Algebra Class: Expressions & Phrases

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.

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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.