1.1 Algebraic Expressions

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

$ 4k + 5

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

(2/3)(n - 10) -- Note: You NEED parenthesis around (n-10)

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

(3/4)(n + 5) -- Note: You NEED parenthesis around (n+5)

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

(n + 10)/2 or (1/2)(n + 10) -- Note: You NEED parenthesis around (n+10)

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

10 + n - 3

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

2(15/n) -- Note: You NEED parenthesis around (15/n)

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

2n - 6

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

3n - 20

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

3n - 2n OR 1n (simplified)

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

4

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

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

5 - n

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

5(4n + 7) -- Note: You NEED parenthesis around (4n +7)

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

5n + 11

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

5n - 3

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

6 + 5n or 5n + 6

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

6n - 8

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

7(30 - n) -- Note: You NEED parenthesis around (30-n)

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

7n + 30

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.

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

9 - 2n

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

Variable: x; Constant: -7; Coefficient: 2

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

Variable: y; Constant: 9; Coefficient: 2

Translate into an algebraic expression: 5 less than a number

n - 5

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

n ÷ 5