Solving Multi-step equations.

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as 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 both sides of the equation until the variable is alone on one side.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' if there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the first step in solving the equation 14 - 2(3p + 1) = 6(4 + p)?

Back

The first step is to distribute the -2 across the terms in the parentheses on the left side of the equation.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

How do you translate the phrase '4 less than two times a number' into an algebraic expression?

Back

The expression is 2x - 4.

Front

What does it mean if an equation has 'one solution'?

Back

An equation has 'one solution' if there is exactly one value for the variable that makes the equation true.

Front

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

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the significance of the distributive property in solving equations?

Back

The distributive property allows you to multiply a single term by each term inside a set of parentheses, which is essential for simplifying equations.

Front

How do you handle equations with variables on both sides?

Back

To solve equations with variables on both sides, you can move the variable terms to one side by adding or subtracting them from both sides.