Algebraic Expressions and Problem Solving

The video tutorial covers lesson 8 of unit 3, focusing on using if-then moves to solve equations. It reviews properties of equality and demonstrates solving word problems using tape diagrams and algebra. Examples include calculating money collected by firefighters, designing a pet pen, Nancy's morning routine, and determining field trip participants. The tutorial emphasizes rewriting equations for easier solution recognition and compares arithmetic and algebraic approaches.

What is the main goal of using if-then moves in solving equations?

• To eliminate all variables

• To rewrite equations into a form where solutions are easily recognizable

• To isolate the variable

• To make equations more complex

Which property of equality allows you to add the same number to both sides of an equation?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

In the first example, how much more money did Keller collect than Julia?

• $27.50

• $15.00

• $42.50

• $61.15

What is the algebraic expression for the amount of money Keller collected if Julia collected 'j' dollars?

• j + 15

• j + 27.50

• j + 42.50

• j + 61.15

What is the first step in solving the pet pen problem arithmetically?

• Subtract the length from the width

• Multiply the width by four

• Add the width and length

• Subtract six and one-third from 30

In the pet pen problem, what is the width of the pen if the length is six and one-third feet longer?

• 4 and one-third feet

• 6 feet

• 10 feet

• 3 feet

How much time does Nancy spend driving to work?

• 20 minutes

• 26 minutes

• 61 minutes

• 35 minutes

What fraction of Nancy's morning routine is spent getting dressed?

• One-fourth

• One-third

• One-half

• Two-thirds

In the school trip example, how many students went on the field trip?

• 81

• 74

• 61

• 54

In the school trip example, what is the total number of participants?

• 61

• 54

• 81

• 74