Linear Equations and Inequalities
Solve for x: x=2(x-1)+6
x = -4
What do all quadratic functions create when you graph them?
A parabola
Solve this system of equations: 3x+3y=6 and 2x-3y=4
x=2
y=0
Ms. Sumner is having her lawn mower tuned up. The repairman charges $50 service call plus $35 per hour. Write an equation to represent the money Ms. Sumner will pay depending on the "x" hours the repairman works.
y = 35x + 50
Find the median of the following data set:
[20, 13, 4, 15, 13, 6, 9, 11]
12
Write the equation of a line that is parallel to the line y=-2x+7 and goes through the point (-2,3)
y=-2x-1
The maximum point, or minimum point on a parabola is called the...
The vertex
Solve this system of equations: x=5y and 2x+3y=-13
x=-5
y=-1
For $5.00 you could buy 1 coke and 3 pieces of pizza. For $8.00 you could buy 3 cokes and 2 pieces of pizza . Write the systems of equations to represent the situation.
5 = 1c + 3p
8 = 3c + 2p
Jeremy collected data from different students at his school about the amount of hours they spent reading each week, x, and their grades in English. He found a correlation coefficient between the hours a week spent reading and the English grades to be 0.18. Which conclusion could he reach?
A) There is a strong positive correlation between the hours a student spends reading and their English grade
B) There is a weak positive correlation between the hours a student spends reading and their English grade
C) There is a strong negative correlation between the hours a student spends reading and their English grade
D) There is no correlation between the hours a student spends reading and their English grade
B) There is a weak positive correlation between the hours a student spends reading and their English grade
Solve for x: 3 - x > 2x - 6
3 > x
Solve the following: (x-7)(x-1) = 0
x = 7 and x = 1
Giselle works as a carpenter and as a blacksmith. She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours, and earned a total of $690. How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
12 hours as a carpenter and 18 hours as a blacksmith
A student works at a job which plays $5.00 per hour. This week the student also received a bonus of $75. If the total pay for the week was $200, how many hours did the student work?
25 hours
If a data set is skewed to the right, what is true about the mean and median?
A) The mean is greater than the median
B) The mean is less than the median
C) We can't tell anything about the mean and median
D) The mean and median are the same
A) The mean is greater than the median
Solve for x: 3-(x+8) < -4x-26
x < -7
Factor: 10x2 + 100x + 250
10(x + 5)(x + 5) or 10(x + 5)2
Solve this system of equations:
-4x-15=5y
5y=11-4x
No solution
Four drinks and 2 pizza slices costs $11.00 and 6 drinks and 5 pizza slices cost $19.50. How much does one slice of pizza cost?
$1.50
Data set A is [ 2, 10, 17, 4, 29, 15 ]. If a two new data points, 6 and 30, are introduced to data set A...
Would the median increase, decrease, or stay the same?
Would the mean increase, decrease, or stay the same?
Would the range increase, decrease, or stay the same?
The median will stay the same
The mean will increase
The range will increase
Solve for x: 6 < -(-8-2x)
-1 < x
Solve: 4x2 + 23x - 6 = 0
x = -6 and x = 1/4
Solve this system of equations: y = 2x - 3 and -4x + 2y = -6
Infinite solutions
You are buying burgers and hot dogs for a barbecue. Burgers cost $2.00 per pound and hot dogs cost $3.00 per pound. You have $36 to spend. Create a linear equation to represent the different number of combinations of burgers and hot dogs you can have, then write it in slope-intercept form.
y = -2/3 x + 12
Scientists observing a rapidly growing bacteria found a best fit line of y = 94.17143x - 53.42857, where y is the number of bacteria and x is the number of hours since they began observing. If there were 150 bacteria after they had been observing for 3 hours, what would the residual associated with that data point be?
About -79.09