2 Degrees of Power
What are the factors of the equation x2 – 3x + 2?
( x -1) ( x -2)
Which of the following equations is parallel to 8x - 10y = -2 and contains (1, -2)?
A. 4x - 5y = -2
B. 5x - 4y = 6
C. 4x - 5y = 6
D. 4x - 5y = 14
D. 4x - 5y = 14
Dave's car payments are $323 per month. Dave earns $8.50 per hour at his part-time job.
How many hours must Dave work each month just to make his car payment?
The table below shows the temperature, T, in degrees Kelvin, and the volume, V, in cubic centimeters, of a certain gas at constant pressure.
Volume (cc) -x
10, 15, 17, 19, 22
Temperature (°K) -y
200 300 340 380 440
Determine the slope of the line by using the table values.
If f(x) = 2(x-3) + 4, what is f(-2)?
What are the roots of the equation y = x2-6x+5?
5 and 1
The inequality 2m -27t > 4 can be used to determine m, the distance in meters a person is from a location for t, time in seconds.
Solve the inequality for m.
A department store is having a special sale on shirts. The price of the shirts is decreased by 10% each day of the sale. If the original price of a shirt in the department store is $40, about how many days will it take for the price of the shirt to be less than $10?
If the domain of the function f(x) = 3x -2 is {-1, 0, 1}
What is the range of the function?
Solve for y.
x - y = 3
What are the solutions to the quadratic equation
x2 - 2x – 8 = 0?
A diver descends in a lake and pressure is produced by the weight of the water on the diver. As a diver swims deeper, the atmosphere of pressure on the diver's body increases. The table below represents the total pressure, y, on a diver given the depth, x, under the water in meters.
Depth Under Water (meters), x
0,1,2,3,4,5,6
Pressure (atm), y
1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6
Write the equation that describes the pressure exerted on a diver when under water.
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p.
Oscar uses this formula to determine the total cost, C, for towing and repairing a car.
C = 45 + 20h + p
What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts?
The school's mathematics department sponsors a family math game night every year. The first year there were 55 participants and the second year there were 80 participants.
What equations can be used to predict the amount of participants, y, for any year, x, thereafter?
What is the solution to the system of equations?
x + y = 9
2x - 3y = 12
Which pair of integers satisfies the following quadratic equation?
x2 + 5x - 24 = 0
If the domain of the function f(x) = 2x2 + 4 is restricted to -2 ≤ x ≤ 2
What is the range?
4<=y<=12
The cost of a telephone call, c, is a function of the time spent talking for t minutes. The function c = 0.22t represents this situation.
What would be the cost for a 1 hour and 15 minute telephone call?
What is the slope of the line that passes through the points M (-3, 5) and N (1, 8)?
Solve for y of the equation 3x - 2 = 4y + 5?
y=3/4x-7/4
What is the vertex form?
f(x)=a(x-h)2+k
Compare the graphs of these two equations:
y = 2(x - 7) and y = 2x - 3
What translation would map the first equation onto the second equation?
Shift 11 units up.
The cost of a telephone call, c, is a function of the time spent talking for t minutes. The function c = 0.22t represents this situation.
How many minutes can someone call for $26.40?
In the summertime, sales of sunglasses and ice cream show a correlation coefficient of 0.9142. Does this mean that buying one item causes people to want to buy the other? Why or why not?
Peach Produces pays its employees by the formula, P(b) = 5/2b + 45, where P(b) is the employee’s total daily pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?