Algebraic Reasoning & Inequalities (5th grade)

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 3x + 5 is an algebraic expression.

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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 given numbers. For example, to evaluate 2x + 3 when x = 4, you would calculate 2(4) + 3 = 11.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥. For example, 5 < 10 is an inequality.

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How do you solve an inequality?

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To solve an inequality, you isolate the variable on one side of the inequality sign, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

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What does it mean if an inequality is true?

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If an inequality is true, it means that the relationship between the two expressions holds. For example, if 3 < 5, this statement is true.

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What does it mean if an inequality is false?

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If an inequality is false, it means that the relationship between the two expressions does not hold. For example, if 7 < 3, this statement is false.

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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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Evaluate the expression: 2(y + 3) when y = 4.

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2(4 + 3) = 2(7) = 14.

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What is a variable in algebra?

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A variable is a symbol (often a letter) that represents an unknown value. For example, in the expression x + 5, x is the variable.

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What is a coefficient?

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A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.