Coin Problems Consecutive Integers Exponents / Polynomials Polynomials SQ Roots and dividing / Diff. of squares
D =5
N=7
There are 12 coins made up of nickels and dimes.
The total value is \$.85. Find what the nickels and dimes are using the two equation process.
N, N+1, N+2
N+(N+1)+(N+2)+4=4(N+1)
N=3 3,4,5
Find 3 consecutive integers such that the sum of the integers plus four is equal to 4x the second integer.
Write the equation and solve.
divide
When you ____ two numbers with the same base, you subtract the exponents
(x+11) (x+2)
Find the factors

x^2 + 13x +22
x+6
What is the square root of x^2 + 12x +36
P= 18
D= 7
There are 25 coins made up of pennies and dimes that equal \$.88. How many pennies? How many dimes?
N, N+2, N+4
N+(N+2)= (N+4)+ 4
N = 6 6, 8, 10
Find 3 consecutive even integers such that the sum of the first and second integers is equal to the third integer, plus four. Write the equation and solve.
multiply
When you ___ two numbers with the same base, you add the exponents
(X+8) (X+2)
Find the factors:

x^2 +10x + 16
x + 7
Divide
(x^2 +10x +21) / x+3
P= 11
N= 15
There are 26 coins made up of pennies and nickels.
The total value is \$.86. How many pennies and how many nickels
N, N+2,N+4
N + (N+4) = 3 (N +2) +3
N = -5 -5,-3,-1
Find three consecutive odd integers such that the first plus the third is equal to three times the second, plus three
X^2 + 6 + 9
Multiply to find the area
(X+3) (X + 3)
(2x+1) (x +1)
find the factors. Don't forget to look for a GCF first.
2x^2 +3x +1
x + 5
Divide

(x^2 + = 7x +10) / x + 2
Q= 3
D =10
There are 13 coins made up of quarters and dimes. The total value is \$1.75. How many quarters and how many dimes?
.N, N+2, N+4
5(N) +3 (N+4) = 7(N+2)+10
N =12 12,14,16
Find three consecutive even integers such that 5x the first, plus 3x the third, is the same as 7x the second, plus 10
2x^2 - 7x +6
What is (2x-3)(x-2)
4 (x^2 +2x +1) =
4 (x+1)(x+1)
Find the factors. Don't forget to look for a GCF first.

4X^2 + 8X + 4
X^2 - B^2
What is (x+B) (X -B) equal to?
N = 5
D = 15
There are 20 coins made up of nickels and dimes. The total value is \$1.75. How many nickels and how many dimes?
N, N+1, N=2
7(N+2) -5(N+1)= 4(N) +1
N=4 4,5,6,
Find three consecutive integers such that 7x the third, minus 5x the second, it the same as 4x the first plus one.
2x^2 -4x -6
What is (2x+2) (x-3)
(2x +5) (x + 1)
Find the factors. Don't forget to check for a GCF.

2X^2 + 7X +5
(X-6) (X+6)
What are the factors of X^2 - 36