Back

a = 10

Front

Solve for a: 26 = 5a + 1

Back

a = 5

Front

What is the first step to solve the equation 4x + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16.

Front

What is the second step to solve the equation 4x = 16?

Back

Divide both sides by 4 to find x = 4.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the inverse operation of addition?

Back

Subtraction.