Algebra Review
Expand (do not solve) this equation:
(2x-3)2
What is
4x2-12x+9
Solve for x:
-6x-8=-26
What is x = 3?
MR co. manufactures & sells desks, and is trying to anticipate future revenue of a new product -- Desk Prime. Based on internal data, MR co. estimates they will sell 1.2k units, and they plan to sell each Desk Prime for $75.
Estimated future revenue of MR co.'s Desk Prime is $_____.
What is $90,000?
R = q*p
Where q=1,200 & p=$75.
Find the location of the extrema of the function f(t).
f(t) = 3t2-12t+9
What is x=2?
Evaluate the limit as x-->2 for the expression:
g(x) = 3x2-5x+2
What is 4?
Simplify this expression:
6-2x2+25
34
Solve for x:
-3 + 2(x+4) = 25
What is x = 10?
ABC Co. manufactures and produces pens. It costs ABC Co. $3 to produce each pen. ABC Co. rents their pen-manufacturing equipment from ZYX LLC. ABC Co. pays ZYX LLC. a flat fee of $250, regardless of how many pens ABC Co. produces.
The total cost of producing 100 pens is $______.
What is $550?
C = q*p + F
Where q=100, p=3, & F=250.
Find the location of the min/max of the function g(t).
g(t)=-5x2+11
What is 0?
Evaluate the function at the limit given:
lim x-->5- , f(x) = 3/(x-5)
What is negative infinity?
Evaluate the following when a=-3 b=-4
(3a+2b)/2
What is -17/2?
Solve for x:
4-(x+2) = 2x + 3(x-8)
What is x=13/3?
LMN Corp. provides tutoring services to students. Their operating costs include paying the wages of their tutors, who make $16/hr, and a flat fee of $400 for the space they operate in. The budget for the tutoring service during Winter Term 2024 was $19,600, and was fully spent.
The amount of hours worked during Winter Term 2024 by tutors is _____.
What is 1,200 hours?
Find the location & value of the min/max of the function h(k).
h(k)=x2-4x
What is (2, -4)?
Evaluate the function at the given limit:
lim z-->0 , z(t)= (t2-1)/(t2+1)
What is -1?
Distribute & simplify this expression:
(36a3bc2)/(24ab4c2)
What is (3a2/2b3)?
Solve for x:
(2/5)(15-10x)-(3/8)(24-16x)=(4/3)(3x-21)
What is x=(25/2)?
GLO LLC. produces and sells backpacks. During August 2025, GLO LLC. produced 1,200 backpacks at a unit price of $4/backpack, and reported the total cost of backpack production as $15,000.
The fixed cost of GLO LLC.'s August 2025 production was $_____.
What is $10,200?
Find the value of the max/min of the function y(x).
y(x) = x2-10x+21
What is -4?
Evaluate the function at the given limit:
lim y--> (-) infinity , x(y) = (x3-2x)/(4x2+1)
What is DNE?
Or (+) infinity
Factor this expression:
7x2+14x-21
What is
7(x+3)(x-1)?
Solve for x:
(1/4)(x-3)+(2/3)(6x+4) = -2
What is x = -47/51?
RZA Co. manufactures and sells the iLaptop. Producing one iLaptop costs RZA Co. $25, and RZA Co. sells each iLaptop for $100. RZA Co. also pays a $1875 flat-fee for the equipment they use to make the iLaptops. Assume that RZA Co. sells all of the iLaptops they produce.
The quantity of iLaptops made/sold in order to reach market equilibrium is ______.
What is 25 iLaptops?
Find the vertex of the function h(x).
h(x)=3(x-2)2+7
What is (2,7)?
Evaluate the function at the given limit:
lim h--> (+) infinity , g(h) = (h2-5h)/(5h3-2)
What is 0?