WorksheetsMathematics Concepts for Grade 9
Total questions: 19
Worksheet time: 17mins
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.
If the slope of a line is 0, what type of line is it?
It is a vertical line.
It is a diagonal line.
It is a horizontal line.
It is a curved line.
What is the probability of flipping a coin and getting heads?
0.75
0.5
1.0
0.25
How do you graph a quadratic function?
Use only the y-intercept to create the graph.
Graph a quadratic function by only plotting the x-intercepts.
Graph a quadratic function by plotting the vertex, y-intercept, and additional points, then drawing a smooth curve.
Draw a straight line through the y-intercept and x-intercepts.
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
2
4
3
1
What is the probability of drawing an Ace from a standard deck of cards?
1/26
1/13
2/13
1/52
How can you tell if a quadratic function opens upwards or downwards?
A quadratic function opens upwards if the linear coefficient is positive.
A quadratic function opens upwards if the coefficient of x² is positive and downwards if it is negative.
A quadratic function opens downwards if the coefficient of x² is zero.
A quadratic function opens upwards if the coefficient of x² is negative.
Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?
2x + 5y = 8
5x - 2y = 6
-10x - 4y = 7
-10x + 4y = 9
Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?
y=1/6x +25/6
y = 1/6x + 4
y = -6x - 2
y = -6x + 4
Slopes of perpendicular lines are...
negative reciprocals.
opposites.
the same.
always 7.
