Equations and Polynomials
If x+4x-3x+8=0, then x=
-4
If (x+7)(x-3)=0, then x=
-7 or 3
f(x+4) shifts the graph 4 spaces to the...
left!!!
Let the function G be defined by g(x)=x3/4-7. If g(k)=57, then k=
256
If in the equation y=3x, if x is increased by 2, then y is multiplied by?
multiplied by 9
If xy+z=y, what is x in terms of y and z?
(y-z)/y or 1-(z/y)
If 2a=3b and 4a+b=21, then b=
b=3
g(x) = ax2 + 24
For the function g defined above, a is a constant and g(4) = 8. what is the value of g(-4)?
8
If the function F is defined by f(x)=5x+3, then 2f(x)-3=
10x+3
The graph of a quadratic function intersects the x-axis at x=-2 and x=6. What is the factored form of the original quadratic function?
(x+2)(x-6)
If (x-1)/3 = k and k = 3, what is the value of x?
10
If a/b = 2, what is the value of 4b/a?
2
The graph of y=2(x-3) can be obtained by shifting the graph of y=2x ...
3 units to the right
If the function K is defined by k(h)=(h+1)2, then k(x-2)=
x2 -2x +1
A certain population of insects starts at 16 and doubles every 6 days. What is the population after 60 days?
214 or 16,384
If (p-q)^2=25 and pq=14, what is the value of (p+q)^2?
81
If 3x-y = 12, what is the value of 8x/2y ?
212
Which equation represents the line that is the reflection of the line y=2x-3 over the x-axis?
y=-2x-3
If f(x) = x2 + x - 4, what is f(-3)?
2
After a single sheet of paper is folded in half, there are two layers of paper. The same sheet of paper is repeatedly folded in half. If function F represents the number of layers of paper that results after the original sheet of paper is folded a total of x times, which equation could represent this function?
f(x)=2x
3x+4y=-23
2y-x=-19
What is the solution (x,y) to the system of equations above?
(3,-8)
|t-7| = 4 and |9-t| = 2 What value of t satisfies both of the above equations?
t=11
If the point (-4,-8) is reflected over the x-axis, the new point has what (x,y) coordinates?
(-4,8)
If f(x) = -2x + 5, what is f(-3x) equal to?
6x + 5
Ari begins painting at 12:00 noon. At 12:30 PM he estimates that 15.75 gallons of paint are left, and at 2:00 PM he estimates that 10.5 gallons of paint remain. If the paint is being used at constant rate, how many gallons of paint did Ari have when he started the job?
17.5 gallons