Word Problems
The cost of building a house increases to 15 percent every year. If it costs $60,000 to build a house one year, what would it cost to build the house the next year?
$69,000
3(11/15) of what number is 8(2/5)
9/4
Determine between what two consecutive integers
sqrt40 lies
6 and 7
Write in scientific notation:
a) 0.0879 x 10^5
b) 563,000 x 10^-6
a) 8.79 x 10^3 and b) 5.63 x 10^-1
Solve:
(-2)^3-2^3=-2(3a-4)
4
A fair coin is tossed 5 times and comes up heads 3 times and tails 2 times. What is the probability it will come up tails if tossed one more time?
1/2
Simplify:
(a^2/b)/(b/(a+c)
(a^3+a^2c)/b^2
Simplify:
sqrt400
20
Factor
x^2-6x-55
(x-11)(x+5)
(3x+2)(5x-1)
15x^2-7x-2
True or False:
Naturals subsets of Irrationals
Integers are subsets of Rationals
a)False
b)True
A box contains 3 black and 7 blue pens. A pen is drawn at random and not replaced. The second pen is drawn. What is the probability that both pens are blue?
14/30
Add: a/(xy)-b/(xy^2)+c/(x^2y)-d/(x^2y^2)
(axy-bx+cy-d)/(x^2y^2)
Evaluate if 5x+6=2x and y =
-sqrt4 ; x^2-xy-|x+2y|-(-y^2)
-2
Factor: 16x+2x^2+30
2(x+3)(x+5)
(5x^-2y^5)^-2xy
x^5/(25y^9)
Solve by Substitution:
x+3y=-5
2x+y=5
(4,-3)
If a number is multiplied by 9 and this produce is increased by 42, the result is 86 greater than twice the opposite of the number. Find the number.
4
(2x^-1+yx^-2)/(x^-1y^3)
(2x+y)/(xy^3)
5sqrt(20) -6sqrt(32)-sqrt(45)
7sqrt(5) -24sqrt(2)
x^2(m+n)+6x(m+n)+9(m+n)
(m+n)(x+3)(x+3)
(x^-2y^-3(p^0)^2)/(x^3y^2p^4)^-2
x^4yp^8
Solve by Elimination:
5x-2y=3
2x-3y=-1
(1,1)