1. Algebraic Reasoning

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What is Algebraic Reasoning?

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Algebraic reasoning is the ability to understand and use algebraic concepts and relationships to solve problems. It involves recognizing patterns, understanding the use of variables, and applying mathematical operations.

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What does the term 'variable' mean in algebra?

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A variable is a symbol, often a letter, that represents a number that can change or vary. For example, in the expression x + 5, x is a variable.

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What is the order of operations in mathematics?

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The order of operations is a set of rules that determines the sequence in which calculations are performed. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

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What does it mean to 'add' in algebra?

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To add means to combine two or more numbers to get a total. For example, 3 + 4 = 7.

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What does it mean to 'subtract' in algebra?

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To subtract means to take one number away from another. For example, 10 - 4 = 6.

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What is multiplication in algebra?

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Multiplication is a mathematical operation where a number is added to itself a certain number of times. For example, 3 times 4 (3 x 4) equals 12.

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What is division in algebra?

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Division is the process of determining how many times one number is contained within another. For example, 12 divided by 4 (12 ÷ 4) equals 3.

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What does 'more than' indicate in a mathematical expression?

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'More than' indicates addition. For example, '5 more than 3' means 3 + 5.

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What is a mathematical expression?

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A mathematical expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division) that represents a value.

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What is a mathematical equation?

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A mathematical equation is a statement that two expressions are equal, often containing an equals sign (=). For example, 2x + 3 = 7.