Determine the x - intercepts of the graph:
4(x - 3)(x + 2) = 1
3, -2
100
Give the vertex.
y = 2(x - 5)^2 +3
(5, 3)
200
Determine the intercepts of the graph 5x - 6y = -2
x-int = -2/5 y-int = 1/3
200
Write the expression as a complex number in standard form:
(6+i)(6-i)
37
200
Solve the inequality:
x^2 - 4 > 0
x<-2 or x >2
200
Use the quadratic formula to solve the equation:
x^2+4x = -20
-2 + 4i, -2 -4i
200
Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.
x^2 + 1.6x + c
.64, (x + 0.8)^2
300
Identify the vertex of the following graph, and tell whether the graph opens up or down.
-|x-8|+1
(8,1) down
300
Write the expression as a complex number in standard form:(2+5i)/(5+2i)
20/29 + 21i/29
300
Solve:
2x^2 - 7x + 3 > 0
x < 1/2 or x > 3
300
Write a quadratic function in intercept form whose graph as the given x -intercepts and passes through the given point.
x-intercepts: 3, 9
point: (14,77)
y = 7/5(x - 3)(x - 9)
300
Solve the equation:
-3(x + 2)^2 = -18
-2 + (6)^(1/2) and 2 - (6)^(1/2)
400
Determine the least squares regression line for the following set of data:
(4,150), (7,450), (8.5, 600), (10, 600), (11, 900), (14,1100), (15, 1250), (16, 1400), (18, 1400), (19, 1650)
y=97.8x - 248
400
In 1991, there were 57 million cats in the United States. By 1998, this number was 61 million. Write a linear model for the number of cats, letting x be the number of years since 1991. Then use the model to predict the number of cats in 2010.
y = .57x + 57
68 million
400
Solve: |2x - 5| < 6
-1/2 < x < 11/2
400
The path of a ball thrown by a baseball player forms a parabola with the equation: y = -3/2401(x - 49)^2 + 8.5, where x is the horizontal distance in feet of the ball from the player and y is the height in feet of the ball. How far does the ball travel before it again reaches the same height from which it was thrown?
98 feet
400
A triangle has a length that is 8 units longer than the height. The area of the triangle is 40 square units. Determine the height of the triangle.
5.80 units
500
Write an equation of the line that passes through (2, -7) and is parallel to the line x = 5.
x = 2
500
Find all the values for c for which the equation has 2 real solutions:
x^2+ 4x + c = 0
c < 4
500
State the domain and range of:
y > 2x^2 -1
Domain: All Real Numbers
Range: y>-1
500
Rewrite the following equation in vertex form:
y = 3x^2 - 12x + 1
y = 3(x - 2)^2 -11
500
Describe the shift of the graph of y = 2(x+3)^2-5 from the graph y = 2x^2.