![]() Use the first two steps above to get all the terms with the variable in them on one side of the equation by combining it into a single term and all constants on the other side. This means that you need to clear out any parenthesis and combining the like terms. You can do this by multiplying both sides of the equation by the LCD.Īlso, if there are variables present in the denominators of the fractions then identify the values of the variable that will give you a division by zero as you need to avoid these values in the solution. ![]() If the given equation contains any kind of fractions use the least common denominator to clear out the fractions. The method for solving a linear equation is as follows: The present age of Deepak = x/3 = 36/3 = 12 years. Therefore, the present age of Deepak’s mother is 36 years. Hence, Deepak’s age 6 years ago = ( \ - 6) Hence, the present age of Deepak = x/3 yearsĦ years ago, the mother’s age = (x – 6) years Let the present age of Deepak’s mother be x years If his mother’s age was five times than his age 6 years ago, determine their present ages. The present age of Deepak is one-third of his mother’s present age. Hence, the distance between Delhi and Amristar is (6x + 50) km. Therefore, the total distance covered by the man = Time x speed = 6x km The time taken by the man to reach Amristar = 12:00 noon – 6.00 am = 6 hours Determine the distance between Delhi and Amritsar. At 12:00 noon, he learns that he is 50 km away from Amritsar. ![]() Assume the uniform speed of his car to be x km/h. Let us now learn about how to solve the algebra word problems by taking some examples.Ī man starts his car from Delhi to Amritsar at 6.00 am. Hence, the terms 4xy and – 3xy are called like terms, but the terms 4xy and – 3x are called, unlike terms. The terms that have different algebraic factors are called, unlike terms. The terms that have the same algebraic factors are the like terms. Specifically, a one-term expression is known as a monomial, a two-term expression is known as a binomial, and a three-term expression is known as a trinomial. 4 and 5 here are the coefficients of x and y respectively in the given expression.Īny expression having one or more terms is known as a polynomial. And the numerical factor that is attached to the variables is the coefficient. Since the variables used here are x and y, hence, x and y are called the factors of 4x + 5y. Let us understand these terms with an example.Ĭonsider 4x + 5y to be an algebraic expression, then 4x and 5y are called the terms. There are different types of terminology that are used in the algebraic equations such as term, factor, and coefficient. Determine the numberĪccording to condition, you have x – 6 = 2īy solving it algebraically for x, you get,Īlgebra Mathematics Problems and Solutions The given expression can be solved only when you know the value of the unknown variable. Here, you will learn about how the unknown values can be represented in terms of the variables. In class 6, you will be introduced to the algebra concept. Given below are the algebra identities that you must learn to solve Algebra problems.Ī 2 + b 2 = (a + b) 2 - 2ab = (a - b) 2 + 2ab ![]() Let us first revise on the basic algebra identities. We will study in this article about the algebra problems with solutions and take a look at the algebra word problems as well. All the non-numeric characters in algebra represent the variable and numerics represent the constants. The versatility of algebra is much deep and conceptual. Algebra is the branch of the Mathematics that not only deals with the numbers but also deals with the variables and alphabets. Many of you would be familiar with the word problems, but are you aware of the fact and the problems that are related to the variables and constants? When you say 5 it means the number 5 but what if you say x = 5 or 5y? This is when algebra came into existence. Algebra problems are not just based on the algebraic expressions but also depends on various types of equations in maths in which a quantity or a variable is unknown to us. ![]()
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