Math Problem Statement
Solution
Let's work through the problems in the image step by step:
Problem 1:
The equation given is:
The instructions ask to determine:
a. Variables
b. Coefficients
c. Constants
d. Factors
e. Terms (Suku-Suku)
a. Variables:
The variables are the letters that represent unknown quantities. In the given equation, the variables are:
- (assuming B is a constant coefficient)
b. Coefficients:
The coefficients are the numbers multiplying the variables. In this case:
- For , the coefficient is 10.
- For , the coefficient is 3.
- For , the coefficient is .
- For , the coefficient is -1 (since no number is explicitly written).
c. Constants:
Constants are numbers or symbols without variables. In this expression, no standalone constant (a number without any variable) is present, unless we assume that is a known number.
d. Factors:
Factors are quantities that multiply to form terms. For example:
- In , the factors are 10 and .
- In , the factors are 3 and .
- In , the factors are and .
- In , the factors are -1 and .
e. Terms (Suku-Suku):
The terms are separated by plus or minus signs. The given expression has 4 terms:
Problem 2:
The second problem asks to determine which of the following expressions have like terms ("Suku-Suku Sejenis"). Like terms have the same variables raised to the same powers.
Let's check the given options:
-
a.
These are like terms because both terms involve , and they are raised to the same power (1). -
b.
These are not like terms because one term involves and the other involves , different variables. -
c.
These are like terms because both terms involve , the same combination of variables. -
d.
These are not like terms because one term involves and the other is a constant. -
e.
These are not like terms because the first term involves and the second term involves . -
f.
These are like terms because both terms involve .
Do you want more details or have any other questions? Here are some related questions:
- How can you identify variables and coefficients quickly in an expression?
- What are some examples of constant terms?
- What’s the difference between factors and terms in an algebraic expression?
- How do like terms help in simplifying expressions?
- Why are coefficients important in solving algebraic equations?
Tip: When simplifying expressions, always combine like terms first to make the equation easier to solve!
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Math Problem Analysis
Mathematical Concepts
Algebra
Variables
Coefficients
Like Terms
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9
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