Algebra 1
3x-7=14
7
720 degrees
(2x9)/y6
Evaluate sin(7pi/6) without a calculator.
-1/2
What is the limit of x2+3x-1 as x approaches 2?
9
Find the slope of the line passing through points (2,5) and (6,13)
m=2
Find the length of the hypotenuse of a right triangle with legs of length 6 and 8
10. Extra good if you used the pythagorean triple short cut
Solve for x: log3(x+2)=4
x=79
State the domain and range of the function:
f(x)=sqrt(x-4)+2 in interval notation.
Domain: [4,infinity)
Range: [2,infinity)
A particle moves from the point (5,3) to (7,1), find the average rate of change.
Average rate of change: -1
Factor completely: x2-9x+20
(x-5)(x-4)
Two similar triangles have side lengths in a ratio of 3 : 5. If the smaller triangle has an area of 18 square units, what is the area of the larger triangle?
50 square units
Find all real and complex zeros of f(x)=x3-3x2+4x-12
x=3, x=2i, x=-2i
Finish the following trig identity: Sin2(x) + Cos2(x) =
1
Find the derivative of 5x3-4x+7
15x2-4
Write the equation of the line in point slope for that passes through (3,-2) with a slope of -1/2
y+2=(-1/2)(x-3)
Find the equation of the circle in standard form centered at (-4,1) with a radius of 5
(x+4)2+(y-1)2=25
Simplify the rational expression completely and state any domain restrictions. (x2-16)/(x2-2x-8)
(x+4)/(x+2)
3pi/4 and 5pi/4
What is the antiderivative of 6x2+2
2x3+2x+C
2x+3y=12
x-y=1
x=3, y=2
An isosceles right triangle in inscribed in a circle with a radius of 4. What is the area of the region inside the circle but outside the triangle?
16pi-16 square units
What is the vertex of 2x2-12x+11? List the x and y coordinates.
Vertex: (3,-7)
Find all solutions to 2cos2(x)-cos(x)-1=0
On the interval [0,2pi). Hint: there are 3 answers
x=0
x=2pi/3
x=4pi/3
Instantaneous rate of change is the definition of what word?
The Derivative!