Algebra 1 Semester 1 Exam Review

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What is the distributive property?

Back

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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How do you solve for x in the equation 2x + 3 = 11?

Back

To solve for x, subtract 3 from both sides to get 2x = 8, then divide both sides by 2 to find x = 4.

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by the letter m.

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What does it mean for two lines to be parallel?

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Two lines are parallel if they have the same slope and will never intersect, no matter how far they are extended.

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What is the difference between an equation and an expression?

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An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

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How do you factor the expression x^2 - 9?

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To factor x^2 - 9, recognize it as a difference of squares: (x - 3)(x + 3).

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What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) = y.

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What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).