Systems
Without graphing, the classification of this system (independent, dependent, inconsistent):
{(3m=-5n+4), (n-6/5=-3/5m):}
What is inconsistent?
The steps to transform the graph of y=x2 to
y=-(x+3)2+5
What is reflection over the x-axis, left 3, up 5?
The solution to the quadratic given below by graphing:
x2+13x=-36
What is x=-4 and x = -9?
The simplified form of the expression:
(4 - 2i) - (-3 + i)
What is 7 - 3i?
The difference between finding the vertex of a quadratic function given in vertex form and finding the vertex of a function given in standard form.
What is in vertex form, the "h" and "k" give the vertex. With standard form, solve for the x-coordinate by the formula (-b/2a). Then plug that value back into the function to solve for the y-coordinate of the vertex.
The solution of this system by graphing:
{(y=x-1), (y=-x+3):}
What is (2,1)?
The classification, by degree and number of terms, of the polynomial given below:
-7x2+4x-1
What is quadratic trinomial?
The solution to the quadratic given below by factoring:
3x2=16x+12
What is
x=-2/3 and x=6
The simplified form of the expression:
(8 + i)(2 + 7i)
What is 9 + 58i ?
The number of small and large notebooks bought if a store sells small notebooks for $8 and large notebooks for $10 and if 6 total notebooks are purchased for a total cost of $56.
What is 2 small notebooks and 4 large notebooks.
The vertex that maximizes the system of inequalities given below:
{(x+y<=11),(2y>=x),(x>=0, y>=0):}
What is
(7 1/3, 3 2/3)
The vertex, axis of symmetry, the max or min value, and the range of the parabola: y= 3x2-4x-2. If necessary format your answers using fractions and give answers in the following order: vertex; axis;min/max; range
What is:
(2/3, -3 1/3);x=2/3;-3 1/3;y>=-3 1/3
The solution of the quadratic given below by factoring:
2x2=8x
What is x=0 and x = 4?
The simplified quotient of the complex number given below:
4/(2-3i)
What is
8/13+12/13i
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p= -0.5x2+25x-150 models the profit of the fundraiser. What is the smallest amount, in dollars, that you can charge and make a profit of at least $125?
What is $16. 34?
The solution to the system given below:
{(y=2x-1), (3x-y=-1):}
What is (-2, -5)?
The equation of a parabola in vertex form with a vertex of (-3, 6) and through the point (1, -2).
What is
y=-1/2(x+3)^2+6
The solution to the quadratic given below by completing the square:
4x2+10x-3=0
What is
x=-5/4+-1/4 sqrt(37)
The simplified form of the expression given below, using i:
sqrt(-50)
What is
5isqrt(2)
The equation for the cost in dollars of producing computer chips is
C=0.000015x2-0.03x+35, where x is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for the number of chips?
The solution to the system given below:
{(3m+4n=-13),(5m+6n=-19):}
What is (1, -4)?
The vertex form of the function below:
y=-2x2+8x+3
What is y=-2(x-2)2+11 ?
The number of real solutions to the quadratic given below using the discriminant:
x+2=-3x2
What is no real solutions?
The factored form of the expression given below:
3s2 + 75
What is 3(s + 5i)(s -5i)?
A pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday, it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day. How many of each size pizza must be sold in order to maximize profit?
What is 70 small pizzas and 140 large pizzas?
The solution to the system given below:
{(4x-y+z=-5),(-x+y-z=5),(2x-z-1=y):}
What is (0, 2, -3)
The standard form of the quadratic passing through the points: (1,1), (-1, -3), (-3,1)
What is y=x2+2x-2
The solution of the quadratic given below using the quadratic formula:
12x+ 9x2=5
Format your answers in fraction form if necessary.
What is
x=-5/3 and x= 1/3
The solutions to the quadratic given below: (solutions will include the complex number i)
x2 +5=4x
What is
2+-i
Your teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return of 12%, the income fund had a return rate of 8%, and the money market fund had a return rate of 5%. Your teacher invested twice as much in the income fund as in the money market fund. How much money was invested in each fund?
What is $2000 in the growth fund, $2000 in the income fund, and $1000 in the money market fund?