Mathematical Ecuaciones and Problems

Quadratic Equations:

1. 1. Solve for x: 2x^2 - 5x - 3 = 0

• a) x = -1, x = 3

• b) x = -3, x = 1/2

• c) x = 1, x = -3/2

• d) x = 3, x = -1/2

Quadratic Equations:

2. Find the roots of the equation: x^2 - 7x + 10 = 0

• a) x = 2, x = 5

• b) x = 3, x = 7

• c) x = 1, x = 10

• d) x = 5, x = -2

Quadratic Inequality:

1. 1. Solve for x: x^2 - 4x > 3

• a) x < 1, x > 3

• b) x > 1, x < 3

• c) x < -1, x > 4

• d) x > -1, x < 4

Quadratic Inequality:

2. 2. Find the solution set for the inequality: 2x^2 - 7x + 6 < 0

• a) x < 2, x > 3

• b) x > 2, x < 3

• c) x < 1, x > 3

• d) x > 1, x < 3

Average, Median, Mode:

1. 1. Given the set of numbers: {12, 14, 18, 9, 14, 12, 15, 21}, find the mean (average).

• a) 13

• b) 14

• c) 15

• d) 16

Average, Median, Mode:

2. 2. Find the median of the following data set: {24, 18, 15, 32, 28, 21, 27}

• a) 24

• b) 21

• c) 27

• d) 28

Percentages:

1. 1. What is 15% of 240?

• a) 24

• b) 36

• c) 48

• d) 60

Percentages:

2. 2. If a laptop originally costs $800 and is now on sale for 30% off, what is the sale price?

• a) $200

• b) $400

• c) $560

• d) $720

Logarithms:

1. 1. Evaluate log₄(64)

• a) 1

• b) 2

• c) 3

• d) 4

Logarithms:

2. 2. Simplify log₅(125).

• a) 1

• b) 2

• c) 3

• d) 4