Slope
Intercept
Intercept
y = 8x - 13
What is the y-intercept?
-13
Tyler goes to the store. His budget is $125. Write an inequality that represents x, the amount in dollars Tyler can spend at the store?
x ≤ 125
Bimodal Distribution
How is the sign of the correlation coefficient related to the slope for the best fit line?
It has the same sign as the slope of the best fit line.
3x+1=-8
x=-3
Solve using substitution.
y = 6x+11
2x - 3y = 7
(-2.5, -4)
Two inequalities are graphed on the same coordinate plane. Explain how to determine the solution to the system of two inequalities?
The solution is region where both inequalities overlap the other when shading in.
What has to be broken before you can use it?
an egg
y = -x + 9
What is the slope?
-1
Find the solution set to the inequality 2x-3 > (2x-5)/2
x > 1/2
The data set represents the number of errors on a typing test.
5 6 8 8 9 9 10 10 10 12
What is the median? Interpret the value.
9 errors
Fill in the blank:
"The closer the correlation coefficient is to zero, the _________ the linear relationships."
Weaker
-10+2x=x
x=10
Solve without graphing.
5x+14y = -5
-3x+10y = 72
(-11.5, 3.75)
The sum of two numbers is less than 10. If we subtract the second number from the first, the difference is greater than 3. Write a system of inequalities that represents this situation. State what your variables represent.
f + s < 10
f - s > 3
f = the first number
s = the second number
What begins with T, finishes with T, and has T in it?
Teapot
Write the equation in slope-intercept form.
3x + 9y = -27
y = -1/3x - 3
Solve.
-4x+3 < 23
x > -5
The data set represents heights, in cm, of ten model bridges made for an engineering competition.
13 14 14 16 16 16 16 18 18 19
What is the MAD?
1.4 cm
The line of best fit for a data set is y = 1.1x + 3.4. Find the residual for each of the coordinate pairs.
A. (2.5, 5.95)
B. (-3, 0)
C. (0, 3.72)
A. -0.2
B. -0.1
C. 0.32
6+(x/4)=14
32
How many solutions does this system of equations have? Explain how you know.
9x - 3y = -6
5y = 15x + 10
Infinitely many solutions. Both equations can be written as y = 3x + 2, so there graphs are exactly the same.
Select all of the x and y pairs that are solutions to the system of inequalities:
y ≤ -2x + 6
x - y < 6
A. (0, 0)
B. (-5, -15)
C. (4, -2)
D. (3, 0)
E. (10, 0)
A & D
(0, 0) & (3, 0)
What goes up but never comes back down?
Your age
What is the slope of a vertical line?
undefined
A cell phone company offers two texting plans. People who use Plan A pay 10 cents for each text sent or received. People who use Plan B pay $12 per month, and then pay an additional two cents for each text sent or received. Write an inequality to represent the fact that it is cheaper for someone to use Plan A than Plan B.
0.1x < 12+0.02x or equivalent
What are all of the distribution shapes for which it is most often appropriate to use the mean?
Bell shaped, symmetric, uniform
The number of miles driven, x, and the number of gallons remaining in the gas tank, y, have a strong negative relationship. Explain what it means to have a strong negative relationship in this context.
Knowing the number of miles driven or the number of gallons remaining, along with the line of best fit, will produce a good estimate for the other variable. The negative relationship means that the number of gallons remaining in the tank decreases as the number of miles increases.
-5(x+6)-10=10
x=-10
Solve using elimination.
3x - 5y = 4
-2x + 6y = 18
(14.25, 7.75)
Julie has $200 to spend on flowers for a school celebration. She decides that the only flowers she wants to buy are roses and carnations. Roses costs $1.45 each and carnations costs $0.65 each. Julie buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write a system of inequalities that represent the constraint that every person takes home at least one rose and to represent the cost constraint.
r ≥ 75
1.45r +0.65c ≤ 200
No matter what, what can you always count on?
Your fingers
True or false: The points (6, 13), (21, 33), and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5.
True
What is the solution set of the inequality
(x+2)/2 ≥ -7 + x/2
x ≥ -8
Select all of the statements that are true about standard deviation.
A) It is a measure of center.
B) It is a measure of variability.
C) It is the same as the MAD.
D) It is calculated using the mean.
E) It is calculated using the median.
B) It is a measure of variability.
D) IT is calculated using the mean.
A news headline claims that "Essential Oils Cause Hormone Levels to Drop." They show a scatter plot displaying a weak negative relationship (r =-0.13) between essential oil use and hormone levels. What is wrong with this claim? What is a better headline for this information?
A weak relationship means there is not likely an association and certainly not a causation.
Example headline:
"Essential Oil Use and Hormone Levels are Unrelated"
4(x-2)=2(x+8)
x=12
Solve.
-7x + 3y = -65
-7x + 10y = -135
(5, -10)
Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether. Write a system of inequalities that represent how many pennies and nickels that Jada could have.
0.01p + 0.05n > 0.40
p + n < 20
What is full of holes but still holds water?
Sponge