Mathematical Problem Solving Techniques

The video covers chapter nine homework questions, focusing on solving systems of equations, quadratic equations, and finding rules for patterns. It also includes solving various equations, comparing line steepness, and calculating interest on a purchase.

What is the first step in solving a system of equations?

• Define the variables

• Add the equations

• Multiply the equations

• Ignore the variables

If Darya has 13 nickels, how many quarters does she have?

• 8

• 10

• 3

• 5

Which method is used to solve the quadratic equation 10,000x^2 - 64 = 0?

• Completing the square

• Graphing

• Factoring

• Substitution

What are the solutions for the equation 9x^2 - 8 = -34x?

• x = 0.08, x = -0.08

• x = 4, x = -2/9

• x = 2/9, x = -4

• x = 1, x = -1

What is the result of using the quadratic formula on 2x^2 - 4x + 7 = 0?

• Infinite solutions

• Two real solutions

• No real solutions

• One real solution

How do you determine the number of tiles in figure X of the tile pattern?

• Count each tile individually

• Multiply the figure number by 2

• Use the formula x^2 + 4x + 3

• Add 10 to the figure number

What is the simplified expression for the tile pattern rule?

• x^2 + 3x + 2

• x^2 + 2x + 1

• x^2 + 4x + 3

• x^2 + 5x + 4

What happens when solving 3x^2 + 3x = 6 + 3x^2?

• The equation becomes quadratic

• The x^2 terms cancel out

• The equation has no solution

• The equation becomes complex

What is the solution for 5/x = 1/3?

• x = 3

• x = 5

• x = 15

• x = 1

What is the slope of line L if it passes through points (42, -44) and (94, -31)?

• 3

• 4

• 5

• 6