Operations with Real numbers and Expressions
What is the GCF?
9x3y3z4 and 15x3y4z4
3x3y3z4
Solve the inequality: 5x - 6 < 4 + 6x
x > 10
f(-11) = -12
The equation y = 15x + 30 describes the relationship between the number of months (x) since a customer bgan renting a storage unit and the total amount (y, in dollars, the customer has paid for the storage unit. If the customer paid $270, how many months have the rented the unit?
16 months
In a survey of 50 people:
18 - chocolate, 6 - mint chip, 5 - pistachio, 13 - vanilla, 8 - other.
If there were 350 customers, how many would you expect to choose a flavor other than chocolate?
224 customers
Simplify (9x2+6x+4) - (3x2+2x-6)
6x2+4x+10
A clothing company sells hats online to its customers. The price of each hat is p dollars. The shipping cost is s dollars and c is the total cost in dollars, when n hats are purchased. c = np + s
What equation can be used to find the price of each hat when 5 hats are purchased, the shipping cost is $6, and the total cost is $41?
41 = 5p + 6
Is this set of order pairs a function?
{(-10, 4), (-8, 3), (-8, 2), (-4, 1)}No, it is not a function
Write an equation in slope intercept from for the linear function that contains the following set of ordered pairs: {(4, 16), (6, 12), (8, 8), (10, 4)}
y = -2x + 24
There are 28 students whose last names begin with the letter G, H, J, or K.
P(G) = 1/7
P(G or H) = 5/14
How many students have a last name that begins with H?
6 students
(since the P(H) = 3/14 and 3/14 * 28 = 6)
What is the LCM?
9x3y3z4 and 15x3y4z4
45x3y4z4
Joan has a gym gift card worth $100. Each time she visits the gym, $12 is deducted from the card. write an equation to determine the amount of money (m), in dollars, remains on the gift card after Joan visits the gym (d) times.
m = 100 - 12d OR m = -12d + 100
Is this set of order pairs a function?
{(-1, 1), (0, 0), (1, 1), (2, 2)}
yes, it is a function
What is the y-intercept and what does it represent?
60, when the chicken hasn't been cooked yet the temperature is 60 degrees F.
There are 25 beads in a package. 5- blue, 4-brown, 3- green, 5- orange, 4- red, and 4- yellow. What is the probability of selecting a green, replacing in the package and then selecting an orange?
P(green, then orange) = 3/125 = 0.024 = 2.4%
order from least to greatest
1/7, 20%, 0.70710..., |-0.5|
1/7, 20%, |-0.5|, 0.70710...
What are values of a and b that make the equation true?
(ax+5y)+(x-y)-(3x-by) = 2x + y
a = 4
b = -3
Using a graphing calculator, graph the relation:
y = -x2 + 5, Is it a function?
Yes, it is a function
Put in slope-intercept form (Solve for y):
x + y = 9
y = -x + 9
A data set with test scores tells us:
the median is 75 pts, the third quartile is 85 pts, and the range of the data is 40 pts.
What percent of the data is between 75 pts. and 85 pts.?
25%
A caterer uses 4 pans of lasagna to serve 30 people. At this rate, how many pans of lasagna does the caterer use to serve 390 people?
52 pans of lasagna
Sandy pencils exceeds 2 times as many pencils as David. David has 3 pencils more than Pietro. Pietro has 4 pencils. Which inequality represents the number of pencils that Sandy has?
x > 14, x < 14, x > 5, or x < 5
x > 14
Using a graphing calculator, graph the relation:
y = -x2 + 5, What is the domain?
All Real Numbers
The system of equations describes the relationship between the number of DVDs rented per month (x) and the monthly cost (y), in dollars.
Service A: y = 15 + 2.50x Service B: y = 12 + 3.50x
When Gloria rents fewer than _ DVDs per month both services will charge $_.
When Gloria rents fewer than 3 DVDs per month both services will charge $22.50.
Ann has 5 bags with different numbers of marbles. The bag with the least is 21. The bag with the most is 29. The mean number of marbles is 27. There are two modes. How many marbles are in each of the five bags?
21, 28, 28, 29, 29