Solving multi-step equations & inequalities

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 is the first step in solving the equation -53 = -8x + 5?

Back

The first step is to subtract 5 from both sides of the equation to begin isolating the variable x.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that satisfy the inequality condition, which can include greater than, less than, or equal to.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the solution to the equation -53 = -8x + 5?

Back

The solution is x = 7 1/4.

Front

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

Back

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

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 parenthesis.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, which can be combined through addition or subtraction.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.