Problem 28
A number is tripled, then increased by seven. The result is \(48 .\) What is the number?
Problem 32
Seven is added to the product of 41 and some number. The result, when divided by four, is \(63 .\) What is the number?
Problem 46
For the following problems, translate the following phrases or sentences into mathematical expressions or equations. A number plus six, divided by two, is seventy-one.
Problem 47
For the following problems, translate the following phrases or sentences into mathematical expressions or equations. A number plus six, divided by two, plus five, is forty-three.
Problem 53
For the following problems, solve the inequalities. $$ 3 x+2 \leq 2 x-5 $$
Problem 53
For the following problems, translate the following phrases or sentences into mathematical expressions or equations. An unknown quantity is decreased by eleven. This result is then divided by fifteen. Now, one is subtracted from this result and five is obtained.
Problem 58
For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Sixteen less than some number is forty-two.
Problem 59
Translate the phrases or sentences to mathematical expressions or equations. Two fifths of a number minus five.
Problem 64
Translate the phrases or sentences to mathematical expressions or equations. A number is added to itself five times, and that result is multiplied by eight. The entire result is twelve.
Problem 67
Find the product. \((x-7)(x+7)\).