Graphing and Solving Equations

This video tutorial covers key algebra topics for final exam preparation. It begins with solving binomials using the FOIL method, followed by finding differences in polynomials. The tutorial then explains how to calculate the slope between two points and applies the order of operations using PEMDAS. Various factoring techniques are demonstrated, including the difference of squares and trinomials. The video also covers solving equations and graphing linear equations, emphasizing finding x and y intercepts.

What is the result of multiplying the binomials (3x + 5) and (4x - 7) using the FOIL method?

• 12x^2 + 8x - 35

• 12x^2 - x - 35

• 12x^2 - 8x + 35

• 12x^2 + 35x - 35

How do you find the slope of a line passing through the points (3, -5) and (-9, -1)?

• Subtract the x-coordinates from the y-coordinates

• Use the formula (y2 - y1) / (x2 - x1)

• Add the x-coordinates and y-coordinates

• Multiply the x-coordinates and y-coordinates

What is the simplified form of the expression (2x^3y^4)^3?

• 8x^9y^12

• 6x^9y^8

• 6x^6y^8

• 8x^6y^12

Which of the following is a factor of the expression 9x^2 - 64?

• (9x + 4)(x - 4)

• (9x + 8)(x - 8)

• (3x + 4)(3x - 4)

• (3x + 8)(3x - 8)

How do you factor the expression 6x^2 + x - 15?

• (2x + 5)(3x - 3)

• (3x + 5)(2x - 3)

• (3x - 5)(2x + 3)

• (2x - 5)(3x + 3)

What is the solution to the equation 6x^2 - 29x + 28 = 0 using the quadratic formula?

• x = 2/3 and x = 4/7

• x = 3/2 and x = 7/4

• x = 3/4 and x = 2/7

• x = 4/3 and x = 7/2

How do you graph the equation x = 2?

• Draw a horizontal line at y = 2

• Draw a vertical line at x = 2

• Draw a diagonal line through the origin

• Draw a circle centered at (2, 0)

What is the perimeter of a rectangle with a length 4 more than its width and an area of 60 square feet?

• 28 feet

• 30 feet

• 32 feet

• 34 feet

Which method is used to solve the system of equations: 7x + 2y = 24 and 5x - 3y = -5?

• Substitution

• Graphing

• Factoring

• Elimination

What is the y-intercept of the line with the equation y = 2x - 3?

• (-3, 0)

• (2, 0)

• (0, -3)

• (0, 2)