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Lesson 1.1 Expressions and Variables A variable is a symbol, usually a letter of the alphabet, that stands for an unknown number, or quantity. a = variable An algebraic expression is a combination of numbers, variables, and at least one operation. x + 13 An expression is a number phrase without an equals sign. An algebraic expression is a number, variable, or combination of numbers and variables, connected by a mathematical operation like addition, subtraction, multiplication, or division. For example, in the expression x + 5, x is the variable. A numerical expression contains only numbers: 3 + 6 A variable expression contains numbers and variables: 3 + b All expressions express an idea. Translate each phrase into an algebraic expression. I. x increased by 2 2. the product of 9 and 8 b divided by 5 s decreased by I 3. 5n means "five times n" or "five ns." b- 3 means "b decreased by 3" or "a number decreased by 3." In the expression 5n, both 5 and n are factors. 4. NAME a Write the following expressions in words. 5. d+2_ 6. 3x n Spectrum Algebra Grades 6-8 4 less than 11 r added to 10. three 7s b 6 more than 12 Lesson 1.1 Algebra Basics 3​

User Swier
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Final answer:

A variable is a symbol that represents an unknown number or quantity in algebraic expressions.

Step-by-step explanation:

A variable is a symbol, usually a letter of the alphabet, that stands for an unknown number or quantity. In algebraic expressions, a variable is a combination of numbers, variables, and operations.

For example, the expression x + 2 represents 'x' increased by 2.

Another example is the expression 9 * 8b / 5s - 1, which represents the product of 9 and 8b divided by 5s, decreased by 1.

The phrase 'x increased by 2' translates to the algebraic expression x + 2.

Similarly, the phrase 'the product of 9 and 8b divided by 5s decreased by 1' translates to the algebraic expression 9 * 8b / 5s - 1. In this expression, 'b' and 's' are variables.

User Haseeb Ahmad
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