Understanding Basic Algebra Concepts

The video tutorial explains how to solve a multi-step inequality by first converting it into an equation. The teacher demonstrates the use of the distributive property and combining like terms to simplify the equation. The process involves isolating the variable and solving for it. Finally, the solution is graphed, with a focus on understanding the inequality sign and its implications on the graph.

What is the first step in solving a multi-step inequality?

• Subtract all terms

• Graph the inequality

• Convert the inequality to an equation

• Add all terms together

When isolating variables, what should you do first?

• Combine like terms

• Multiply all terms by 2

• Divide all terms by 2

• Add 10 to both sides

What does PEMDAS stand for?

• Parentheses, Exponents, Addition, Subtraction, Multiplication, Division

• Parentheses, Exponents, Division, Multiplication, Addition, Subtraction

• Parentheses, Exponents, Multiplication, Division, Subtraction, Addition

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

What is the distributive property used for?

• To multiply a number outside the parentheses with each term inside

• To subtract terms from each other

• To add all terms together

• To divide all terms by a common factor

What is the result of 7 * -6?

• 42

• 36

• -42

• -36

What is the first step in using the distributive property?

• Add all terms together

• Multiply the number outside the parentheses with each term inside

• Subtract all terms

• Divide all terms by a common factor

What is the result of 4 * 3?

• 7

• 12

• 15

• 9

How do you combine like terms?

• Divide all terms by the same number

• Add or subtract coefficients of the same variable

• Multiply all terms together

• Add a constant to all terms

What happens when you add a negative number?

• It doubles the value

• It cancels out

• It is the same as subtracting

• It becomes positive

What is the result of combining 5n and -7n?

• -2n

• 2n

• -12n

• 12n