Mathematics Concepts for Grade 9

What is the slope of the line represented by the equation y = 3x + 2?

• 1

• -3

• 0

• 3

What is the standard form of a quadratic function?

• f(x) = a + bx + c

• f(x) = ax^3 + bx + c

• f(x) = ax^2 + b

• f(x) = ax^2 + bx + c

What is the vertex of the quadratic function y = x^2 - 4x + 3?

• (2, -1)

• (3, 0)

• (1, 2)

• (0, 3)

What is the probability of rolling a sum of 7 with two six-sided dice?

• 1/4

• 1/12

• 1/6

• 1/8

What is the quadratic formula used to find the roots of a quadratic equation?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (-b ± 2√(b² - ac)) / a

• x = (b ± √(b² + 4ac)) / (2a)

• x = (b ± √(4ac - b²)) / (2c)

How do you convert the slope-intercept form to standard form?

• Rewrite y = mx + b as y = b - mx

• Convert y = mx + b to y = mx - b

• Change y = mx + b to Ax + By = 0

• Rearrange y = mx + b to -mx + y = b, then express as Ax + By = C.

What is the probability of drawing a red card from a standard deck of cards?

• 1.0

• 0.75

• 0.5

• 0.25

What is the axis of symmetry for the quadratic function y = 2x^2 + 4x + 1?

• -1

• -2

• 1

• 0

How do you find the y-intercept of a line given its equation?

• Use the quadratic formula to find the y-intercept.

• Set x = 0 in the equation and solve for y.

• Set y = 0 in the equation and solve for x.

• Find the slope of the line and use it to determine y.

What is the discriminant in a quadratic equation and what does it tell you?

• The discriminant is always a positive number indicating two real roots.

• The discriminant is the sum of the coefficients a, b, and c.

• The discriminant is a measure of the slope of the quadratic function.

• The discriminant is D = b^2 - 4ac, and it indicates the nature of the roots of the quadratic equation.