Shapes
Quadratics
Exponential
Linear
Misc.
100
What is the formula for area of a rectangle
A = l x w
100
What are the 4 ways to say solutions to a quadratic?
Solution, root, zero, x-int
100
What is one exponential equation
y = abx
y= a(1+r)x
y= (1 - r)x
100
What is the slope-intercept equation
y = mx + b
100
What is the slope between (7, 4) and (7, -1)
Undefined
200
The area of a square is 20 what is the length of one side?
5
200
What is the GCF of 22x2 - 8x
2x
200
When looking at a table when do you use an exponential equation vs. a linear equation
Exponential when you multiply
Linear when you add/subtract
200
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
200
What are the solutions to f(x) = 2x+3 and
g(x) = x2
x = -1 and x = 3
300
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
300
Find the positive zero of the following:
x2 - 64
x = 8
300
Kelly is studying bacteria. She begins with 5 and realizes that they double each day. How many will she have in a week?
640
300
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)
300
What is the formulas for finding distance?
400
The width of a rectangle is 2 less than its length. The perimeter of the rectangle is 60 inches. What is the width of the rectangle?
Width: 14
400
What is the value of the larger roots of the quadratic equation?
f(x) = 3x2 -14x + 15
x = 3
400
Cole buys a car for 10,000 in 2020. His car depreciates at a rate of 4.5% per year. In what year will his car be worth less than $5,000
2036
400
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
400
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
500
The perimeter of the rectangle is 14x^2 + 2x. The length of the rectangle is 3x^2 – 4x. Find the width of the rectangle.
Width = 4x^2 + 5x
500
Hannah goes cliff diving and jumps off of a cliff. Her jump is modeled by the equation. (round to the nearest whole number)
What is the max height?
h(x) = -16x2 + 124x
240 ft
500
Eliza invests $450 in a savings account with 6.02% interest per year, but never adds any more money. Mary has $500 in a bank account and adds $50 each year. When will Eliza have more money than Mary?
22 years
500
What geometric shape is generally used for stop signs?
Octagon
500
How do you find the midpoint between to points?
Combine the two averages: The midpoint is the point ( (x1 + x2) / 2, (y1 + y2) / 2))