Solving Equations and Variables

The video tutorial explains how Raven builds a quadratic equation from a table of values. It guides through isolating variables, substituting them into another equation, and solving for the unknowns a and b. The process involves algebraic manipulation, including isolating variables, substituting, and solving equations to find the values of a and b, which are 1 and 4, respectively.

What is the standard form of a quadratic equation?

• ax^2 + bx + c = 0

• ax^2 + bx = 0

• ax^2 + c = 0

• ax + b = 0

Which variable is isolated first in the problem?

• a

• b

• c

• x

What operation is used to isolate the variable 'a'?

• Addition

• Subtraction

• Multiplication

• Division

What is the next step after isolating 'a' in the first equation?

• Solve for b

• Substitute into the same equation

• Substitute into the second equation

• Solve for c

What is the result of distributing 4 in the equation 4 = 4(b + 3) + 2b?

• 4b + 12 + 2b

• 4b + 6 + 2b

• 4b + 3 + 2b

• 4b + 9 + 2b

What is the value of B after solving the equation?

• 2

• 5

• 4

• 3

What operation is performed to solve for B after combining like terms?

• Division

• Subtraction

• Addition

• Multiplication

What equation is used to find the value of A after B is known?

• a = b + 3

• a = 3 - b

• a = 3b

• a = b - 3

What is the final value of A?

• 0

• 2

• 1

• -1

What are the final values of A and B?

• A = 1, B = 4

• A = -1, B = 4

• A = 0, B = 3

• A = 2, B = 5