Polynomial Operations and Linear Equations

The video tutorial covers various algebraic concepts, including operations with polynomials, graphing linear equations, solving quadratic equations, solving proportions, and understanding exponential functions. It provides step-by-step instructions and examples to help students grasp these mathematical concepts effectively.

What is the result of adding the polynomials 6x^2 - 3 and 5x^2 + x + 11?

• 11x^2 + x - 8

• 11x^2 + x + 8

• 11x^2 + x - 7

• 11x^2 + x + 14

When subtracting the polynomial 5x^2 + x + 11 from 6x^2 - 3, what is the resulting polynomial?

• x^2 - x - 14

• x^2 + x - 14

• x^2 - x - 29

• x^2 + x - 29

What is the slope of the line represented by the equation y - 1 = 3(x + 2)?

• 4

• 3

• 2

• 1

In the equation y = 3x + 7, what is the y-intercept?

• 0

• 1

• 7

• 3

What is one solution to the quadratic equation 2x^2 + 5x + 2 = 0?

• x = -2

• x = -1/2

• x = 2

• x = 1/2

Which method is used to solve the quadratic equation 2x^2 + 5x + 2 = 0 in the video?

• Quadratic formula

• Graphing

• Completing the square

• Factoring

How do you solve the proportion a/b = c/d?

• Cross-multiply

• Add a and b

• Subtract b from d

• Divide a by c

What is the solution to the proportion 3(n - 10) = 9(n + 3)?

• n = -10

• n = 5

• n = -5

• n = 10

How do you isolate a variable in an equation?

• Add the variable to both sides

• Use inverse operations

• Multiply all terms by zero

• Divide by the variable

In the equation 5x = 2l + B, what is x in terms of l and B?

• x = 5/(2l + B)

• x = (2l + B)/5

• x = 2l - B

• x = 5l + B