Algebra EOC Review

What is the quadratic formula?

• x = (-b ± √(b²-4ac)) / (2a)

• x = (b ± √(b²+4ac)) / (2a)

• x = (-b ± √(b²+4ac)) / (2a)

• x = (b ± √(b²-4ac)) / (2a)

How do you find the vertex of a parabola given in standard form?

• The vertex can be found using the formula x = -b/(2a) for the x-coordinate, then substitute back to find the y-coordinate.

• The vertex is always at the origin (0,0) of the parabola.

• The vertex can be found by calculating the midpoint of the x-intercepts.

• The vertex is located at the point where the parabola intersects the y-axis.

What is the standard form of a quadratic equation?

• ax² + bx + c = 0, where a, b, and c are constants.

• ax² + b + c = 0, where a, b, and c are constants.

• ax² + bx = c, where a, b, and c are constants.

• ax² + b = cx, where a, b, and c are constants.

Subtract the following polynomials: (3x²-3x+2)-(x²-2x+1)

• 2x²-x+1

• 4x²-x+1

• 2x²+2x+1

• 2x²-x-1

Which sentence describes the relationship shown on this scatter plot? As the temperature increases, the number of visitors increases.

• As the temperature increases, the number of visitors increases.

• As the temperature decreases, the number of visitors increases.

• There is no relationship between temperature and the number of visitors.

• The number of visitors remains constant regardless of temperature.

What is the y-intercept of a linear equation?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis, represented by the value of y when x = 0.

• The slope of the line when x = 0.

• The value of x when y = 0.

What is a polynomial?

• A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

• A type of equation that has only one variable.

• A mathematical expression that can only include positive integers.

• A formula used to calculate the area of geometric shapes.

What is the difference between correlation and causation?

• Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

• Correlation means that two variables are identical, while causation means they are unrelated.

• Correlation shows that one variable causes the other, while causation shows that they are merely associated.

• Correlation is a statistical measure, while causation is a philosophical concept.

What does the slope of a line represent in a linear equation?

• The slope represents the rate of change of the dependent variable with respect to the independent variable.

• The slope indicates the y-intercept of the line.

• The slope shows the maximum value of the dependent variable.

• The slope represents the distance between two points on the line.

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(1.14)ⁿ

• y=6(1.14)ⁿ+2

• y=6(1.14)ⁿ-1

• y=6(1.14)ⁿ/2