1). Is x= 3 a solution of the equation
2x+5=3(x-2)-2
2). The product of a number and number increased by 8 is 20. Convert this statement to an equation.
3). The area of a rectangle is 54 sq meters whose length is 3m more than its width. Convert this statement to an equation.
1) does 11 = 1? NO
However, seeing an unexpected blank, and knowing that x=13 is a solution, maybe the answer is yes.
2) n(n+8)=20
3) w(w+3)=54
Luckily, I was first able to convert the statement to English! :-)
1) To determine if x=3 is a solution of the equation 2x+5=3(x-2)-2, we need to substitute the value of x=3 into the equation and check if it satisfies the equation.
Substituting x=3, we get:
2(3) + 5 = 3(3 - 2) - 2
6 + 5 = 3(1) - 2
11 = 3 - 2
Simplifying further:
11 = 1
Since 11 is not equal to 1, x=3 is not a solution to the equation 2x+5=3(x-2)-2.
2) The statement "The product of a number and number increased by 8 is 20" can be converted to an equation using variables. Let's assume the number is represented by the variable 'x'.
The product of a number and number increased by 8 can be written as:
x * (x + 8)
According to the statement, this expression is equal to 20. Therefore, our equation becomes:
x * (x + 8) = 20
3) The statement "The area of a rectangle is 54 sq meters whose length is 3m more than its width" can be converted to an equation using variables. Let's assume the width of the rectangle is represented by the variable 'w'.
The length of the rectangle, according to the statement, is 3 more than the width, so it can be represented as 'w + 3'.
The area of a rectangle is calculated by multiplying the length and width. So, our equation becomes:
(w + 3) * w = 54
Simplifying further, we have:
w^2 + 3w = 54
This is the converted equation that represents the given statement about the area of the rectangle.