Question

Translate to an algebraic expression

1. double a number increased by one is seventeen

2. Three less than a number is twelve

3. Triple a number is the same as double the number increased by five

4. Double a number increased by two is the same as the sum of the number and eight

Answer 1

1) 2n + 1 = 17

2) n - 3 = 12

3) 3n = 2n + 5

4) 2n + 2 = n + 8

Explanation:

Use "n" to represent the unknown number.

For question one:

we double the number → 2n

then we increase (add) by one → + 1

is (equal) to seventeen → = 17

For question two:

three less (minus) than a number is (equals) twelve → n - 3 = 12

Question three:

triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5

Question four:

double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8