Understanding Equations and Problem Solving

The video tutorial guides viewers through translating a word problem into an equation and solving it. Jose and Corey have a total of 114 books, with Jose having 26 more books than Corey. By letting x represent Corey's books, the equation x + (x + 26) = 114 is formed. Simplifying and solving the equation reveals Corey has 44 books, and Jose has 70 books. The solution is verified by checking the total number of books.

What is the first step in solving a word problem involving equations?

• Check the answer

• Guess the answer

• Translate the problem into an equation

• Ignore the problem statement

If Jose has 26 more books than Corey, and Corey has x books, how can we express the number of books Jose has?

• 26x

• x - 26

• x + 26

• 26 - x

What equation represents the total number of books Jose and Corey have together?

• x + x + 26 = 114

• x + 26 = 114

• 2x + 26 = 114

• x - 26 = 114

What is the result of simplifying the expression x + x + 26?

• x + 26

• 2x + 26

• x + x

• 2x

What operation is used to isolate the variable term in the equation 2x + 26 = 114?

• Addition

• Division

• Subtraction

• Multiplication

After subtracting 26 from both sides of the equation 2x + 26 = 114, what is the resulting equation?

• 2x = 88

• x = 114

• x = 88

• 2x = 114

How do you solve for x in the equation 2x = 88?

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the value of x when 2x = 88?

• 22

• 66

• 44

• 88

If Corey has 44 books, how many books does Jose have?

• 44

• 70

• 114

• 26

What is the total number of books when Corey has 44 books and Jose has 70 books?

• 100

• 114

• 44

• 70