ALGEBRAIC EXPRESSIONS 161 (Later, when you study the chapter ‘Exponents and Powers’ you will realise that x2 may also be read as x raised to the power 2). In the same manner , we can write x × x × x = x3 Commonly, x3 is read as ‘ x cubed’. Later , you will realise that x3 may also be read as x raised to the power 3. x, x2, x3, ... are all algebraic expressions obtained from x.
in the development of algebra. An algebraic expression is an expression involving numbers, parentheses, operation signs and pronumerals that becomes a number when numbers are substituted for the pronumerals. For example 2x + 5 is an expression but +) × is not. Examples of algebraic expressions are: 3x + 1 and 5(x2 + 3x)
CHAPTER 4 ALGEBRAIC EXPRESSIONS 73 4:02 | Substitution Algebra involves the use of ‘pronumerals’ as well as numbers. A pronumeral is usually a letter, such as x, that takes the place of a number in an expression like 3 x + 7. If a number is substituted for each pronumeral, a value for the expression can then be obtained.
An algebraic expression or a polynomial, consisting of only three terms, is called a trinomial . Thus x + y + 1, x 2 + 3x + 2, x 2 + 2xy + y 2 are all trinomials. The terms of a polynomial, having the same variable(s) and the same exponents of the variable(s), are called like terms.
(or simply expressions) are. Examples of expressions are: x + 3, 2y – 5, 3x2, 4xy + 7 etc. In the earlier classes, we have also learnt how to add and subtract algebraic expressions. For example, to add 7 x2 – 4x + 5 and 9x – 10, we do 7x2 – 4x + 5 + 9x – 10 7x2 + 5x – 5 Observe how we do the addition. We write each expression to be ...
1. Find algebraic expressions for the perimeter and area of each rectangle. b) 3 2. Find algebraic expressions for the perimeter and area of these rectangles. x x 3 Find algebraic expressions for the perimeter and area of these shapes. a) 2 3 Worksheet 4y 2x y 6x 5xa x) 3a 4a 4y c) 5x x + y –y e) d) 2a a + 1 f) 2a – b 3a – b 3a 5a 3a 3a a ...
3.1 Algebraic Expressions Work with a partner. a. Evaluate each algebraic expression when x = 0 and when x = 1. Use the results to match each expression in the left table with its equivalent expression in the right table. b. Compare each expression in the left table with its equivalent expression in the right table. In general, how do you think ...
For additional help with Algebra, make an appointment with an AAC tutor. Tamarack 2nd Floor 588-5088 Columbia College This handout contains common algebraic expressions that can help guide you through formulas and algebraic concepts. For additional assistance with Algebra, make an appointment with an AAC Tutor. Over →
Algebraic Expressions 14. Evaluate each expression at the given values. a) 2 1 1 for 3 4 2 x x+ = b) 2 1 2 3 for 3 − + − =y y y c) 2 2 4 3 2 for 3 + − = −n n n 15. The sum of the interior angles of a polygon can be found by subtracting 2 from the number of
Write an algebraic expression for each verbal expression. 4. the sum of j and 13 5. 24 less than three times a number Evaluate each expression. 6. 92 7. 44 Write a verbal expression for each algebraic expression. 8. 4m4 9. 1 2 n3 10. MONEY Lorenzo bought several pounds of chocolate-covered peanuts and gave the cashier a $20 bill.
Topic: SIMPLIFYING ALGEBRAIC EXPRESSIONS Introduction An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add, subtract, multiply, and divide). In algebra, we use letters to stand for numbers. We need to be able to work with these letters by following a few simple rules
In algebra, 2y is the expression generally used. EXAMPLE 8 Translate to an algebraic expression: Thirty-eight percent of some number. Let n = the number. The word “of” translates to a multiplication symbol, so we get the following expressions as a translation: 38% times n, 0.38 times n, or 0.38n. EXAMPLE 9 Translate to an algebraic expression:
Page 2 of 30 Grade 8 Expressions (draft) • What is a term? • A term is a part of an algebraic expression. • Terms are separated ONLY by + or – • If an expression has one term it is called a monomial. • If an expression has two terms it is called a binomial. • If an expression has three terms it is called a trinomial. • If it has more than two terms it can also be called a ...
Compare the numerical and algebraic expressions shown below. A numerical expression: The number that exceeds 5 by 2 is 5 2, or 7. An algebraic expression: The number that exceeds a by b is a b. Verbal Phrases Involving Subtraction The algebraic expression a b may be used to represent several different ver-bal phrases, such as:
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ALGEBRAIC EXPRESSIONS An algebraic expression is a collection of numbers and variables separated by operation signs and grouping symbols. Examples of algebraic expressions include: –2, –x, 3y + 5, x – y + z, and 2x – y2 In the expression "3y + 5," 3y and 5 are called the terms of the expression; 3y is called the variable term; 5 is called the constant term.
Lesson 7.3 Simplifying Algebraic Expressions Simplify each expression. Then state the coeffi cient of the variable in each expression. 1. x x 3 4 2. k k k 3 Simplify each expression. 3. 6g – 3g 8 g g 4. 10u 4 u 8 u 3 u 5. 9m 4 m 5 m 3 m 6. 12x 4 x 3 x 5 x State whether each pair of expressions are equivalent.
Simplifying Algebraic Expressions Name_____ (using Real Number Properties) Directions: Simplify each expression by showing and/or justifying each step. EXAMPLE: Simplify and justify steps: 20 + 4(x + 3y) – 4x – 8y – 12 + x (This is one possible solution.)
• An algebraic expression is a mathematical phrase involving at least one variable, and it can contain numbers and operational symbols. • An algebraic expression is often used to represent situations in which the same mathematical process is performed over and over again. • To evaluate an expression, you replace each variable
