Algebra Class: Expressions & Phrases

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is a number increased by two?

x + 2

What is the product of nine and a number?

What is the quotient of nine and a number?

9/y

What is the difference of twice a number and five?

2x - 5 Signup and view all the answers

What is the sum of a number squared and ten?

x² + 10 Signup and view all the answers

What is six more than a number?

x + 6 Signup and view all the answers

What is triple a number increased by twelve?

3x + 12 Signup and view all the answers

What is a number decreased by sixteen?

y - 16 Signup and view all the answers

What is double a number increased by five?

2x + 5 Signup and view all the answers

What is the sum of half a number and four?

x/2 + 4 Signup and view all the answers

What is the quotient of 11 and 9?

11/9 Signup and view all the answers

What is the difference of 11 and 9?

11 - 9 Signup and view all the answers

What is the product of 11 and 9?

11 x 9 Signup and view all the answers

What is the sum of 11 and 9?

11 + 9 Signup and view all the answers

What is a number squared?

x² Signup and view all the answers

What is a number cubed?

x³ Signup and view all the answers

What is the number next to the variable?

Coefficient Signup and view all the answers

What is a number on its own without a variable?

Constant term Signup and view all the answers

What is a letter which stands in place of a number?

Variable Signup and view all the answers

What is the Distributive Property?

3(a-4) = 3a - 12 Signup and view all the answers

What is fourteen less than a number?

x - 14 Signup and view all the answers

What is the difference of x and 3?

x - 3 Signup and view all the answers

What is the quotient of 9 and the difference of x and p?

9 ÷ (x - p) Signup and view all the answers

What is ten less than the product of 4 and r?

4r - 10 Signup and view all the answers

What is four times the sum of x and y?

4(x + y) Signup and view all the answers

What is four more than the product of 5 and y?

5y + 4 Signup and view all the answers

What is the product of 3 and the difference of x and 9?

3(x - 9) Signup and view all the answers

Study Notes

Algebraic Expressions and Definitions

A number increased by two: Represented as ( x + 2 )
The product of nine and a number: Denoted as ( 9y )
The quotient of nine and a number: Written as ( \frac{9}{y} )
The difference of twice a number and five: Expressed as ( 2x - 5 )
The sum of a number squared and ten: Denoted by ( x^2 + 10 )
Six more than a number: Represented as ( x + 6 )
Triple a number increased by twelve: Described as ( 3x + 12 )
A number decreased by sixteen: Written as ( y - 16 )
Double a number increased by five: Expressed as ( 2x + 5 )
The sum of half a number and four: Represented as ( \frac{x}{2} + 4 )

Basic Operations and Terms

The quotient of 11 and 9: Noted as ( \frac{11}{9} )
The difference of 11 and 9: Calculated as ( 11 - 9 )
The product of 11 and 9: Expressed as ( 11 \times 9 )
The sum of 11 and 9: Denoted by ( 11 + 9 )

Powers and Variables

A number squared: Represented as ( x^2 ) (e.g., ( 3 \times 3 ))
A number cubed: Denoted as ( x^3 ) (e.g., ( 4 \times 4 \times 4 ))
Coefficient: The number next to a variable
Constant term: A number on its own without a variable
Variable: A letter which stands in place of a number

Properties and Expressions

Distributive Property: Illustrated as ( 3(a-4) = 3a - 12 )
Fourteen less than a number: Represented as ( x - 14 )
The difference of x and 3: Denoted by ( x - 3 )
The quotient of 9 and the difference of x and p: Written as ( \frac{9}{(x - p)} )
Ten less than the product of 4 and r: Expressed as ( 4r - 10 )
Four times the sum of x and y: Represented as ( 4(x + y) )
Four more than the product of 5 and y: Denoted by ( 5y + 4 )
The product of 3 and the difference of x and 9: Written as ( 3(x - 9) )

These notes encapsulate key algebraic expressions and definitions to aid in understanding their meanings and applications.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge of algebraic expressions with these flashcards. Each card presents a word phrase along with its mathematical definition, helping you to connect terminology to its algebraic representation. Ideal for students looking to reinforce their understanding of basic algebra concepts.