Alge-Basics
True or false: the square root of 2 is a rational number.
False
State the formula to find slope when given two points.
(y_a - y_b) / (x_a - x_b)
Is (1,5) a solution for the system
y = 5x and 4x + y = 9?
Yes!
The function f(x) = 3 sin(x)... stretches or squishes?
Stretches
Expand:
4x(2x + 9)
8x2 + 36x
Plus or minus 12!
Horizontal lines have a slope of...
Zero!
Is (-8, 2) a solution for the system
3x + 4y = -16 and y = -x - 4?
No!
The function g(x) = log(x - 3) + 7 shifts how many spaces vertically, and in which direction?
7 up!
Factor:
6x - 9x2
3x(2 - 3x)
Combine like terms:
8x - 10(x + 7y) - 8y + 10
-2x - 78y + 10
Graphing in standard form uses what property of equations?
The x- and y-intercepts!
If x = 8, then
find y in 3x + 4y = 20
y = -1
The function h(x) = 4(x + 2)2 - 3 shifts how many spaces horizontally, and in which direction?
2 left!
Factor:
x2 + 3x - 40
(x + 8)(x - 5)
Solve the equation 8x + 3(x - 7) = 13
x = 4
Convert to S/I Form:
3x - 9y = 10
Simplify fractions!
y = 1/3x - 10/3
How many solutions does the system of equations
y = 8x + 2 and y = 8x - 2
have?
None!
The function k(x) = 1/7 (x + 2)3 ... flips or not?
Doesn't!
Expand:
(3x - 13)(4 - 10x)
1412x - 30x2 - 52
Write x in terms of y and z:
3x - 9y = 10(x + 8) - z + 3y
Find the S/I Form of the line passing through (2, -3) and (0, 9)
y = -6x + 9
How many solutions does the system
2x - 5y = 10 and -4x + 10y = -20
have?
Infinitely many!
The function l(x) = -cos(x + 2) - 1... stretches or squishes?
Neither!