Solving Equations
Solve the following equation:
-5(x - 3) = -25
x = 8
Is this relation a function?
{(5, –4), (3, –5), (4, –3), (6, 4)}
Yes
Find the slope between these points:
(-5, 6) and (-2, 3)
m = -1
Classify the following polynomial by degree and number of terms:
6x^3 - 5x^2 + 7
Cubic Trinomial
Classify the following polynomial by degree and number of terms:
6
Constant Monomial
Solve the following equation:
22p + 11 = 4p -7
p = -1
Using the function g(x) = 3x - 7, evaluate g(x) = 11
x = 6
Identify the point and the slope in this equation:
y + 7 = -2/3(x - 5)
point: (5, -7), m = -2/3
Add the following polynomials: (See board)
5x^2 - 2x
Zack’s Car Rental payment plan is represented by the function C(d) = 15d + 50 represents the total charge C is a function of the number of days d you rent the car. Is this a continuous or discrete situation?
Discrete
Solve the following equation:
14 + 3n = 8n + 3(n – 4)
n = 3.25
What is the difference between linear and non-linear functions?
Linear functions have a constant rate of change; non-linear functions do not.
Find the x- and y-intercepts of the following equation:
2x - 3y = 18
x-int: (9, 0) ; y-int: (0, -6)
Subtract the following polynomials: (See board)
-10c^3 - c^2 - 9c - 7
A paint store sells exterior paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for the number of gallons p of paint and rollers r that a customer could buy with $190.
35.75p + 6r = 190
Solve the following equation:
(2n + 1)/(n + 2) = 5/4
n = 2
What are the Domain and Range of the following graph? (See graph on board)
D: (-inf, 2) ; R: (-inf, 0)
Write the equation that passes through these 2 points in slope-intercept form.
(9, -1) and (10, 2)
y = 3x - 28
Add the following polynomials: (See board)
6m^3 + m + 4
Write the equation of the graphed line in slope-intercept form. (See graph on board)
y = -3x - 2
Solve the following equation for y:
x + py = q
y = (q - x)/p
Let C(t) = 30t where C(t) = the cost of Erin and Gina’s t-shirt purchase of t amount of t-shirts. What does C(10) = 300 mean in the context of the situation?
If Erin and Gina buy 10 shirts, then their cost is $300.
Write the equation of a line that is perpendicular to y = 4x - 3 and passes through the (-4, 2)
y = -1/4x + 1
Subtract the following polynomials: (See board)
-t^2 + 10t + 11
A movie club charges a one-time membership fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?
5 movies