algebraic expressions

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. Twice a number means we multiply x by 2: 2x The sum of twice a number and 6: 2x + 6 Ten times the sum of twice a number and six 10(2x + 6)

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. One-third a number means we multiply x by 1/3: x/3 Less two means we subtract 2 x/3 - 2

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. One-half a number means we multiply x by 1/2: x/2 Times fifteen means we multiply: 15x/2

six plus two: 6 + 2 Four times the quantity six plus two 4(6 + 2) <-- This is our algebraic expression If we need to evaluate this, we have: 4(8) 32

less means subtract: 6 - 2 <-- This is our algebraic expression If we need to evaluate we have: 6 - 2 = 4

Three times y: 3y Four less than three times y means we subtract 4 from3y: 3y - 4

less than means we subtract 9 from 12: 12 - 9 <-- This is our algebraic expression IF we want to evaluate this, it's: 12- 9 = 3

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. The phrase increased by means we add 6 to x x +6

the product of a number and 15 is not less than 15 The phrase a number means an arbitrary variable. Let's call it x. x the product of a number and 15 means we multiply x by 15 15x The phrase not less than means greater than or equal to. We set 15x greater than prequel to 15 15x >= 15 <-- This...

Twice the sum of a number and 6 is equal to three times the difference of the number and 3. Find the number. The phrase a number means an arbitrary variable, let's call it x. The sum of a number and 6 means we add 6 to x: x + 6 Twice the sum of a number and 6 means we multiply x + 6 by 2: 2(x...

quotient of the sum of 3 numbers and 3 The phrase 3 numbers means we choose 3 arbitrary variables: a, b,c The sum of the 3 numbers: a + b + c quotient of the sum of 3 numbers and 3 (a + b + c)/3

1 over 2 times the sum of x and y The sum of x and y x + y 2 times the sum of x and y 2(x + y) 1 over 2 times the sum of x and y 1/2(x + y)

The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator. The phrase no more than means less than or equal to. We have this inequality: t <= 35

A desk and a chair together cost $1550. If the cost of the chair is n, what is the cost of the desk? Let the cost of the desk be d. WE know that: d + n = 1550 Therefore, d = 1550 - n

Sara earns $6000 more than 1/3 of Claudia's yearly salary. If Claudia's salary is n, what is Sara's salary? 1/3 Claudia's salary: n/3 6000 more means we add: n/3 + 6000

9 times x squared times y times z x squared: x^2 x squared times y times z x^2yz 9 times x squared times y times z 9x^2yz

Mr.coulter has n calculators and mr Riley has 4 more calculators then him More means add, so Riley's calculators are: n + 4

subtract half of a number from 10 The phrase a number means an arbitrary variable, let's call it x: x half of a number means we divide x by 2: x/2 subtract half of a number from 10 10 - x/2

n is equal to 135 less than the quantity 61 times n 61 times n: 61n 135 less than the quantity 61 times n 61n - 135 We set n equal to this expression: n = 61n - 135

product of 8 and the sum of 6 and 3y the sum of 6 and 3y 6 + 3y product of 8 and the sum of 6 and 3y 8(6 + 3y)