Factoring Polynomials
x2-2x+1
(x-1)2
1/(x+1) + 1/(x+2)
(2x+3)/(x+1)(x+2)
What is the x and y intercept of y=4x+5?
y=5, x=-5/4
2x=x+1
x=1
One number is 4 more than 3 times another number. Their sum is 12. What are the numbers?
2 and 10
(2x+3)(x+3)
[(2/x2+2x+1)((x+1)/3)] + 1/(3x+3)
1/(x+1)
What is the midpoint of (2,-1) and (4,3)
(3,1)
(1/x+3)+2=(4/x+3)
x=-5/3
A theme park charges $100 per ticket. The park costs $4000 a day to run, and spends $400 a day on repairs. How much does the park make if 70 people buy tickets?
9x2+12x+9
(3x+2)2
What is your SIL's major?
Math/Secondary Education
What is the distance between (2,4) and (10,10)?
10
(5/x2+3x+2)=(1/x+2)+(3/x+1)
x=-1/2
It takes one person 2 hours to drive to work. It takes another person in an older car 3 hours. If the older cars drives 10 mph slower, how fast are the cars?
The old car has an average speed of 20 mph, the new one has an average speed of 30 mph
x3-8
(x-2)(x2+2x+4)
(2x+3)/[1/(x+1) + 3/(x+3)]
(x+1)(x+3)/2
What is the slope of the line passing through (5,2) and (1,4)?
-1/2
(x/6)+(2x/3)=(1/4)+(3x/2)
x=-3/8
What is one class your SIL is taking this quarter?
EDS/Urban Education, Geometry, Numerical Analysis/Linear Algebra, and Linguistics (any of these would be correct)
x5-64x
x(x2-8)(x2+8)
[x/2 + 3/(x+5)]/((x+3)/4)
2(x+2)/(x+5)
What is the equation of the line passing through (4,5) and (1,2)?
y=x+1
x2=4
x=2, x=-2
Given a number of coins and eggs, if I put 2 coins in each egg, I have 4 coins left over. If I put 4 coins in each eggs, I have 2 empty eggs. How many coins and eggs do I have?
16 coins and 6 eggs