Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for x: x - 3 = 10

Back

x = 13

Front

Solve for x: 4x - 3 = 17

Back

x = 5

Front

What is the first step to solve the equation 4 = 2(x + 3)?

Back

Distribute the 2 to both terms inside the parentheses: 4 = 2x + 6.

Front

Solve for h: 5h - 6 - h + 10 = 12

Back

h = 2

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for y: 3y + 6 + 4y - 7 = -8

Back

y = -1

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.