Solving Algebraic Equations and Functions

This video is the first part of a series focused on preparing for the SAT Math section. It covers evaluating functions and solving equations, with detailed examples and step-by-step solutions. The instructor provides guidance on substituting expressions and using cross multiplication to solve equations. Viewers are encouraged to pause and try solving problems independently before reviewing the solutions. The video concludes with a call to subscribe for more content and a preview of future topics like trigonometry and geometry.

What is the main focus of this video tutorial?

• SAT Reading Section

• SAT Science Section

• SAT Math Section

• SAT Writing Section

If g(x) = 5x^2 - 4x + 2x^3, what is g(3)?

• 81

• 87

• 90

• 93

In the function h(x), if h(3) = 26, what is the value of h(-3)?

• -4

• 4

• 0

• 26

What is the equivalent expression for r(-4x) if r(x) = 3x^2 + 4x - 3?

• 48x^2 - 16x - 3

• 48x^2 + 16x + 3

• 48x^2 - 16x + 3

• 48x^2 + 16x - 3

If the point (2, 7) lies on the graph of g(x) = 6/x + c, what is the value of c?

• 2

• 5

• 3

• 4

What is the value of g(5) if g(x+2) = x^2 - 3x + 7?

• 6

• 5

• 8

• 7

Solve for y: 3(y + 4) + 5(2y - 3) = 10y + 3.

• 1

• 4

• 2

• 3

If 4x + 7 = 31, what is the value of 5x - 8?

• 22

• 24

• 26

• 20

Given 2/(4x - 9) = 3/(x + 4), what is the value of x?

• 4

• 7

• 5

• 6

What is the value of 12/x + 3 if x = 6?

• 4

• 7

• 5

• 6