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

What is the first step in solving the equation -15 - 2(n - 1) - 3n = -3?

Back

The first step is to distribute -2 to the terms inside the parentheses: -2(n - 1) becomes -2n + 2.

Front

What is the solution to the equation 3x - 9x + 2 = 50?

Back

The solution is x = -8.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 4(3n - 1) = -52?

Back

The solution is n = -4.

Front

What does it mean to have a negative coefficient in an equation?

Back

A negative coefficient indicates that the variable is being multiplied by a negative number, which affects the direction of the inequality or the value of the expression.

Front

What is the solution to the equation -19 = -6 - 3a - 10?

Back

The solution is a = 1.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.