Solving 2-Step Equations

Front

What is a 2-step equation?

Back

A 2-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

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of operations: first undo addition or subtraction, then undo multiplication or division.

Front

Solve for m: 10(x-5)=-80

Back

m = -3

Front

What is the first step to solve the equation 10(x-5)=-80?

Back

Distribute 10 to both terms inside the parentheses: 10x - 50 = -80.

Front

Solve for t: -0.8(10-x)=36

Back

t = 55

Front

What does it mean to 'distribute' in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

If you have the equation x + 7 = 12, what is the first step to solve for x?

Back

Subtract 7 from both sides to isolate x: x = 12 - 7.

Front

What is the solution to the equation 2x = 10?

Back

x = 5.