# Monômios Ou Termos Semelhantes

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Profandreaverdan
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Quest�es: 10 | Attempts: 5,567

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Um monômio é um número ou um produto de números em que alguns deles são representados por letras.

• 1.

### Quais das seguintes expressões são monômios?

• A.

- x

• B.

3y

• C.

7a - 4

• D.

- ab²c

• E.

Am/7

• F.

A + b - c

• G.

3x² - y²x

A. - x
B. 3y
D. - ab²c
E. Am/7
Explanation
The given question asks for monomials, which are expressions with only one term. A monomial can have constants, variables, and exponents, but it cannot have addition or subtraction operations. From the given options, the expressions - x, 3y, - ab²c, and am/7 have only one term and meet the criteria for being monomials.

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• 2.

### Representando por x a idade de uma pessoa, traduza algebricamente: os anos que faltam para ela aposentar-se com 70 anos.

70 - x
Explanation
This expression represents the number of years that are left for a person to retire at the age of 70. The variable "x" represents the person's current age. Subtracting "x" from 70 gives us the remaining years until retirement.

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• 3.

### Escreva um monômio que satisfaça a seguinte condição: ter coeficiente - 9 e parte literal m.

-9m
Explanation
The monomial that satisfies the given condition is -9m. This is because it has the coefficient -9 and the part literal m, as specified in the question.

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• 4.

### Identiique os pares de termos semelhantes:

• A.

5x e -3x

• B.

7y e 7x

• C.

15 e -40

• D.

Abc e -9abc

• E.

8a² e a²

• F.

-7a³ e -6a²

A. 5x e -3x
C. 15 e -40
D. Abc e -9abc
E. 8a² e a²
Explanation
The correct answer is 5x e -3x, 15 e -40, abc e -9abc, 8a² e a². These pairs of terms are considered similar because they have the same variables and exponents, even if the coefficients are different. In the first pair, both terms have the variable x raised to the power of 1. In the second pair, both terms have the variable x raised to the power of 0, which is equivalent to 1. In the third pair, both terms have the variable abc raised to the power of 1. In the fourth pair, both terms have the variable a raised to the power of 2.

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• 5.

### Calcule a seguinte expressão algébrica: 3abc - 2abc + 5abc

6abc
+6abc
Explanation
The given expression is a sum of three terms: 3abc, -2abc, and 5abc. When we combine like terms, we add the coefficients of the same variables. In this case, the coefficients of abc in the three terms are 3, -2, and 5. Adding them together gives us 6abc. Therefore, the correct answer is 6abc. The "+6abc" in the answer is redundant and not necessary.

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• 6.

### Indique um monômio que traduza a área total da figura:

6xy
+6xy
Explanation
The given expression, 6xy + 6xy, represents the sum of two monomials. Each monomial, 6xy, represents the area of a rectangle with sides measuring 6x and y. Therefore, the expression 6xy + 6xy represents the total area of two identical rectangles.

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• 7.

### Encontre o grau do seguinte monômio 4x²yx³ :

• A.

5ºgrau

• B.

6º grau

• C.

8º grau

• D.

10º grau

B. 6º grau
Explanation
The degree of a monomial is determined by adding the exponents of all its variables together. In this case, the monomial is 4x^2yx^3. The degree of x^2 is 2, the degree of y is 1, and the degree of x^3 is 3. Adding these exponents together (2+1+3) gives us a total degree of 6. Therefore, the correct answer is 6º grau.

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• 8.

### O alvo da figura abaixo é composto por 2 regiões: A e B. Cada tiro acertado na região B vale a metade de um tiro acertado na região A. Lucca jogou e acertou 7 tiros na região A e 5 tiros na região B. Qual o monômio que pode representar o número de pontos que Luccas obteve?

• A.

9,5x

• B.

7x

• C.

4,5x

• D.

10,5x

A. 9,5x
Explanation
Lucca acertou 7 tiros na região A, cada um valendo 1 ponto. Ele também acertou 5 tiros na região B, cada um valendo metade de um ponto. Portanto, o número total de pontos que Lucca obteve pode ser representado pelo monômio 9,5x, onde x representa o valor de um ponto.

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• 9.

### A área do triângulo colorido de azul na figura abaixo pode ser representada pelo monômio:

• A.

12,5x

• B.

6,25x

• C.

12,5x²

• D.

6,25x²

D. 6,25x²
Explanation
The area of a triangle is given by the formula A = 1/2 * base * height. In the given figure, the base of the triangle is represented by x and the height is represented by 6.25x. Multiplying the base and height together gives us 6.25x * x = 6.25x², which represents the area of the colored triangle.

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• 10.

### Se você dividir o cubo da soma (-7y +10y +2y) pela soma (-10y² - 15y²), que monômio você encontrará?

-5y
Explanation
When we simplify the expression (-7y + 10y + 2y), we get 5y. And when we simplify the expression (-10y^2 - 15y^2), we get -25y^2. Therefore, when we divide 5y by -25y^2, we get -5y.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Oct 12, 2011
Quiz Created by
Profandreaverdan