1.5x=6/x
a. Identify what types of functions are being used here
b. How many solution(s) are their if any?
What is
a. A linear and Inverse function
b. There are two solutions
100
How many solutions can there be for a system with a linear function and a quadratic function? Graph the possibilities.
What is
0, 1, and 2 solutions
100
Graph the y intercept, x intercept(s), and the vertex (max or min point)
(x+3)(x-1)
What is
x intercepts (-3,0) (1,0) y intercept -3 and
vertex (-1, -4)
x^2-2x-3
100
Write the following expression in standard form
(2x+7)(2x-7)
What is
4x^2+28x-49
200
What is the difference between theoretical and practical?
What is
They both have to make mathematical sense
Theoretical- all possible values (Domain and Range)
Practical-have to be realistic according to the situation (Domain and Range)
200
x-1 =6/x
a. How many solution (s) are there, if any?
b. How would you go about getting the y coordinate for the intersection point(s)?
What is
a. There are two solutions
b. You would take each solution and choose one equation to plug each solution is to get intersection point(s)
200
How many solutions are there for the following equation by algebra
3x-2=x^2+11x+14
What is
One Solution
200
Graph the y intercept, x intercept(s), and the vertex (max or min point)
-2(x+2)(x-3)
What is
-2x^2+2x+12
200
Factor the following quadratic expression
x^2+7x+10
What is
(x+5)(x+2)
300
A function I(d)= 8/d^2
Find the values of d that will satisfy the following equations.
a. I(d)=8 b. I(d)=-5 c. I(d)=0 d. I(d)=-3
What is
a. d= + and - 1 c. No such d
b. No such d d. No such d
300
Find the intersection point(s) if any of the following by using algebra
200000/p=0.1p
What is
(141.42, 1414.21) and (-141.42, -1414.21)
300
Solve the following equation by using algebra to find the intersection point(s)
2x=2x^2-4x
What is
(0, 0) and (3,6)
300
Write the following in standard form with the given information
x-intercepts at (-2,0) and (6, 0) with y-intercept at
(0, -60)
What is
y=5x^2-20x-60
300
Solve by factoring or using the quadratic formula
x^2-9x+20=20
What is
x=0 and x=9
400
Find the theoretical domain and range of the function
s(t)=-16t^2 -48t+160
What is
Domain: t can be any real number
Range: s ≤ 196
400
Solve the equation by graphing (make intersection point if any clear)
x+3=10/x
What is
Intersection points at (-5, -2) and (2, 5)
400
Solve the following equation for the intersection point(s) by using algebra
-3-x=x^2+3x+1
What is
(-2, -1)
400
Write the following in standard form with the given information
x-intercepts at (2,0) and (6, 0) with Maximum point at
(4, 2)
What is
y= -1/2x^2+4x-6
400
Put the following in standard form
3(x+20)(x+1)
What is
3x^2+63x+60
500
Find the practical domain and range of the function s(t)=-16t^2 -48t+160
What is
Domain: -5 ≤ t ≤ 2
Range: 0 ≤ s ≤ 196
500
Solve the following equation by using algebra without a calculator. Find the intersection point(s) if any.
(4/x)+1 = 2-x
What is
No solution (No intersection points)
500
Use calculator
What is
About 282.29 and 17.71
Round answers to make sense
282 or 18 pizzas
500
Write the following in standard form with the given information
x-intercepts at (0,0) and (6, 0) with the graph opening upward
What is
y =ax^2-6ax
a is also any positive number
500
Solve the quadratic expression for the x-intercepts by factoring or using the quadratic formula.
6x^2+7x-10=-5