Linear Equations
y=4x-9
Find y if, x=3
y=3
y= -4x - 5
y= 3x - 2
Is (3,7) a solution of the system?
No
k(t) = 13t - 2
k(3) = ?
k(3) = 37
FOIL:
(1 + x) (3 + 2x)
2x2 + 5x + 3
y = mx + b
Linear Function
Find x, if y= -4
6x+7y=4x+4y
x=6
-5x + 2y = 9
y = 7x
x=?
y=?
x = 1
y = 7
h(x) = 17 + x/6
h(-18) = ?
h(-18) = 14
FOIL:
(x + y) (x + y)
x2 + 2xy + y2
y = x3
Cube function
Find m:
y= -x-2
m= -1
What is the result of adding these two equations?
2x+7y = 4
−2x−8y = −2
-y = 2
h(x) = 8x - 10
h(.....) = 62
h(9) = 62
FOIL:
(2 + 5x) (11 + 12x)
60x2 + 79x + 22
y = √x
Squareroot function
What is the slope of the line through (2,-2) and (9,3)?
m=5/7
Solve the system of equations:
-5x + 13y = -7
5x + 4y = 24
x=?, y=?
x = 4
y = 1
For a given input value x, the function f outputs a value y to satisfy the following equation.
y+6= 5(x-4)
f(x)= ?
f(x)= 5x - 26
FOIL:
(x2 - 4) (x2 -4)
x4 - 8x2 + 16
y = ln(x)
Logarithmic function
Reagan graphed the relationship between the number of bars of music he played and the total number of times his metronome clicked.
What feature of the graph represents how many times the metronome clicks per bar?
Slope
Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Chevy wants to use 2 kilograms of yarn to make a total of 15 items.
Let h be the number of hats Chevy makes and s be the number of scarves he makes.
Which system of equations represents this situation?
0.2h + 0.1s = 2
h + s = 15
T(n) models the number of tenants living on floor n of the tower.
What does the statement T(60) > T(10) + T(30) mean?
There are more tenants on floor 60 than there are tenants on floors 10 and 30 combined.
FOIL:
12a(a + b)(a - b)
12a3 - 12ab2
y = ex
Exponential function