Linear Functions and Quadratic Equations

The video tutorial covers solving systems of equations, understanding slope and y-intercept, solving proportions using graphing, calculating the perimeter of a triangle, identifying functions and determining domain, finding range and calculating slope from points, and solving quadratic equations using graphing and the quadratic formula.

What is the value of x if (x, 1) is a solution to the system of equations y = x - 3 and y = x + 5?

• x = 5

• x = 2

• x = 3

• x = 4

What is the slope of the line given by the equation y = -2x + 5?

• -2

• 2

• 5

• -5

How do you solve the proportion 24(2x + 1) = 72(2x - 1) using a graphing calculator?

• Graph both sides and find the intersection

• Cross-multiply and solve algebraically

• Use the quadratic formula

• Substitute values until both sides are equal

What is the perimeter of a triangle with sides 2x - 1, x + 3, and 3x - 4?

• 6x - 2

• 5x + 2

• 7x - 1

• 4x + 3

What is the domain of a function that starts at x = -3 and ends at x = 5, with a closed circle at -3 and an open circle at 5?

• (-3, 5]

• [-3, 5)

• (-3, 5)

• [-3, 5]

Using stat edit, what is the slope of the line through the points (-3, 5) and (-1, 2)?

• -2

• 1.5

• -1.5

• 2

What are the x-intercepts of the quadratic equation x^2 - x - 20?

• 5 and -4

• -4 and 5

• 4 and -5

• -5 and 4

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

• 2x^2 - 2x

• 2x^2 + 2x

• 4x^2 - 2x

• 4x^2 + 2x