Math

Question 1

[Mathematics - Algebra] Solve for x: 2x + 3 = 11

Answer 1

x = 4

Question 2

[Mathematics - Algebra] Simplify: (x + 2)(x - 2)

Answer 2

x² - 4

Question 3

[Mathematics - Algebra] Solve: x² - 5x + 6 = 0

Answer 3

x = 2 or x = 3

Question 4

[Mathematics - Algebra] Factor: x² + 7x + 12

Answer 4

(x + 3)(x + 4)

Question 5

[Mathematics - Algebra] What is the quadratic formula?

Answer 5

x = [-b ± √(b² - 4ac)] / 2a

Question 6

[Mathematics - Algebra] Simplify: (3x² - 2x + 4) - (x² + x - 1)

Answer 6

2x² - 3x + 5

Question 7

[Mathematics - Algebra] What is the slope formula?

Answer 7

m = (y₂ - y₁) / (x₂ - x₁)

Question 8

[Mathematics - Algebra] Solve: 3(x - 1) = 2x + 4

Answer 8

x = 7

Question 9

[Mathematics - Algebra] What is the equation of a line?

Answer 9

y = mx + b

Question 10

[Mathematics - Algebra] What is the difference of squares formula?

Answer 10

a² - b² = (a - b)(a + b)

Question 11

[Mathematics - Geometry] What is the area of a triangle?

Answer 11

A = ½ × base × height

Question 12

[Mathematics - Geometry] What is the area of a circle?

Answer 12

A = πr²

Question 13

[Mathematics - Geometry] What is the circumference of a circle?

Answer 13

C = 2πr

Question 14

[Mathematics - Geometry] Pythagorean Theorem

Answer 14

a² + b² = c²

Question 15

[Mathematics - Geometry] Volume of a rectangular prism?

Answer 15

V = length × width × height

Question 16

[Mathematics - Geometry] Area of a rectangle?

Answer 16

A = length × width

Question 17

[Mathematics - Geometry] What is the sum of angles in a triangle?

Answer 17

180 degrees

Question 18

[Mathematics - Geometry] What is the volume of a cylinder?

Answer 18

V = πr²h

Question 19

[Mathematics - Geometry] What is the surface area of a cube?

Answer 19

A = 6s²

Question 20

[Mathematics - Geometry] What’s the distance formula between two points?

Answer 20

√[(x₂ - x₁)² + (y₂ - y₁)²]

Question 21

[Mathematics - Probability] Probability of a single event formula?

Answer 21

P = favorable outcomes / total outcomes

Question 22

[Mathematics - Probability] What is the probability of flipping two heads in two coin tosses?

Answer 22

1/4

Question 23

[Mathematics - Probability] What is the probability of rolling a 3 on a six-sided die?

Answer 23

1/6

Question 24

[Mathematics - Probability] What is the probability of drawing a heart from a deck of cards?

Answer 24

13/52 or 1/4

Question 25

[Mathematics - Probability] What is the probability of two independent events A and B?

Answer 25

P(A and B) = P(A) × P(B)

Question 26

[Mathematics - Probability] If P(A) = 0.6 and P(B) = 0.5, what is P(A and B)?

Answer 26

0.3

Question 27

[Mathematics - Probability] What is the probability of at least one heads in two coin tosses?

Answer 27

3/4

Question 28

[Mathematics - Probability] How many outcomes when flipping 3 coins?

Answer 28

8

Question 29

[Mathematics - Probability] Formula for permutations (nPr)?

Answer 29

n! / (n - r)!

Question 30

[Mathematics - Probability] Formula for combinations (nCr)?

Answer 30

n! / [r!(n - r)!]

Question 31

[Mathematics - Statistics] What is the mean?

Answer 31

Average: sum of values ÷ number of values

Question 32

[Mathematics - Statistics] What is the median?

Answer 32

Middle value when data is sorted

Question 33

[Mathematics - Statistics] What is the mode?

Answer 33

Most frequent value

Question 34

[Mathematics - Statistics] What is the range?

Answer 34

Max - Min

Question 35

[Mathematics - Statistics] Formula for standard deviation?

Answer 35

√[Σ(x - μ)² / N]

Question 36

[Mathematics - Statistics] If data = 2, 3, 4, 4, 5, what is the mean?

Answer 36

3.6

Question 37

[Mathematics - Statistics] What is the median of 1, 3, 5, 7, 9?

Answer 37

5

Question 38

[Mathematics - Statistics] What is the mode of 2, 2, 3, 3, 3, 4?

Answer 38

3

Question 39

[Mathematics - Statistics] What does a high standard deviation mean?

Answer 39

Data is spread out

Question 40

[Mathematics - Statistics] What is an outlier?

Answer 40

Value significantly higher/lower than others