What is the algebra expression for the following?
A number multiplied by eight
A number decreased by two
A number divided by four
Six more than a number
Thanks!
Answers
Answer:
Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on.
Sometimes in math, we describe an expression with a phrase. For example, the phrase
"two more than five"
can be written as the expression
5+25+25, plus, 2.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression, an expression with a variable.
For example,
"three more than xxx"
can be written as the algebraic expression
x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
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Answer:
(1) 8x
(2) (y - 2)
(3) m/4
(4) (t + 4)
Step-by-step explanation:
To find the algebraic expressions for given conditions, we assume a variable and satisfy the given conditions.
Let's head to the questions.
(1) A number multiplied by eight.
Let the number be 'x'
On multiplying the assumed number with 8
Therefore, we will get,
Algebraic expression = 8x
(2) A number decreased by two.
Let the number be 'y'
Decrease means substraction.
After subtracting 2 from assumed number,
Therefore, we will get,
Algebraic expression = (y - 2)
(3) A number divided by four.
Let the number be 'm'
On dividing the assumed number with 4.
Therefore, we will get,
Algebraic expression = m/4
(4) Six more than a number
Let the number be 't'
On adding 4 to the assumed number.
Therefore, we will get,
Algebraic expression = (t + 4)