Algebra EOC Review 2021

Front

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.

Front

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.

Front

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.

Front

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.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression. For example, x^2 - 9 can be factored into (x - 3)(x + 3).

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value (like 5 or -3).

Front

What is the purpose of combining like terms?

Back

Combining like terms simplifies an expression by merging terms that have the same variable raised to the same power, making it easier to work with.

Front

What is the slope of a line?

Back

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 indicates how much y changes for a given change in x.

Front

What is a quadratic equation?

Back

A quadratic equation is a second-degree polynomial equation in the form ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of how far they are extended.