how to solve algebra word problems | Page 2 | MathCelebrity Forum

# how to solve algebra word problems

1. ### Eighteen times the difference of a number and ten

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 difference of a number and ten x - 10 Eighteen times the difference of a number and ten 18(x - 10)
2. ### Ten times the sum of twice a number and six

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)
3. ### One-third a number less two

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
4. ### One-half a number times fifteen

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
5. ### Four times the quantity six plus two

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
6. ### Six less two

less means subtract: 6 - 2 <-- This is our algebraic expression If we need to evaluate we have: 6 - 2 = 4
7. ### Four less than three times y

Three times y: 3y Four less than three times y means we subtract 4 from3y: 3y - 4
8. ### Nine less than twelve

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
9. ### a number increased by 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. The phrase increased by means we add 6 to x x +6