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 r: -9r + 12 = -24

Back

r = 4

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Translate this statement into an equation: One fourth of the sum of a number and two is three.

Back

1/4(2 + n) = 3

Front

Solve for n: 11 + 7n = 4

Back

n = -1

Front

What is the first step to solve the equation 4x + 22 = -34?

Back

Subtract 22 from both sides to isolate the term with x.

Front

Solve for x: 4x + 22 = -34

Back

x = -14

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 for p: -8p + 3 = -29

Back

p = 4