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

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses. For example, in the expression 2(x + 3), you would distribute 2 to get 2x + 6.

Front

What is a coefficient in an algebraic term?

Back

A coefficient is a numerical factor in a term. In the term 12d, 12 is the coefficient.

Front

What is the first step to solve the equation 10 + 7m = 17?

Back

The first step is to subtract 10 from both sides of the equation.

Front

What is the second step to solve the equation 10 + 7m = 17?

Back

The second step is to divide by 7 to isolate m.

Front

How do you solve the equation 4n - 1 = 6n + 8 - 8n + 15?

Back

First, combine like terms on the right side to get 4n - 1 = -2n + 23. Then, add 2n to both sides and add 1 to both sides to find n = 4.

Front

What is the solution to the equation 5b - 6 = 24?

Back

Add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What operation would you perform to both sides of the equation 3x + 4 = 10 to start solving for x?

Back

You would subtract 4 from both sides.