Algebra EOC Review

Front

What are the zeros of the quadratic equation?

Back

The zeros of a quadratic equation are the values of x that make the equation equal to zero. For example, in the equation x² - 3x + 2 = 0, the zeros are x = 1 and x = 2.

Front

How do you solve for x in the equation x = by + v?

Back

To solve for x, you isolate x on one side of the equation. The equation x = by + v shows that x is equal to the product of b and y plus v.

Front

What is the result of subtracting the polynomials (3x²-3x+2)-(x²-2x+1)?

Back

The result is 2x² - x + 1. You combine like terms after distributing the negative sign.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other. For example, rain causing a lake's water level to rise is causation.

Front

What does a scatter plot show?

Back

A scatter plot displays the relationship between two variables. Each point represents an observation, and the pattern of points can indicate correlation or causation.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x² + 3x - 5 is a polynomial.

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form y = ax² + bx + c can be found using the formula x = -b/(2a). This gives the x-coordinate of the vertex.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the zeros of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form y = mx + b and graphs as a straight line, while a quadratic function has the form y = ax² + bx + c and graphs as a parabola.

Front

What does it mean for two variables to have a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also tends to increase. For example, height and weight often have a positive correlation.