Algebra
Determine the slope of a line that passes through (2,5) and (8,5).
0
If f(-1)=3 and f(0)=5 write the equation of function f.
f(x)=2x+5
f(x)=squareroot(x-1)
The function f is defined. What is the value of f(10)?
3
What is 20% of 45?
9
Picture 1 (Google Doc)
66 degrees
Given the formula BMI= (4w-100)/5, express w in terms of BMI.
w= (5BMI + 100)/4
A bakery sells cupcakes for $2.50 each and cookies for $1.50 each. Yesterday, they sold 124 baked items total and earned $250. How many cupcakes and cookies were sold?
64 cupcakes, 60 cookies
A(x)= (8+2x)2
Carmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border x inches wide. What are the dimensions of the picture without the border?
8x8
When David arrived in the country of Georgia, he exchanged $165 of United States (US) currency for 385 Georgian Laris. When he is ready to return to the US, he has 147 Laris left. Assuming the exchange rate is the same, how many US dollars is that worth?
$63
Kaizen's rectangular computer monitor has a diagonal length of 19 inches. If the height of the monitor is 11.9 inches, round to the nearest tenth of an inch?
14.8 inches
Write a system of inequalities that models a region bounded above by y = 2x + 32, below by y = 2x, and on the left by x = 0?
greater than or equal to
less than or equal to
less than or equal to
The graph of y=(x-5)2 - 4 is a parabola in the xy-plane. Determine the maximum or minimum of this parabola.
Minimum: (5,-4)
f(x)= 2x3-2x2+18x-18
The function f is shown. If (x-1) is a factor of f, what is the value of f(1)?
0
Elena mailed 6 packages, with the following shipping charges.
$6.15, $4.78, $5.62, $4.41, $4.21, $6.54
If she mails a 7th package for $5.61 how will that affect the median shipping charge?
The median will increase by 41 cents.
Picture 2 (Google Doc)
55 degrees
If f(x) = ax3+bx2+cx+d and f(-5)=3 which of the following must be true?
a.) x-3 is a factor of f(x)
b.)The remainder when f(x) is divided by x+5 is 3
c.) x+2 is a factor of f(x)
d.) x+5 is a factor of f(x)
B.
In the equation y=(x-2)2+1. What effect does the constant have on the graph?
Shifts the graph up 1
On average, a commercial bakery bakes 800 blueberry pies in 1 hour of baking. Each blueberry pie requires 4 cups of blueberries. Rounded to the nearest tenth of an hour, how many baking hours does it take for the bakery to use 30,000 cups of blueberries?
9.4 baking hours
What radian measure is equal to 15 degrees?
pi/12
If x2-xy=6 and y2-xy=-2 , what is the value of 2(x-t)2.
8
(2x-3)(x+4)=0
Let x=a and x=b be unique solutions to the given equation. What is the value of -a-b?
5/2
In School District X, 6.9 of the 29 students in Ms. Walker's sixth-grade class identify as Asian. The average sixth-grade class size in the school district is 29. If the students in Ms. Walker's class are representative of students in the school district's sixth-grade classes and there are 112 sixth-grade classes in the district, which of the following best estimates the number of sixth-grade students in the school district who do not identify as Asian?
3,024
(x-7)2+(y+5)2=16
The given equation represents a circle in the plane xy-plane. If (x,-5) is a point on the circle, what are the possible values of x?
3,11