Solving Equations and Inequalities: A Comprehensive Review

This video tutorial is part of a review series for Algebra 1, focusing on equations and inequalities. It guides students through solving various algebraic equations and inequalities, including graphing solutions. The tutorial also covers writing and solving word problems, emphasizing the importance of understanding variables and operations. Students are encouraged to download a review sheet, attempt the problems independently, and use the video to check their work.

How do you solve a two-step equation involving division and subtraction?

• Multiply first, then add

• Add first, then multiply

• Divide first, then subtract

• Subtract first, then divide

What operation undoes multiplication by a negative number?

• Division by the positive equivalent

• Addition of the absolute value

• Multiplication by the same number

• Division by the negative equivalent

When solving for Y, what is the first step if Y is being subtracted from a number?

• Add Y to both sides

• Multiply both sides by Y

• Divide both sides by Y

• Subtract Y from both sides

What is the result of subtracting a larger number from a smaller number?

• An undefined operation

• A negative number

• A positive number

• Zero

What happens to the inequality sign when dividing both sides by a negative number?

• It doubles in size

• It disappears

• It flips direction

• It remains unchanged

How do you represent a variable that is less than a certain value on a number line?

• With an empty circle and shading to the right

• With a filled circle and shading to the left

• With an empty circle and shading to the left

• With a filled circle and shading to the right

What is the first step in formulating an equation from a word problem?

• Identify the variable

• Solve for the variable

• Substitute numbers for words

• Graph the equation

In solving equations, what does distributing a number across a parenthesis involve?

• Adding the number to each term inside

• Subtracting the number from each term inside

• Multiplying the number with each term inside

• Dividing the number by each term inside

In the context of word problems, what does 'at least' imply?

• An exact amount

• A maximum amount

• A minimum amount

• An average amount

When graphing an inequality, what does a filled circle indicate?

• The variable is not equal to the value

• The variable is equal to the value

• The variable is greater than the value

• The variable is less than the value