General 9th Grade Math

Question 1

What is the Pythagorean Theorem?

Answer 1

a² + b² = c², where c is the hypotenuse of a right triangle.

Question 2

True or False: The sum of the angles in a triangle is always 180 degrees.

Answer 2

True

Question 3

Fill in the blank: The slope of a line is calculated as ____.

Answer 3

rise over run

Question 4

What is the formula for the area of a circle?

Answer 4

A = πr², where r is the radius.

Question 5

What is a linear equation?

Answer 5

An equation that makes a straight line when graphed.

Question 6

What is the quadratic formula?

Answer 6

x = (-b ± √(b² - 4ac)) / 2a

Question 7

True or False: The x-intercept of a line is the point where the line crosses the y-axis.

Answer 7

False

Question 8

What is the value of x in the equation 2x + 5 = 15?

Answer 8

x = 5

Question 9

Multiple Choice: Which of the following is a polynomial? A) 3x + 2 B) 2/x C) √x D) sin(x)

Answer 9

A) 3x + 2

Question 10

What does it mean for two lines to be parallel?

Answer 10

They have the same slope and never intersect.

Question 11

Fill in the blank: The distance formula is derived from the ____ theorem.

Answer 11

Pythagorean

Question 12

What is the domain of the function f(x) = 1/x?

Answer 12

All real numbers except x = 0.

Question 13

What is the standard form of a linear equation?

Answer 13

Ax + By = C, where A, B, and C are constants.

Question 14

True or False: A negative slope indicates that the line goes up from left to right.

Answer 14

False

Question 15

What is the result of factoring the expression x² - 9?

Answer 15

(x - 3)(x + 3)

Question 16

What is the measure of each interior angle in a regular hexagon?

Answer 16

120 degrees

Question 17

Multiple Choice: What is the area of a rectangle with length 8 cm and width 5 cm? A) 13 cm² B) 40 cm² C) 30 cm² D) 48 cm²

Answer 17

B) 40 cm²

Question 18

What is an asymptote?

Answer 18

A line that a graph approaches but never touches.

Question 19

Fill in the blank: The function f(x) = mx + b is the equation of a ____.

Answer 19

line

Question 20

What is a rational number?

Answer 20

A number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Question 21

True or False: The median of a set of numbers is the average of those numbers.

Answer 21

False

Question 22

What is the greatest common factor (GCF) of 12 and 16?

Answer 22

4

Question 23

What is the sum of the first 10 positive integers?

Answer 23

55

Question 24

Fill in the blank: In statistics, the ____ is the middle value of a data set.

Answer 24

median

Question 25

What is the fundamental theorem of algebra?

Answer 25

Every non-constant polynomial equation has at least one complex root.

Question 26

Multiple Choice: What is the slope of the line represented by the equation 3x - 4y = 12? A) 3 B) -3 C) 4 D) -4

Answer 26

B) -3

Question 27

What is the quadratic formula?

Answer 27

x = (-b ± √(b² - 4ac)) / (2a)

Question 28

True or False: The sum of the angles in a triangle is always 180 degrees.

Answer 28

True

Question 29

Solve for x: 2x + 3 = 11.

Answer 29

x = 4

Question 30

What is the slope of the line represented by the equation y = 2x + 5?

Answer 30

2

Question 31

Fill in the blank: The Pythagorean theorem states that in a right triangle, a² + b² = _____.

Answer 31

c²

Question 32

What is the area of a circle with a radius of 3?

Answer 32

28.27 (approximately)

Question 33

Which of the following is a prime number? (A) 4 (B) 5 (C) 6

Answer 33

B) 5

Question 34

What is the formula for the volume of a cylinder?

Answer 34

V = πr²h

Question 35

If f(x) = 3x + 2, what is f(4)?

Answer 35

14

Question 36

What is the definition of a median in a data set?

Answer 36

The median is the middle value when the data set is ordered from least to greatest.

Question 37

True or False: The x-axis is the horizontal line in a Cartesian coordinate system.

Answer 37

True

Question 38

What is the value of 5²?

Answer 38

25

Question 39

What is the equation of a line in slope-intercept form?

Answer 39

y = mx + b

Question 40

If the probability of an event happening is 0.25, what is the probability of it not happening?

Answer 40

0.75

Question 41

What does the term 'distributive property' refer to?

Answer 41

a(b + c) = ab + ac

Question 42

Calculate the circumference of a circle with a diameter of 10.

Answer 42

31.42 (approximately)

Question 43

What is the formula to find the area of a triangle?

Answer 43

A = 1/2 * base * height

Question 44

Which is greater: 1/2 or 2/5?

Answer 44

1/2

Question 45

What is the value of the expression 3(4 + 5)?

Answer 45

27

Question 46

What type of angle measures more than 90 degrees but less than 180 degrees?

Answer 46

Obtuse angle

Question 47

Fill in the blank: The x-intercept of a line is where the line crosses the _____ axis.

Answer 47

x

Question 48

What is an integer?

Answer 48

A whole number that can be positive, negative, or zero.

Question 49

True or False: A rectangle is a type of parallelogram.

Answer 49

True

Question 50

What is 15% of 200?

Answer 50

30

Question 51

What is the greatest common factor (GCF) of 12 and 16?

Answer 51

4

Question 52

If the function g(x) = 2x² - 3, what is g(2)?

Answer 52

5