Algebraic Functions and Equations

This video tutorial covers six lessons focused on the SAT math section, including algebra, solving equations, evaluating functions, and converting sentences into equations. It provides a comprehensive review of key concepts and multiple-choice problems to enhance understanding and performance in the SAT math section.

What is the result of multiplying x^3 by x^4?

• x^9

• x^7

• x^1

• x^12

If you have the equation x^2 - 9x + 20 = 0, what are the factors?

• (x - 2)(x - 10)

• (x + 4)(x + 5)

• (x - 4)(x - 5)

• (x + 2)(x + 10)

How would you solve for x in the equation 5 + 2/x = 1?

• Add 2 to both sides

• Subtract 5 from both sides

• Divide both sides by 2

• Multiply both sides by x

What is the value of f(g(2)) if f(x) = 2x + 1 and g(x) = x^2?

• 11

• 5

• 9

• 7

What is the factored form of the expression x^2 - 3x - 10?

• (x - 3)(x + 3)

• (x - 2)(x + 5)

• (x + 2)(x - 5)

• (x + 3)(x - 3)

If 4x - 5y = 6, what is the value of 16x^2 - 40xy + 25y^2?

• 49

• 64

• 25

• 36

Which of the following is equivalent to the square root of x raised to the fifth power?

• x^(5/3)

• x^(1/2) * x^5

• x^(2.5)

• x^(5/2)

If the function h(x) is defined as 7x + 25, and the square root of h(b/4) equals 9, what is the value of b?

• 64

• 16

• 32

• 81

What is the value of x if 5 more than three times a number is 15 less than that number?

• 15

• -10

• 5

• 10

How would you express 'five more than twice the value of y' as an equation?

• 5 + 2y

• y + 5

• 5y + 2

• 2y + 5