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 a: 26 = 5a + 1

Back

a = 5

Front

Solve for x: 5x - 8 = 12

Back

x = 4

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Solve for d: 5d - 6 = 9

Back

d = 3

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 get x = 4.

Front

What does it mean if an equation has no solution?

Back

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