Pre-Algebra Final Exam

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What does it mean when an equation has infinitely many solutions?

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It means that there are an infinite number of values for the variable that satisfy the equation, often because the equation simplifies to a true statement for all values of the variable.

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What are consecutive integers?

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Consecutive integers are integers that follow each other in order, such as 1 and 2, or 7 and 8.

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What does the inequality x ≤ -3 represent on a number line?

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It represents all numbers less than or equal to -3, including -3 itself, typically shown with a closed circle at -3 and a line extending to the left.

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What is the distributive property in algebra?

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The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

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How do you solve a one-variable equation?

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To solve a one-variable equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal, using symbols like <, >, ≤, or ≥.

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What is the square root of a number?

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The square root of a number x is a value that, when multiplied by itself, gives x. For example, the square root of 25 is 5, since 5 × 5 = 25.

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How do you evaluate an expression with exponents?

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