Algebra EOC Review 1

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true. For example, (1,3) is a solution to the system if it satisfies all equations.

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 combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x. It is a way to express the relationship between the input and output.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function and simplify. For example, for f(x) = 3x - 9, to find f(5), substitute 5 for x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It occurs when x = 0.

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.

Front

What does it mean for a point to be part of a solution set?

Back

A point is part of a solution set if it satisfies all the equations in the system.

Front

What is the purpose of graphing a linear equation?

Back

Graphing a linear equation helps visualize the relationship between variables and identify solutions.