Simplify Expressions
Factoring Quadratics
Solving Quadratics
Solve A System
Word Problems
100
2n+6+2n
2(2n+3)
100
8r^2+17r-21
(r+3)(8r-7)
100
3n^2-13=0
n=2.08, -2.08
100
y=-2x+6
x=3-y/2 y=6-2x
100
The admission fee at the School Carnival is 1.50 for Freshmans and $4.00 for Sophmores. On a certain day, 2200 people enter the fair and $5050 is collected. How many Freshman and how many Sophmore attended?
1500 Freshman 700 Sophmore
200
-2r-4r
-6r
200
9x^2-38x+8
(9x-2)(x-4)
200
6m^2=6
m=1, -1
200
y=4x+6
x=y/4-3/2 y=4x+6
200
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
6 chickens 7 pigs
300
-7x+7x
0
300
9n^2+51n+70
(3n+10)(3n+7)
300
3m^2=3
m=1, -1
300
y=5x+7
x=y/5-7/5 y=5x+7
300
Allonnetta's Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Allonnetta's Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April? 7 forks and 20 spoons
7 forks 20 spoons
400
-6(5n+10)
-30n-60
400
9r^2+27r-10
(3r+10)(3r-1)
400
8m^2=4
m=0.71, -0.71
400
y=-4x-21
x=-y/4-21/4 y=-4x-21
400
A School shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
5 ducks 6 goats
500
2(8+10x)
20x+16
500
r^2-25
(r-5)(r+5)
500
4m^4=8
m= 1.19, -1.19
500
y=-3x-15
x=-y/3-5 y=-3x-15
500
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
3 cars 4 buses