| 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
|
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