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System Of Equations
Matrix
Inequalities
Factoring
Composite Functions
100
Solve by substitution X+2y=-1 X-y=5
(3, -2)
100
[4 3] + [7 9]
[11 12]
100
0 > 3x − 3 − 6
x<3
100
X² - 49
(x + 7) (x - 7)
100
f(2) = X² + 4 + 2X
f(2) = 12
200
Solve by elimination 2X+y=-5 2X-5y=13
(-1, -3)
200
[13 22] - [7 10]
[6 12]
200
4x + 1 − 1 ≥ −8
x ≥ -2
200
X² + 4
Not possible
200
g(x) = 3x + 3 f(x) = -4x + 1 ( g + f )
-x + 4
300
Solve by elimination 3y+2X=6 5y-2X=10
(0, 2)
300
5 [4 2]
[20 10]
300
2x − 4x ≤ −2
x ≥ 1
300
4X² - 16
4x(x - 4)
300
g(x) = 3x + 3 f(x) = -4x + 1 ( g + f ) (when x = 10)
-6
400
Solve by substitution -3X-3y=3 y=-5X-17
(-4, 3)
400
[7 9] x [4 3]
Undefined
400
−5(1 − 4x) > −5
x > 0
400
X² + 7X + 6
(X + 6) (X + 1)
400
g(x) = 2x − 1 h(x) = 3x − 3 (g x h)
6X² - 11X + 4
500
Solve by elimination 3X+y=9 5X+4y=22
(2, 3)
500
[6 ] [-3] x [-5 4]
[ -30 24 ] [ 15 -12 ]
500
3(6x − 1) > 18 − 3x
x > 1
500
2X² - 4X - 16
2 (X - 4) (X + 2)
500
g(x) = 2x − 1 h(x) = 3x − 3 (g x h) ( when x = -4)
135