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

What is the first step in solving the equation -2x - 7 + 3x = 10?

Back

Combine like terms: -2x + 3x = x, so the equation becomes x - 7 = 10.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

The solution is x = -1.

Front

How do you solve the equation 3(y + 5) = 45?

Back

First, divide both sides by 3 to get y + 5 = 15, then subtract 5 to find y = 10.

Front

What does it mean to check your solution in an equation?

Back

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

Front

What is the solution to the equation 0.75(6 + d) = 12?

Back

The solution is d = 10.

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 two or more terms inside a set of parentheses.

Front

How do you handle negative coefficients in equations?

Back

When dealing with negative coefficients, remember to apply the rules of signs carefully when performing operations.

Front

What is the solution to the equation -11 - 5a = 6(5a + 4)?

Back

The solution is a = -1.