Algebra and Functions
Solve
1/(x-3)+1/(x+3)=10/(x2-9)
x=5
GH has endpoints at G(4, 7) and H(2, 3). Find the midpoint M of GH.
(3,5)
If the absolute value of x is 5, what could x be?
5 or -5
Two coins are tossed, find the probability that two heads are obtained.
P(E)=1/4
Solve the inequality for y:
2y - 4x < 6
Write down the equation of a circle with diameter 16 and center (-4,7).
(x+4)2+(y-7)2=64
If the integer lengths of the three sides of a triangle are 6, and 8 and the hypothenuse has a length of x, what is the length of x?
10
What is 46% of 50?
23
What is the probability of rolling an even number on a die?
P(E) = 3/6 = 1/2
Solve:
3x+ 2(x-1) = 3x + 2x -3
No solution
Simplify: -3 + 2(5-7)2
5
What is sin 3π/2 ?
-1
Solve (x4)(x12)
x16
The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?
P(E)=70/200=.35
Simplify:
(4x3+2x2-8x) - ( 2x3 + x2 + 8x)
2x3 +x2 - 16x
Compute and simplify
lim(x->3) 5x2-8x-13/(x2-5)
2
What is cot x in terms of the coordinates in the unit circle?
X/y
What is 15% of 540?
81
How many different ways can you choose 3 books from the 8 books on a shelf?
24
Simplify: (4x3 + 2x2 -8x)/2x
2x2 + x - 4
Simplify: (6a4 bc2)(7a4 b3 c)
42 a8 b4 c3
What is
sin 45 - cos 45 + sin 90
1
If a pair of jeans is normally $80 and they are on sale for 25% off, how much will they be?
$60
What is the probability of randomly pulling a J, Q or K from a deck of cards?
12/52 = 3/13
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?
9 years old