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. It typically involves addition or subtraction followed by multiplication or division.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve for x: 4x + 7 = 23.

Back

x = 4.

Front

What is the second step after isolating the variable in a two-step equation?

Back

Perform the inverse operation to solve for the variable.

Front

Solve for y: -15 = -4y + 5.

Back

y = 5.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for x: 9 + 3x = 10.

Back

x = \frac{1}{3}.

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 and find its value.

Front

Solve for z: 6z + 3 - 4z = 9.

Back

z = 3.

Front

What is the first operation to perform when solving the equation 2x + 5 = 15?

Back

Subtract 5 from both sides.