Sequences
Which kind of sequence has a common difference?
a) Arithmetic
b) Geometric
Arithmetic
What does the "b" stand for in y=mx+b?
y-intercept
(3n + 15)/2 = -30
n = -25
What is another word for zeros?
a) y-intercepts b) roots
c) vertex d) axis of symmetry
b) roots
What is the formula used to solve for the hypotenuse?
a2 + b2 = c2
What is the common difference:
-6, -1, 4, 9...
5
Sally has 100 golf balls in a container. Every hour, she removes 3 balls to take with her to the putting green. The relationship between hours and golf balls in the container is _____________.
a) discrete b) continuous
a) discrete
5x + 10y = 30
y = 3 - 0.5x
Which answer choice describes y = -3x2 +7x - 2 accurately?
a) opens up with a maximum
b) opens up with a minimum
c) opens down with a maximum
d) opens down with a minimum
c) opens down with a maximum
What is the midpoint between (3, -1) and (7, -5)
(5, -3)
Write the first 5 terms represented by the equation f(x)=3x+2
5, 8, 11, 14, 17
Identify the y-intercept of the function f(x)=2(4)x
2
3x - 10 = 2(x + 6)
x = 22
What does "a" control in a graph of f(x) = ax2+ bx+ c?
a) Opens up or down
b) Where the graph crosses at X-intercept
c) Where the graph crosses at Y-intercept
a) Opens up or down
What is the equation of a line that is perpendicular to this line (y = 3x + 2) and goes through the given point (3, -4)?
y = -1/3x - 3
Find the 10th term of this sequence:
{96, 48, 24, 12, ... }
3/16
Sam joins a chocolate club for $22. He pays $0.35 per ounce of chocolate after he has paid the membership fee. What function represents this situation?
f(x) = 0.35x +22
-4(x - 2) + 5 < 9
x >1
What is the y intercept for the equation:
y = -8x2 + 3x - 7
(0, -7)
What is the equation of a line parallel to the following line y = -4x + 6 that passes through the given point (2, -1)?
y = -4x + 7
Write the explicit and recursive equations for the sequence.
2, -4, -10, -16,.......
f (n) = -6(n -1) + 2
f (n) = f(n - 1) - 6, f(1) = 2
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
ou are mowing lawns to earn money to buy a new video game system, which costs $500. You plan to save every dollar you earn. In addition, you want to be able to afford the accessories for the video game system (e.g., controllers, games). You already have $150. You charge $9.50 per hour. Write an inequality to show how many hours you need to work before you have enough money to purchase the video game system and its accessories.
150 + 9.50x > 500
x > 36.8
What is the axis of symmetry for the following equation?
y = 4x2 - 8x + 9
x = 1
Prove that the quadrilateral ABCD with vertices A(-2, 2), B(4, 2), C(2, -2) and D(-4, -2) is a parallelogram. Provide an algebraic argument for your claim.
Slope of AB = 0; slope of CD = 0
Slope of AD = 2; slope of BC = 2
Since opposite sides of the quadrilateral are parallel, quadrilateral is a parallelogram.