Geometry and Algebra Problem Set

This video tutorial covers basic strategies for solving math problems on the SAT exam. It begins with solving equations by isolating variables and using cross multiplication. The tutorial then demonstrates techniques for efficiently tackling multiple choice questions. It also includes geometry problems, such as calculating the area of a square using the Pythagorean theorem and finding the area of a right triangle. The video emphasizes the importance of drawing diagrams and using known formulas to solve geometry problems.

If 5x + 8 = 23, what is the value of 7x - 4?

• 15

• 16

• 17

• 18

What is the value of x if 5x + 8 = 23?

• 3

• 2

• 4

• 5

In the equation 60/y + 8 = 15/y - 1, what is the value of 5y/4 when y is found?

• 4

• 6

• 3

• 5

How do you solve for y in the equation 60/y + 8 = 15/y - 1?

• Divide both sides by y

• Subtract fractions

• Cross-multiply

• Add fractions

Which value of x satisfies the equation (x + 5)^2 = (x - 1)^2?

• 3

• -1

• 4

• -2

What is the area of a square with a diagonal length of 14?

• 98

• 196

• 49

• 28

What is the square root of 98?

• 14

• √98

• 7√2

• 49

In a right triangle with angles 45°, 45°, and 90°, if one leg is 10, what is the area?

• 75

• 50

• 25

• 100

What is the hypotenuse of a right triangle with legs of length 10?

• 10√2

• 5√2

• 15

• 20

What is the area of a triangle with base 10 and height 10?

• 25

• 50

• 100

• 75