Quadratics
Geometry
Exponents and Factoring
Linear and Exponential Models
100
x^2-5x-24=0
What are the solutions to the equation
x = -3
x = 8
100
A right triangular prism has a triangular base with legs 6 and 8 in, and the prism length is 10 in. What is the volume of the prism in cubic inches?
240 in3
100
Write an equivalent simplified expression of root3(8x^3)
2x
100
A bacteria culture starts with 200 cells and is modeled by the equation N(t)=200(1.5)^t , where t is the number of hours after the start. What does 1.5 represent in this context?
Multiplies by 1.5 each hour
200
What is the vertex of the parabola
y=2x^2-8x+3
(2, -5)
200
a cylindrical water tank has radius 3 ft and height 10 ft. What is the volume of the tank? Use 3.14 for pi and gibe your answer in cubic feet.
282.6 ft3
200
Simplify the expression 4(3x-2y+5)-2(2x+3y-4)
8x-14y+28
200
A taxi charges a base fare plus a per-mile fee. The relationship between miles x and total cost y is. y = 2.75x + 4.50. What does the slope represent, and what is the total cost for a 6 mile ride?
2.75 per mile; 21.00
300
Write the following expression in vertex form a(x-h)^2+k x^2+6x+1
(x+3)^2-8
300
A square has diagonal length 10 in. What is the area of the square in square inches?
50 in2
300
If an and b are positive integer constants and xayb=-128, where x < 0 and y < 0, which of the following must be true?
a) a is even
b) a is odd
c) ab is odd
d) ab is even
D
300
A water tank contains 300 liters and is being drained at a constant rate of 12 liters per minute. Write an equation modeling this scenario and find how much water remains after 15 minutes.
W = -12t + 300; 120L
400
a ball is thrown upward from a platform. Its height in feet after t seconds is molded by h(t)=-16t^2+64t+5 . At what time does the ball reach its maximum height?
2
400
A sphere has diameter 10 m. What is the volume of the sphere? Use 3.14 for pi and round to the nearest tenth if needed.
523.3 m3
400
If (x^c(3x)^2)/(9x)^3=x^6 and x ne0 what is the value of c?
7
400
A rumor spreads so that the number of people who have heard it is multiplied by 1.25 each day. If 160 people have heard it on day 0, how many have heard it after 3 days?
312.5
500
The graph of a parabola is written on a coordinate plane: it opens downward, has x-intercepts at x = -4 and x = 2, and crosses the y-axis at y = 8. Write the equation in standard form that represents the graph.
y=-x^2-2x+8
500
In the figure shown, point O is the center of the circle. One vertex of the square lies on the circle, and the opposite vertex is point O. If the area of the shaded region is 36pi , what is the perimeter of the square?
12sqrt(2)
500
In the given expression (a-3)^2=6 What is the value of the expression?
(3a+9)/(a-3)^2+(-9)/(3a-9)
3
500
A student tracks the height of a plant. The points (0, 6), (1, 9), (2, 12), and (3, 15) are plotted on a coordinate plane, where t is weeks and h is height in centimeters. Write an equation that models this data.
h = 3t + 6