Geometry and Algebra Concepts

This video tutorial covers a range of math topics, including solving linear and quadratic equations, graphing using slope-intercept form, and basic trigonometry. It provides step-by-step solutions to various problems, encouraging viewers to pause and solve before revealing the answers. The tutorial also includes practical applications through word problems, enhancing problem-solving skills.

What is the value of x if 3x/4 + 5 = 11?

• x = 8

• x = 6

• x = 4

• x = 10

If the area of a square is 36, what is its perimeter?

• 36

• 18

• 24

• 30

In a right triangle with angles 45°, 45°, and 90°, if one leg is x, what is the length of the hypotenuse?

• x

• x√2

• 2x

• x/2

If sine of angle Z is -7/25 and tangent Z is negative, what is cosine Z?

• -24/25

• -7/25

• 24/25

• 7/25

Sarah's average score after 6 tests is 85. If she scores 99 on her next test, what is her new average?

• 86

• 87

• 88

• 89

What is the result of raising x squared to the third power?

• x to the eighth

• x to the fifth

• x to the sixth

• x to the seventh

If r is an integer greater than 9 and less than or equal to 100, what is the sum of the largest and smallest possible values of r?

• 109

• 112

• 110

• 111

What is the standard form of the equation of a circle with center (h, k) and radius r?

• (x - h)^2 + (y - k)^2 = r^2

• (x - h)^2 + (y + k)^2 = r^2

• (x + h)^2 + (y + k)^2 = r^2

• (x + h)^2 + (y - k)^2 = r^2

After a 15% discount, a laptop costs $255. What was the original price before the discount?

• $315

• $300

• $280

• $270

If a car travels 35 miles in 40 minutes, how many hours will it take to travel 245 miles?

• 3.5 hours

• 3 hours

• 4 hours

• 4.5 hours