Solving Linear Equations and Methods

The video tutorial explains how to solve quadratic equations by factoring using the bottoms up method. It begins with multiplying the coefficients a and c, then finding two numbers that multiply to the product and add to the middle term. The expression is factored, and each factor is divided by a. If division doesn't yield a whole number, the bottoms up method is applied. Finally, each factor is set to zero to solve for x, providing the solutions to the equation.

What method is being taught in the video?

• Top-Down Method

• Diagonal Method

• Bottoms Up Method

• Sideways Method

What do you multiply in the first step of the Bottoms Up method?

• a and b

• a and c

• a and d

• b and c

What is the product of 3 and -4 in the example?

• 7

• -12

• 12

• -7

Which two numbers multiply to -12 and add to -1?

• -3 and 4

• -4 and 3

• 2 and -6

• 6 and -2

What do you do after writing the factors in factored form?

• Subtract 'a'

• Add 'a'

• Divide by 'a'

• Multiply by 'a'

What happens if the division of a factor by 'a' does not result in a whole number?

• Use the Top-Down method

• Use the Sideways method

• Use the Diagonal method

• Use the Bottoms Up method

What is the adjusted factor form of 3x - 4?

• 3x + 1

• x - 4

• 3x - 4

• x + 3

What is the first step in solving 3x - 4 = 0?

• Divide both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 3

What are the two solutions for x in the example?

• 4/3 and -1

• 3 and -4

• 1 and -4

• 4 and -1