ATA Solving Multistep Equations 3.5 Quick Check

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, you perform inverse operations to get the variable alone on one side of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve: 3x - 9x + 2 = 50

Back

x = -8

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve: 4(3n - 1) = -52

Back

n = -4

Front

What is the first step in solving an equation?

Back

The first step is often to simplify both sides of the equation, which may include combining like terms or using the distributive property.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting your answer back into the original equation to verify that both sides are equal.

Front

Solve: -19 = -6 - 3a - 10

Back

a = 1

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.