Quadratics
Solving Quadratics
Statistics
Linear
Exponential and Quadratic
100
Simplify (12a5 - 6a - 10a3) - (10a - 2a5 - 14a4). Write the answer in standard form.
14a5 + 14a4 - 10a3 - 16a
100
Solve the following quadratic equation by using the quadratic formula: 4x2 - 17x - 15 = 0
x = 5 x = -3/4
100
Identify the trends.
1. positive trend
2. negative trend
100
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y
100
What is exponential growth?
the change that occurs when an original amount is increased by a constant rate over a period of time
200
(x + 3)2 – (2x – 1)2 = 0
(x + 3)2– (2x – 1)2 = 0
200
Find the solution to 18x2 -3x = 15
x = 1 and x = - 5/6
200
Frank has 3 nickels, 5 dimes, and 2 quarters. Find the mean, median, mode and range of the values of Frank's coins.
mean: 11.5 cents median: 10 cents mode: 10 cents range: 20 cents
200
Find the x and y intercepts of 2x + 4y=8.
x=4 and y=-2
200
solve
u2−5u−14=0
u=−2and u=7
300
A parabola has a vertex of (1,-2) and passes through the point (0,0).
What is the equation of the parabola?
From the vertex we know: y=a(x-1)2-2
From the point we know x & y:
0=a(0-1)2-2
0=a(-1)2-2
0=1a-2
2=a
Put "a" in the equation
y=2(x-1)2-2
300
Find the solution to 2(x2 + 4) = 10
x = 1 and x = -1
300
A solution used to kill bacteria is tested The solution kills the following percentages of bacteria in six trials: 85, 84, 87, 86, 90, 80 Use the data to make a box-and-whisker plot.
box-and-whisker plot should have the following points: 80 (least value) 84 (lower quartile) 85.5 (median) 87 (upper quartile) 90 (greatest value)
300
Find the slope of the equation: 6x + 5y=30
6/5
300
solve
6w2−w=5
w=−5/6 and w=1
400
Simplify (12a5 - 6a - 10a3) - (10a - 2a5 - 14a4)
14a5 + 14a4 - 10a3 - 16a
400
Factor
9x2 - 30x + 25
(3x - 5)2
400
Find the interquartile range for the data set: 12, 14, 11, 10, 9, 10, 9
IQR = 3 - put the numbers in order from least to greatest - find the median - find the difference between the first quartile (9) and third quartile (12)
400
Write the equation in slope intercept form: (1,-4) and (3,2)
y=3x -7
400
The amount of students enrolled in a school is increasing by 4% each year. If there are currently 750 students, how many will there be in 10 years?
1110 students
500
Factor Completely
6m3 - 2m2 - 150m + 50
2(3m - 1)(m + 5)(m - 5)
500
Suppose that the equation V = 20.8x2 - 458.3x + 3500 represents the value of a car from 1964 to 2002. What year did the car have the least value?
(x=0 in 1964)
1975
500
Determine the correlation for the situation. Choose positive/negative/or no correlation for each.
The outside temperature in the summer and the cost of the electric bill. (for air conditioning)
Positive correlation
500
Find the solution x - 3y = -6 and 2x + 3y = -3
(-3, 1)
500
The squid in The Magic Forest Lake were declining at an annual rate at 5.5%. Their current number is estimated at 50,000. Write an equation to predict the number of squid in the lake in 10 years.
f(10) = 50000(.945)10 and 28,398 squid