Write the algebraic expressions for the following.
Please check and correct me if I'm wrong!!
1. 3 less than 5 times a number.
Answer: 5x-3
2. 18 fewer than half a number.
Answer: 1/2x-18
3. 3 more than the quotient of a number and 2.
Answer: x/2+3
4. 4 times the difference of a number and 1.
Answer: 4(x-1)
Perfect, well done!
Parentheses should be in 3.
(x/2) + 3
1. To find the algebraic expression for "3 less than 5 times a number," we can start by letting the number be represented by the variable "x." The expression "5 times a number" translates to 5x. To subtract 3 from this expression, we subtract 3 from 5x, giving us the expression 5x - 3.
2. For "18 fewer than half a number," we again use the variable "x" to represent the number. The phrase "half a number" is equivalent to x/2. To subtract 18 from this expression, we subtract 18 from x/2, resulting in (1/2)x - 18.
3. The expression "3 more than the quotient of a number and 2" can be translated as follows. Using the variable "x" to represent the number, the phrase "the quotient of a number and 2" becomes x/2. To add 3 to this expression, we add 3 to x/2, giving us (x/2) + 3.
4. To find the algebraic expression for "4 times the difference of a number and 1," we once again use the variable "x" to represent the number. The phrase "the difference of a number and 1" translates to (x - 1). Multiplying this expression by 4, we get 4(x - 1).