Shapes
What is the radius of a circle that has a circumference of 35.8 cm?
5.7 cm
What are the 4 ways to say solutions to a quadratic?
Solution, root, zero, x-int
What is the exponential decay formula?
y= a(1 - r)t
y=Ending Amount
r=Rate as a decimal
t=Time
What is the slope-intercept equation
y = mx + b
What is the slope between (7, 4) and (7, -1)
Undefined
The area of a square is 25 what is the length of one side?
5
What are the possible zeros of the quadratic function
22x2 - 8x
{0,4/11}
How can you identify a exponential table vs a linear table?
Exponential tables change by multiplication and division
Linear tables change by addition or subtraction
Susan has 48 coins totaling $8.00 and the coins are all nickels and quarters.
Write a system of equations that can be used to determine the number of nickels, n, and quarters, q, that Susan has?
n + q = 48
.05n + .25q = 8
If a toy rocket is launched upward from a platform with an initial velocity of 4 feet per second, then its height h after x seconds is given by the equations
h(x) = −2x2+ 8x + 10.
5 seconds
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
L = 66
Find the positive zero of the following:
x2 - 64
x = 8
Kelly is studying bacteria. She begins with 5 and realizes that they double each day. How many will she have in a week?
640
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from the y- intercept of the function?
The initial value is $20 (membership fee)
Solve the following system of equations
x+y=18
x-y=10
What is (14,4)
The perimeter of the rectangle is 14x2 + 2x.
The length of the rectangle is 3x2 – 4x.
Find the width of the rectangle.
Width = 4x2 + 5x
What is the value of the larger roots of the quadratic equation?
f(x) = 3x2 -14x + 15
x = 3
Cole buys a car for 10,000 in 2020. His car depreciates at a rate of 4.5% per year. How much will Cole's car be worth in 2027?
$7244.75
A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maximum number of guests that can attend the banquet for the costs to remain under the budget?
51
Which is an equation of the line that passes through the point (6,-2) and is perpendicular to 3x + 2y = 6?
y = -3/2x + 6
y = -3/2x + 7
y = 2/3x -6
y = 2/3x + 3
y = 2/3x -6
The width of a rectangle is 2 less than its length. The area of the rectangle is 3 inches2. What is the width of the rectangle?
Width: 1
Hannah goes cliff diving and jumps off of a cliff. Her jump is modeled by the equation. What is the max height? (round to the nearest whole number)
h(x) = -16x2 + 124x
240 ft
Eliza invests money into a savings account, it can be represented by the following equation, where x is the number of years. How much interest does Eliza earn per year?
y=450(1.062)^x
6.2%
If 7x-5y=13, and 2x-7y=26, then what would x+y=
-5
This year the senior class at High School A and the senior class at High School B both planned trips to the fair. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Van: 8 Bus: 22