Literal Equations
abc = d
Solve for b
b = d/ac
(h2v3g5/2h4v3g)0
1
What does the standard deviation of a data set mean
A measure of how much a value in the data set differs from the mean
Solve the following system of equations by graphing
x + y = 3
-2x + y = -3
(2,1)
Determine if the sequence is arithmetic, geometric or neither?
1.5, 4.5, 13.5, 40.5
Geometric
Given the volume of a cone,
V = 1/3(pi)r2h
Solve for h
h = 3V/(pi)r2
5x+2 = 1252x
x = 2/5
Find the standard deviation for the following data points.
35 32 25 19 21 40 52 35 29 20 43 33
Standard deviation is 9.6
Solve the system of equations using substitution. Show work
y = 5x - 7
-3x - 2y = -12
(2,3)
Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth
9.2 feet
Area of a triangle is 1/2bh
Solve for b
b = 2/h
The inaugural attendance of an annual music festival is 150,000. The attendance y increases by 8% each year. Write an equation that represents attendance after t years.
y = 150,000(1.08)t
Where will the mean of a data set be if the graph is skewed right
To the right of the median
Solve the system of equations using elimination.
Show work
-4x - 2y = -12
4x + 8y = -24
(6,-6)
Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the ground, it rebounds to 85% of its previous height. Write an explicit formula for the sequence.
An = 12.75(.85)n-1
g + ca = ka
Solve for a
a = g/(k-c)
You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. You also save $40 per month in a safe at home. Write a function C(t) that shows your total from the savings account and the amount you save at home after t years.
C(t) = 9000(1.003)12t + 480t
When a data set has symmetric distribution, the best measure of center and variation is?
The Mean for the center, and Standard Deviation for variation.
Solve the system of equations
3x + 7y = -16
-9x + 5y = 16
(-4,-4)
Mrs. Foster is getting better at math. On her first quiz she scored 57 points, then she scores 61 and 65 on her next two quizzes. If her scores continue to increase at the same rate, what will be her score on her 9th quiz?
89
The formula for displacement is:
d = V0t + 1/2at2
solve for a
a = (2d-2V0t)/t2
The list shows the balance of a money market account over time.
Year t 0 1 2 3 4 5
Balance 300 312 324.48 337.46 350.96 365
Write an equation for the balance over time t
y = 300(1.04)t
200 college students' ages are listed below. Find the mean, median and mode of the students' ages.
18 yrs 19yrs 20yrs 21yrs 37yrs
35% 30% 14% 20% 1%
Mean age: 19
Median age: 19
Mode age: 18
Solve the system of equations
2x + 8y = 6
-5x - 20y = -15
Infinitely many solutions
The function f(x) = 128(1/2)x generates the following sequence.
128, 64, 32, 16, 8 .... for x = 0, 1, 2, 3.....
What is the 10th term?
1/4