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A guide for translating verbal expressions into algebraic expressions

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The document provides a guide on translating English phrases into algebraic expressions and symbols. It includes examples of various mathematical operations such as addition, subtraction, multiplication, and division, along with their corresponding algebraic representations. Additionally, it lists common terms used in mathematics and their symbolic equivalents.

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What are 5 examples of equations?

Algebraic Equations Examples. The best way to learn how to solve algebraic equations is to practice many problems and many different types of problems. 8x + 2 = 10. 3(y + 3) = 2(y + 5) 6x + 2y -4 = x + 2y +8. 4(x + 7) - y = 14 - y + 2x + 2(x + 7) Here is an example with two variables and two equations. Lesson Summary.

What are 5 examples of algebraic expressions?

The general algebraic formulas we use to solve the expressions or equations are: (a + b)2 = a2 + 2ab + b. (a b)2 = a2 2ab + b. a2 b2 = (a b)(a + b) (a + b)3 = a3 + b3 + 3ab(a + b) (a b)3 = a3 b3 3ab(a b) a3 b3 = (a b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 ab + b2)

How to translate verbal expressions into algebraic expressions?

6:10 8:17 So our translation is going to be the value of 2. Minus 20 times a number which we can call 20y. SoMoreSo our translation is going to be the value of 2. Minus 20 times a number which we can call 20y. So our translation will be 2 minus 20y. Okay and for our last example we have the sum of 5.

What is an example of an algebraic translation?

Verbal StatementAlgebraic Expression 1. Five increased by four times a number. 5 + 4n 2. Eight less than twice a number. 2n - 8 3. Three times a number, increased by 9. 3n + 9 4. The product of 4, and a number decreased by 7 4 (n - 7)5 more rows

Is 5 an algebraic expression?

For an expression to be an algebraic expression, a variable, and an operator is required as well. Variable can be any unknown term, for instance, x, y, z, etc. and, the operator can be +, -. Therefore, it is concluded that 5 is not an algebraic expression.

What are five examples of algebraic expressions?

Algebraic Expression Formulas (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (a + b)(a - b) = a2 - b2 (x + a)(x + b) = x2 + x(a + b) + ab. (a + b)3 = a3 + 3a2b + 3ab2 + b3 (a - b)3 = a3 - 3a2b + 3ab2 - b3 a3 + b3 = (a + b) (a2 - ab + b2)

What are the 10 algebraic formulas?

Here is a list of Algebraic formulas a2 b2 = (a b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 2ab. (a b)2 = a2 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca. (a b c)2 = a2 + b2 + c2 2ab + 2bc 2ca. (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

How do you write a verbal expression for an algebraic expression?

Step 1: Identify the operations used in the algebraic expression such as addition, subtraction, multiplication, and division. Step 2: Create a sentence where each of these operations is represented by a vocabulary term put together with the numbers. If a variable is used, we can say a number or some number.

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