simple algebraic equations examples with answers

The values of the variable that makes an equation true are called the solution or root of the equation.

It can be solved to find the value of the unknown quantity.Įxample: x - 8 = 16, 6y = 33, 3z - 7y = 9, etc. It is a mathematical statement having at least one term or multiple terms connected through operators in between.Īn expression does not contain an equal to '=' sign. When two expressions are equal in value and written together with an 'equal to' sign in between, it is known as an equation in math. Let us understand the basic difference between equation and expression through the table given below: Equation

When 2x + 4 is an expression, 2x + 4 = 0 is considered an equation. The standard form of a cubic equation with variable x is ax 3 + bx 2 + cx + d = 0, where a ≠ 0.Įxpressions and equations in math are used simultaneously in algebra, but there is a major difference between the two terms. Here, 3 is the highest exponent of at least one of the terms. Cubic EquationsĮquations with degree 3 are known as cubic equations. These equations can be solved by splitting the middle term, completing the square, or by the discriminant method. The standard form of a quadratic equation with variable x is ax 2 + bx + c = 0, where a ≠ 0. Quadratic EquationĮquations with degree 2 are known as quadratic equations. The standard form of a linear equation with variables X and Y are aX + bY - c = 0, where a and b are the coefficients of X and Y respectively and c is the constant. These can be further classified into linear equations in one variable, two-variable linear equations, with three variables, etc. In such equations, 1 is the highest exponent of terms. Following are the three types of equations in math:Įquations with 1 as the degree are known as linear equations in math. This will get you x = 9 which is the required solution of the equation.īased on the degree, equations can be classified into three types. This implies, 3x - 20 + 20 = 7 + 20, which can be simplified as 3x = 27. To bring all the constants on RHS, we have to add 20 to both sides. Let us take one more example of a basic equation: 3x - 20 = 7. Step 3: Simplify it and get the answer.Step 2: Combine all like terms (terms containing the same variable with the same exponent) by adding/subtracting them.Step 1: Bring all the terms with variables on one side and all the constants on the other side of the equation by applying arithmetic operations on both sides.

The steps to solve a basic equation with one variable (linear) are given below: Thus, the solution of the given equation of a line is x = 2. Now, let's divide both sides by 3 to reduce the LHS to x. The new LHS is 3x − 2 + 2 = 3x and the new RHS is 4 + 2 = 6. Let's add 2 on both sides to reduce the LHS to 3x. We will perform mathematical operations on the LHS and the RHS so that the balance is not disturbed. Consider the equation of a line, 3x − 2 = 4. Similarly, if we multiply or divide the same number into both sides of an equation, it still holds. If we add or subtract the same number from both sides of an equation, it still holds. An equation is like a weighing balance with equal weights on both sides.

Simple algebraic equations examples with answers