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This section introduces the standard order of operations used in mathematics, known by the acronym PEMDAS.
Definition: PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Highlight: Operations must be performed in this specific order to obtain correct results.
This section explores the crucial role of parentheses in algebraic expressions and how they affect calculations.
Example: In the expression 2(x+4), distribute 2 by multiplying it with both x and 4, resulting in 2x + 8.
Highlight: Parentheses indicate that the operations inside must be performed first and can also represent multiplication.
This section explains the concept of exponents and their notation in algebraic expressions.
Definition: An exponent represents repeated multiplication of a number by itself.
Example: 2³ means 2 × 2 × 2 = 8, also read as "two to the third power"
This section covers the various ways multiplication can be expressed in word problems and their algebraic translations.
Vocabulary: Key words indicating multiplication include times, multiply, per, twice, triple, quadruple, and product.
Example: "Product of 5 and 2" translates to 5 × 2, "20 per week" becomes 20w
This section explains how to recognize and translate division operations in word problems.
Vocabulary: Key words for division include divide, quotient, half, third, fourth, and split.
Example: "Divide 8 in half" becomes 8/2, "A third of 12" translates to 12/3
This section details the various ways addition can be expressed in mathematical language.
Vocabulary: Key words for addition include sum, add, combine, increase, larger, plus, more, and and.
Example: "2 more than 7" translates to 7 + 2, "Increase by 10" becomes x + 10
This section covers the translation of subtraction operations from word problems to algebraic expressions.
Vocabulary: Key words for subtraction include difference, subtract, minus, fewer, take away, and decrease.
Example: "Subtract 2 from 9" becomes 9 - 2, "Decrease by 4" translates to x - 4
This introductory section explains the fundamental concept of translating word problems into algebraic expressions. The focus is on developing the basic skills needed for more complex mathematical problem-solving.
Definition: Algebraic expressions are mathematical phrases that combine numbers, variables, and operations.
Highlight: Understanding how to translate words into mathematical symbols is the foundation of algebra.
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Addison Cole
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A comprehensive guide to how to write algebra expressions with variables, covering essential mathematical operations and their translation into algebraic expressions.
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This section introduces the standard order of operations used in mathematics, known by the acronym PEMDAS.
Definition: PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Highlight: Operations must be performed in this specific order to obtain correct results.
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This section explores the crucial role of parentheses in algebraic expressions and how they affect calculations.
Example: In the expression 2(x+4), distribute 2 by multiplying it with both x and 4, resulting in 2x + 8.
Highlight: Parentheses indicate that the operations inside must be performed first and can also represent multiplication.
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This section explains the concept of exponents and their notation in algebraic expressions.
Definition: An exponent represents repeated multiplication of a number by itself.
Example: 2³ means 2 × 2 × 2 = 8, also read as "two to the third power"
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This section covers the various ways multiplication can be expressed in word problems and their algebraic translations.
Vocabulary: Key words indicating multiplication include times, multiply, per, twice, triple, quadruple, and product.
Example: "Product of 5 and 2" translates to 5 × 2, "20 per week" becomes 20w
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This section explains how to recognize and translate division operations in word problems.
Vocabulary: Key words for division include divide, quotient, half, third, fourth, and split.
Example: "Divide 8 in half" becomes 8/2, "A third of 12" translates to 12/3
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This section details the various ways addition can be expressed in mathematical language.
Vocabulary: Key words for addition include sum, add, combine, increase, larger, plus, more, and and.
Example: "2 more than 7" translates to 7 + 2, "Increase by 10" becomes x + 10
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This section covers the translation of subtraction operations from word problems to algebraic expressions.
Vocabulary: Key words for subtraction include difference, subtract, minus, fewer, take away, and decrease.
Example: "Subtract 2 from 9" becomes 9 - 2, "Decrease by 4" translates to x - 4
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Improve your grades
Join milions of students
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This introductory section explains the fundamental concept of translating word problems into algebraic expressions. The focus is on developing the basic skills needed for more complex mathematical problem-solving.
Definition: Algebraic expressions are mathematical phrases that combine numbers, variables, and operations.
Highlight: Understanding how to translate words into mathematical symbols is the foundation of algebra.
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
