Question
Are y2 and 1y2 equivalent expressions?
- Yes
- No
- Either Yes or No
- None of the
Hint:
We are given two algebraic expressions. An algebraic expression can consist of a variable and a constant. We are asked to find if the equivalent expressions. For equivalent expressions, we have to rearrange the expression without changing the value of the expression.
The correct answer is: Yes
The given expressions are y2 and 1y2.
We are asked if the above expressions are equivalent or not.
The conditions necessary for the equations to be equivalent are:
1) Same variable.
2) Same coefficient of the given variable.
3) If there are more than two terms, all of them must be identical.
4) There must be same sign between the terms as the other equation.
5) The variable must have same power.
6) Rearranging the equation without changing the values should result in the same expression.
Now let’s consider the above expressions.
They both have the same variable. None of the equation can be solved or simplified further.
Let’s see the first expression. The coefficient is not shown, it means the coefficient is 1. And the variable is raised to power 2.
The second expression has a coefficient 1. And the variable has a power 2.
So both are identical.
So we can say that the above expressions follow the necessary conditions to be equivalent expressions.
So the answer is ‘Yes’.
We have to be careful about the powers of the variables.
Related Questions to study
Are z3 and 3z equivalent expressions?
We have to always be careful about the power of variables.
Are z3 and 3z equivalent expressions?
We have to always be careful about the power of variables.
What is the name of the following expression?
a (b + c) = ab + ac
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the name of the following expression?
a (b + c) = ab + ac
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the name of the following expression?
(a + b) + c = a + (b + c)
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the name of the following expression?
(a + b) + c = a + (b + c)
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the name of the following expression?
a + b = b + a?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the name of the following expression?
a + b = b + a?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the value of 5n + 5, 5(n + 1), when the value of n = 2?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the value of 5n + 5, 5(n + 1), when the value of n = 2?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the value of 10n + 6, 2(5n + 3), when the value of n = 1?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
What is the value of 10n + 6, 2(5n + 3), when the value of n = 1?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following is equivalent to 25 + x?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following is equivalent to 25 + x?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 3(3x – 5) and 9x – 15 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 3(3x – 5) and 9x – 15 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 9x + 81y and 3(4x + 27y) equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 9x + 81y and 3(4x + 27y) equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 3x + 3 and 3(x + 1) equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 3x + 3 and 3(x + 1) equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 2(x – 3) + 1 and 2x + 6 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 2(x – 3) + 1 and 2x + 6 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 6(n + 3) – 4 and 6n + 14 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Are 6(n + 3) – 4 and 6n + 14 equivalent expressions?
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following are equivalent expressions?
i) 3x + 9
ii) 3x
iii) 3(x + 3)
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following are equivalent expressions?
i) 3x + 9
ii) 3x
iii) 3(x + 3)
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following are equivalent expressions?
i) 5x + 25
ii) 5(x + 5)
iii) 5x
iv) 25
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following are equivalent expressions?
i) 5x + 25
ii) 5(x + 5)
iii) 5x
iv) 25
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following expressions are equivalent?
i) 8x – 4
ii) 4(2x – 1)
iii) 4x
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
Which of the following expressions are equivalent?
i) 8x – 4
ii) 4(2x – 1)
iii) 4x
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
