Algebra 1
y=mx+b
Solve the system of equations (find x and y):
2x-y = 11
x+5y = 11
x=6, y=1
Is a 37° angle obtuse, acute, right, or straight?
acute
When taking the √-1, what does the number i stand for?
imaginary
When is l'hôpital's rule used?
What is the y-intercept of 3x-2y = 6?
-3
Combine like terms:
(4 + 2i) + (-3 - 3i) + (-3 + i)
-2
What is a ray?
A line with one endpoint, but can be extended indefinitely in the other direction.
Using a fraction express the probability of rolling the same number twice in a row on an eight-sided die?
1/64
Given that f'(x) is positive and f''(x) > 0, is f(x) concave up or down?
concave up
Solve for x in 2x/3 + 1 = 5
x = 6
Find the leg : hypotenuse ratio of a 45°- 45°- 90° triangle
x : √2x
What is the area formula of a trapezoid?
A = h(l1+l2)/2
At what angle does cosine equal pi/4?
45°
Using the unit circle, what are the coordinate and radian equivalents of 315°?
Coordinate: (√2/2, -√2/2)
Radian: 7pi/4
Solve for the inequality
4x-1 < 3x+6
x < 7
Find the inverse of
y = log(x+4)
10x - 4 = y
What does the abbreviation "AAA" stand for in the AAA theorem?
angle-angle-angle
Which graph (sine or cosine) intersects with the origin?
sine
In a strictly decreasing function, will the approximation by a left Riemann sum be greater than or less than the function's true area?
greater than
Solve for x in the equation
2(x+5)-3(x-2) = 4
12
Decide whether the sequence is geometric, arithmetic, or neither. Give the corresponding common difference or common ratio.
2, 4, 8, 16, 32, ...
Geometric
(common ratio) r = 2
Name the theorem that states: "When two parallel lines are cut by a transversal then resulting alternate exterior angles are congruent".
alternate exterior angles theorem
How can you tell the difference between an ellipses's major vs. minor radius?
minor = shorter radius
When looking at a graphed function, what are 3 ways you can tell it is not continuous?
1. Discontinuous (breaks in the graph)
2. Cusp/Corner
3. Vertical Asymptote (undefined slope)