Functions
What family of functions does the following graph belong to?
Absolute Value Function
State the slope and y-intercept of the following equation.
y=-1/2x+5
Slope =
-1/2
y-intercept = (0, 5)
Multiply
-3x(2x+5)
-6x^2-15x
What is a solution to a system of equations?
An ordered pair that satisfies all equations in the system.
Convert the following percent decrease into a multiplier.
16% decrease
0.84
What family of functions the does the following equation belong to?
3x+4y=7
Linear Function
Write an equation to represent the following tile pattern.
y = 2x + 5
Multiply
(2x+3)(x-4)
2x^2-5x-12
Simplify
3x^2+7xy-2x^2+9xy-5
x^2+16xy-5
Find the rebound ratio for a drop height of 300 cm and a rebound height of 180 cm.
0.6 cm
What is the domain of the following graph?
All real numbers
Find the slope of a line passing through the following points.
(1, -2) and (4, 7)
3
Simplify
(x^7y^-8)(x^-3y^5)
x^4/y^3
Multiply
(x-5)(x+2)
x^2-3x-10
Does the following sequence represent a linear, quadratic or exponential function?
7, 14, 28, 56, 112, ...
Exponential
What is the range of the following graph?
[-3, 7]
Write an equation of a line in slope intercept form if the slope is 3 and the line passes through the point (-1, -8).
y = 3x - 5
Solve for y
3x+2y=12
y=-3/2x+6
Solve the following system.
2x+y=7
2x-5y=1
(3, 1)
Write an explicit equation to represent this sequence.
12, 15, 18, 21, ...
t(n) = 3n+9
Find f(-5) if
f(x)=2|x-3|
f(-5) = 16
(-5, 16)
Write an equation of a line in slope intercept form if the line passes through the points (-2, -4) and (3, 11).
y = 3x + 2
Solve
|2x-1|=7
x = 4 and x = -3
Find two consecutive even numbers whose sum is 186.
92 and 94
Write an explicit equation given the following information.
t(7)=45
t(n+1)=t(n)-3
t(n)=-3n+66