Systems of Equations
Word Problems
Recursive Sequences
Potpourri
100
The solution set to the following system:
{(3x-2y=-16),(x+y=-7):}
(-6, -1)
100
Find three consecutive integers such that their sum is π1
16,17, and 18
100
What is a2 ?
ai+1= ai+1
a0=0
a0=0
a1=1
a2=2
100
What number can x not be in this fraction?
3/(x-4)
4
200
What is the solution set: 2x+2y=6 4x+2y=8
(1,2)
200
If two numbers represented by (ππ + π) and (ππ + π) have a sum of ππ, find π.
m=17
200
What is a2?
ai+1= 3ai
a0=3
a0=3
a1-9
a2=27
200
Use the distributive property. 3(x+2)
3x+6
300
The solution set to the following system:
{(3x+6y=27), (x+2y=11):}
No solution, these lines are parallel
300
ππ years from now, Piaβs age will be twice her age ππ years ago. Find her present age.
p is Pia's age
p+16=2(p-12)
p+16=2p-24
40=p
300
What is a2 ?
ai+1= 3ai+1
a0=2
a0=2
a1=7
a2=22
300
Solve ax+b=c for x
x=(c-b)/a
400
The solution of the following system:
{( 2x+8y=6),(-5x-20y=-15):}
What is Infinite Solutions?
400
Lulu tells her little brother, Jack, that she is holding ππ coins, all of which are either dimes or quarters. They have a value of $π.ππ. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack.
d+q=20
0.1d+0.25q = $4.10
Lulu is holding π dimes and ππ quarters.
400
What is a3 ?
ai+1= ai+6
a0=10
a0=10
a1=16
a2=22
a3=28
400
Write the inequality on this graph
y <2x+4
500
The solution to the following system:
{(5x+y=9), (10x-7y=-18):}
What is
(1, 4)
500
The cost of both solid and printed paper rolls, when:
Twelve rolls of solid paper and 9 rolls of printed paper sell for $43.50.
Eight rolls of solid paper and 15 rolls of printed paper sell for $51.50.
What is solid rolls for $1.75 and printed rolls for $2.50?
500
What is a2 ?
ai+1= 3ai+1
a0=-1
a0=-1
a1=-2
a2=-5
500
Give an example of a point on the graph of this line.
4x-y=10
Examples:
(0,-10) (1,-6)
(2,-2) (3,2)
(4,6) (5,10)