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.

Tags

CCSS.6.EE.A.2B

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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.

Tags

CCSS.6.EE.A.2C

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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.

Tags

CCSS.6.EE.B.8

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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.

Tags

CCSS.6.EE.B.8

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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.

Tags

CCSS.6.EE.B.5

Front

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.

Tags

CCSS.6.EE.B.5

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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.

Tags

CCSS.6.EE.A.3

Front

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

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

Tags

CCSS.6.EE.A.2C

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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.

Tags

CCSS.6.EE.A.2B

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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.

Tags

CCSS.6.EE.A.2B