Algebra Expressions Flashcards

Questions and Answers

Translate into an algebraic expression: The quotient of a number and 5

n ÷ 5

Translate into an algebraic expression: 5 less than a number

n - 5

Translate into an algebraic expression: The difference of 5 and a number

5 - n

Translate into an algebraic expression: Half of the sum of a number and 10

(n + 10)/2 or (1/2)(n + 10) Signup and view all the answers

Identify the variable, constant, and coefficient: 2y + 9

Variable: y; Constant: 9; Coefficient: 2 Signup and view all the answers

Translate into an algebraic expression: 6 less than twice a number

2n - 6 Signup and view all the answers

Translate into an algebraic expression: 3 less than the sum of 10 and a number

10 + n - 3 Signup and view all the answers

Translate into an algebraic expression: 30 more than the product of 7 and a number

7n + 30 Signup and view all the answers

Translate into an algebraic expression: 20 less than triple a number

3n - 20 Signup and view all the answers

Translate into an algebraic expression: The difference of triple a number and double the number

3n - 2n or 1n Signup and view all the answers

Translate into an algebraic expression: 2/3 of the difference of a number and 10

(2/3)(n - 10) Signup and view all the answers

Translate into an algebraic expression: Seven times the difference of 30 and a number

7(30 - n) Signup and view all the answers

Translate into an algebraic expression: 5 times a number, increased by 11

5n + 11 Signup and view all the answers

Translate into an algebraic expression: 5 times the sum of 4 times a number and 7

5(4n + 7) Signup and view all the answers

Translate into an algebraic expression: Eight less than the product of 6 and a number

6n - 8 Signup and view all the answers

Translate into an algebraic expression: Three-fourths of the sum of a number and 5

(3/4)(n + 5) Signup and view all the answers

Translate into an algebraic expression: Twice the quotient of 15 and a number

2(15/n) Signup and view all the answers

Translate into an algebraic expression: 3 less than the product of 5 and a number

5n - 3 Signup and view all the answers

Translate into an algebraic expression: 6 more than the product of 5 and a number

6 + 5n or 5n + 6 Signup and view all the answers

Translate into an algebraic expression: 9 decreased by twice a number

9 - 2n Signup and view all the answers

Jorge has j baseball cards. Armondo has 15 more than Jorge. Pedro has twice as many as Armondo. Write an expression for the total number they all have together.

4j + 45 baseball cards Signup and view all the answers

Identify the variable, constant, and coefficient: 2x - 7

Variable: x; Constant: -7; Coefficient: 2 Signup and view all the answers

Evaluate 6/xy for x = 3 and y = 2

4 Signup and view all the answers

Kendra earns k dollars babysitting. Emma earns double what Kendra earns. Anna earns $5 more than what Kendra earns. How much do they earn altogether?

$4k + 5 Signup and view all the answers

The length of a rectangle is 8 inches. Write an expression for the area of the rectangle if the width is w inches.

8w inches Signup and view all the answers

Study Notes

Algebraic Expressions

The quotient of a number and 5 is represented as n ÷ 5.
"5 less than a number" translates to n - 5.
The difference of 5 and a number can be expressed as 5 - n.
Half of the sum of a number and 10 is represented as (n + 10)/2 or (1/2)(n + 10).
In the expression 2y + 9, the variable is y, the constant is 9, and the coefficient is 2.
"6 less than twice a number" translates to 2n - 6.
The expression for "3 less than the sum of 10 and a number" is 10 + n - 3.
"30 more than the product of 7 and a number" is represented by 7n + 30.
"20 less than triple a number" translates to 3n - 20.
The difference of triple a number and double the number simplifies to 3n - 2n or 1n.
"2/3 of the difference of a number and 10" is expressed as (2/3)(n - 10).
"Seven times the difference of 30 and a number" translates to 7(30 - n).
"5 times a number, increased by 11" is written as 5n + 11.
"5 times the sum of 4 times a number and 7" is represented as 5(4n + 7).
"Eight less than the product of 6 and a number" translates to 6n - 8.
"Three-fourths of the sum of a number and 5" is expressed as (3/4)(n + 5).
"Twice the quotient of 15 and a number" translates to 2(15/n).
"3 less than the product of 5 and a number" is 5n - 3.
"6 more than the product of 5 and a number" can be expressed as 5n + 6 or 6 + 5n.
"9 decreased by twice a number" translates to 9 - 2n.
If Jorge has j baseball cards, Armondo has 15 more, and Pedro has twice as many as Armondo; the total number of baseball cards is 4j + 45.
In the expression 2x - 7, the variable is x, the constant is -7, and the coefficient is 2.
Evaluating 6/xy for x = 3 and y = 2 equals 4.
Kendra earns k dollars; Emma earns double Kendra’s earnings, and Anna earns $5 more than Kendra; the total earnings are represented as $4k + 5.
For a rectangle with a length of 8 inches and width w inches, the area is expressed as 8w inches.

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Test your understanding of algebraic expressions with this set of flashcards. Each card presents a word problem, requiring you to translate it into its corresponding algebraic expression. Perfect for students looking to reinforce their algebra skills!