Equivalent Expressions

The video tutorial explains mathematical expressions, highlighting the difference between expressions and equations. It introduces the concept of equivalent expressions and demonstrates how to solve word problems using expressions. Two examples are provided: one involving baseball cards and another involving money savings. The tutorial also emphasizes the use of visual models to aid in understanding and constructing expressions.

What is a key difference between an expression and an equation?

• An equation does not contain numbers.

• An expression does not contain an equal sign.

• An equation contains variables.

• An expression contains an equal sign.

In the baseball card example, if Josh has B cards, how many cards does Jordan have?

• 2B

• B - 3

• B + 3

• 3B

How do you find the total number of baseball cards the three boys have?

• Subtract the smallest collection from the largest.

• Multiply the number of cards each boy has.

• Add the expressions for each boy's collection.

• Divide the total by the number of boys.

What is the equivalent expression for the total number of baseball cards?

• 3B + 9

• 4B + 9

• B + 3

• 2B + 6

In the money saved example, if Sarah has M dollars, how much does Emily have?

• M

• M + 2

• 2M

• M - 2

What is the equivalent expression for the total amount of money the girls have saved?

• 8M

• 7M

• 6M

• 5M

What should you focus on when using visual models to write equivalent expressions?

• Ignoring the word problem context.

• Drawing detailed and artistic models.

• Choosing models that are easy to draw.

• Using only numerical data.