Linear Equations
Give an example of a linear equation
x + y =15 (no exponents, and up to two variables)
The main difference between solving an inequality and a linear equation.
What is when you divide or multiply by a negative number, you flip the inequality sign to the opposite direction.
An equation that is just the rearangement of variables.
What is a literal equation.
What is a linear function used for?
To find ordered pairs in order to graph the line of a linear function
What is an exponent?
A number that tells you how many times to multiply the base number times itself.
Solve the equation 8y + 4 = 2y - 20
y = 4
Solve the inequality 5x < 2x -9
x < -3
Solve for x in the literal equation rx = y
x = y/r
Find the range for the function f(x) = 1/2 x - 22
With the Domains of -2 and 4
(-2, -23) and (4, -20)
Simplify the exponent 53 x 52
55
What is the equation for the slope of a line?
(y2 -y1) / (x2-x1)
2 (x-3) > 24
x > 15
Solve for y in the literal equation y/x = 5r
y = 5rx
Find the Range of the function f(x) = 6x -2x + 15 -3
With the domains -1, and 3
(-1, 8) and (3, 24)
Simplify the exponent 42/44
4-2 Not done yet! correct answer is 1/42
Find the Y and X intercepts for the line 2x - 16y = 32
(0, -2) and (16,0)
Solve the compound inequality
2r < 6 OR r-7 > 14
r < 3 OR r >21
Solve for S in the literal equation x/s = r + m
s = x / (r + m)
What transformations have occured on the function g(x) = 1/2 f(4x-5)
Vertical Compression
Horizontal stretch
Horizontal shift left
Simplify the exponent (62)3
66
Find the slope the line th6at goes through the points (-1, 8) and (-6, -2)
2 ( -10/-5)
Solve the compound inequality
16 < 2x-6 < 40
11 <x < 23
Solve for r in the literal equation
5xrs = y + m
(y+m) /(5xs)
What are all the transformations taking place in this function g(x) = - f(6x + 12) -10
Reflection over the Y axis
Vertical shift down
Horizontal stretch
Horizontal shift right
Simplify the expression (a + b)3
a3 + b3