Week 1 Recap

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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 acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system simultaneously.

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How do you solve a system of equations using substitution?

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To solve a system of equations using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with their given values and performing the necessary operations.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

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What is the solution to an inequality?

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The solution to an inequality is the set of values that make the inequality true. It can often be represented on a number line.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is a variable in mathematics?

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A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

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What is the difference between an equation and an expression?

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An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.

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How do you simplify an expression?

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To simplify an expression, combine like terms, use the distributive property, and perform any operations according to the order of operations.