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A term is a number, variable, or a product or quotient of numbers and variables. A variable expression contain one or more variable terms added or subtracted. b) any one of many numbers to indicate a general principle. A constant is a single number. A coefficient is a number “in front of” a variable.
- Basic Algebra Terms
The following diagram gives an example to illustrate the...
- Basic Algebra Terms
- Variables
- Coefficients
- Terms
- Equations
- Quadratic Equations
- Algebraic Fraction
A variable is a symbol that we assign to an unknown value. It is usually represented by letters such asx, y, or t. For example, we might say that l stands for the length of a rectangle and w stands for thewidth of the rectangle. We use variables when we need to indicate how objects are related even though we may not know the exactvalues of the obje...
The coefficient of a variableis the number that is placed in front of a variable. For example, 3 × w can be written as 3w and 3 is the coefficient. Coefficient
A term can be any of the following: 1. a constant: e.g. 3, 10, π, 2. the product of a number (coefficient) and a variable: e.g. –3x, 11y, 3. the product of two or more variables: e.g. x2, xy, 2y2, 7xy Like terms are terms that differ only in their numerical coefficients.For example: 3a, 22a,are like terms.
An equation consists of two expressionsseparated by an equal sign. The expression on oneside of the equal sign has the same value as the expression on the other side. For Example: 4 + 6 = 5 × 2 l = 3 × w 3w + 4xy + 5 = 2w + 3
A Quadratic Equation is an equation of the form: ax2+ bx + c = 0, where a, b and c are numbers and a ≠ 0 For Example: x2 + 2x + 3 = 0 2x2 + 5x – 7 = 0 2x2 + 5x = 8 (is a quadratic equation because it can be changed to 2x2) + 5x – 8 = 0 x2 + x = 0 (is a quadratic with c = 0) 2x2 – 7 = 0 (is a quadratic with b = 0) 2x + 3 = 0 (is not a quadratic beca...
An algebraic fraction is a fraction that contains an algebraic expression in its numerator and/ordenominator. For example: 42x−3,3x−5x+3 How to Understand Algebraic Variables This video will show you how to understand algebraic variables. In algebra, variables are placeholder letters (capitalized and lowercase) that represent the unknown,or what yo...
each time with a particular focus. For example, 1st read to understand the situation; 2nd read to create a diagram to represent the situation, 3rd read to plan a method to solve the given problem. Routine 7: Compare and Connect Students identify, compare, and contrast different mathematical approaches, representations, concepts, examples, and ...
Create your account to access this entire worksheet. Take a quick interactive quiz on the concepts in Mathematical Terms | Definitions & Examples or print the worksheet to practice offline. These ...
Roots of a Quadratic: The solutions of ax ² +bx+c = 0. The same values are zeros of the quadratic expression or the function f (x) = ax ² + bx + c. They are also the x-intercepts of the intersection of the graph of f (x) with the x-axis. Scale Factor: For the parabola f (x) = a (x−h) ² + k, a is the scale factor.
The factors of a term are the numbers or variables that are multiplied to form the term. For example, the factors of the term 9xy are 9, x, and y. Different Terms in Algebra. There are two kinds of terms in algebra: Like Terms and Unlike Terms. Like Terms: Like terms are terms whose variables and exponent power are the same. They can be ...
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strict inequality. less than. 4 < 5. 4 is less than 5. ≥. inequality. greater than or equal to. 5 ≥ 4, x ≥ y means x is greater than or equal to y.
