Algebra
Simplify
x3+2xy+2y2-x(3x2-y)+y(y2-5y)
-2x3+y3+3xy-3y2
If f(x)=3x+11 and g(x)=x2-2, what is f(g(3))
32
Is the vertex of the graph
y=-2(x-4)2+3 a maximum or a minimum?
Maximum
True or False? Dividing by 0 results in an irrational number.
False, dividing by 0 is undefined
Factor
x2+x-12
(x-3)(x+4)
What is the FEWEST number of zeros a CUBIC function can have?
1
In triangle ABC, angle A is 50 degrees. What is the sum of angle B and C?
130 degrees
Simplify
(x3y4)2
x6y8
Find the Inverse
y=(x-2)3
y=3√ x + 2
Solve for x (Leave answer in log form)
5x=10
x=1/log(5)
True or False? If two triangles are similar, they need to be congruent.
False
During one portion of a car trip, a car traveled at a constant speed of 𝑠 miles per hour. The car covered 175 miles and this portion of the trip took 3 hours. Write an equation that can be solved to find the speed of the car.
3s=175 or s=175/3
Solve the System of Equations
2x+y=11
x-3y=-12
(3,5)
What is the 4th term of the sequence
f(1)=4, f(n)=f(n-1)+7
25
If sin(30)=1/2, for what angle θ is cos(θ)=1/2?
θ=60 degrees
Sarah gets a job for which she is given a $1000 signing bonus and $20 per hour. Write an equation that describes her total earnings 𝐸 after working 𝑛 hours.
E=20n+1000
Factor
2x2+5x-12
Explicit Form
10, 20, 40, 80
10(2)n-1
What is the center and radius for
(x+1)2+(y-3)2=49
Vertex : (-1,3)
Radius : 7
True or False?
The equation √(3x+2)+8=0 has one real solution.
False.