Solving by Combining Like Terms
Polynomials
Expressions
GCF
Random
100
5h + 2 + 2h = 23
h = 3
100
(2x+3)(5x+8)
10x^2 + 31x +24
100
Simplify. 8b + 3b
11b
100
15 and 30
15
100
Three techniques for multiplying polynomials
Distributive Property Box Method FOIL
200
3b + b - 8 = 4
b = 3
200
6x(4x - 3)
24x^2 - 18x
200
Simplify. 19x - 24x
-5x
200
14j^2k^3 and 21j
7j
200
Universal Factor
1
300
3a + 12 - 6a = -9
a = 7
300
(-3x-9)(-x-6)
-3x^2 +27x +54
300
Simplify. 3 + 5(a + 4)
5a + 23
300
16x^7 and 24x^9
8x^7
300
Defintion of F.O.I.L.
First, Outer, Inner, Last
400
-6 = -3y + 4 + 5y
y = -5
400
-2x(-4x-8)
8x^2 -16x
400
Simplify. - (2b - 4)
-2b + 4
400
6x-12
6
400
Goal of solving any equation with variables
Isolating the variable
500
78 = 3c + 12 - c + 4
c = 31
500
(7p-2)(3p-4)
21p^2-34p-8
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7x^2, 12x and 24x^3
None or 1
500
3 positive numbers that give the same result when multiplied and added together
1,2 and 3
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