Understanding Algebraic Expressions

In this video, Miss Jenkins introduces module 10.1, focusing on modeling and writing algebraic expressions. Key vocabulary terms such as algebraic expression, variable, and constant are defined. The video explains how multiplication and division are represented differently in algebra, using dots and fraction bars. A reference chart is introduced to help identify operations from keywords. The video also covers modeling methods for addition, division, and subtraction, and provides practice in writing and interpreting algebraic expressions.

What is a variable in an algebraic expression?

• A letter or symbol representing an unknown number

• A fixed value

• A mathematical operation

• A number that never changes

How is multiplication typically represented in algebraic expressions?

• Using a dot or by placing a number next to a variable

• Using a plus sign

• Using a division symbol

• Using a subtraction sign

Which of the following is a way to represent division in algebraic expressions?

• Using a plus sign

• Using a constant

• Using a fraction bar

• Using a multiplication sign

What does the term 'product' indicate in algebraic expressions?

• Addition

• Multiplication

• Division

• Subtraction

In modeling algebraic expressions, what does a bar represent?

• A constant

• A variable

• An operation

• A part of the expression being modeled

How would you model the expression 'x minus 5'?

• Using a bar with a section representing x and another section representing 5

• Using a bar divided into five parts

• Using a circle

• Using a single line

What does the phrase 'the sum of 10 and x' translate to in an algebraic expression?

• 10 / x

• 10 + x

• 10 * x

• 10 - x

How can the expression '11x' be described in words?

• 11 minus x

• 11 times x

• 11 divided by x

• 11 plus x

Which of the following phrases can be used to describe 'x over 12'?

• x times 12

• x plus 12

• x divided by 12

• x minus 12

What does the term 'quotient' refer to in algebraic expressions?

• Division

• Addition

• Subtraction

• Multiplication