Algebra 1 EOC Review #2

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one corresponding y-value.

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by using the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What does the term 'mx' represent in a linear equation?

Back

In a linear equation of the form y = mx + b, 'mx' represents the slope of the line multiplied by the x-value, indicating how much y changes for a unit change in 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 an ordered pair in the context of a coordinate plane?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on the coordinate plane, where x is the horizontal position and y is the vertical position.

Front

How do you solve an inequality like 8x + 16y > 32?

Back

To solve the inequality, isolate y on one side by rearranging the equation, which may involve subtracting 8x from both sides and then dividing by 16.

Front

What is the area of a shape, and how is it calculated?

Back

The area of a shape is the amount of space inside it, calculated using specific formulas depending on the shape (e.g., length x width for rectangles).

Front

What does completing the square mean in algebra?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)^2 = q, making it easier to solve for x.

Front

What is the process to complete the square for a quadratic expression?

Back

To complete the square, take the coefficient of the x term, divide it by 2, square the result, and add it to both sides of the equation.

Front

What is the significance of the b value in a quadratic equation?

Back

In a quadratic equation of the form ax^2 + bx + c, the b value affects the position of the vertex and the axis of symmetry of the parabola.