Math1 Formulas / Systems
The formulas for GROWTH and DECAY?
What are:
GROWTH y = a(1+r)t DECAY y = a(1-r)t
The formula for Distance between two points?
Square Root of (y2 - y1)2 + (x2 - x1)2
What is the standard form of a Quadratic Equation and how would you express this on your NC Math 1 Desmos EOC?
y = ax2 + bx + c
y1 ~ ax12 + bx1 + c1
The area of a SQUARE, TRIANGLE, and RECTANGLE?
What is the area of a SQUARE = s2
What is the area of a TRIANGLE = 1/2 x b x h
What is the area of a RECTANGLE = l x w
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
The SLOPE FORMULA given (x1 , y1) and (x2 , y2)?
What is m = y2 - y1 / x2 -x1
What is the midpoint of the longest side of the triangle with vertices ((1,4), (3,4), and (3,6).
A. (1,1)
B. (2,4)
C. (2,5)
D. (3,5)
What is D. (2,5)
The expression -5x2 + 25x + 70 can be used to estimate the height,in meters, of a toy rocket x seconds after it is lauched from a platform. How many seconds does it take for the rocket to hit the ground?
What is 7 seconds to Hit the ground.
The perimeter of Triangle is 8x-6. Triangle side QP is (x+1) and side PR is (3x-1). Which expression represents the length of side QR.
A. 6x - 4
B. 6x - 8
C. 4x - 4
D. 4x - 6
What is D. 4x - 6
A set of nine data points are shown below:
[7,11,12,10,8,6,5,3,9].
Which statement is true if the tenth data point 40 is added to the data set.
A. The mean and median both increase.
B. The mean increases and the median decreases.
C. The mean increases and the median remains the same.
D. The mean and median both decreases
What is A. The mean and median both increase.
The math club sells candy bars and drinks druring football games.
60 candy bars and 110 drinks will sell for $265
120 candy bars and 90 drinks will sell for $270
How much does each candy bar sell for?
What is .75 cent per bar
Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x. On Friday, Antonio earned $157.50. Which equation can be used to detemine how many tables Antonio served on Friday?
A. 20.00x + 5.50 = 157.50
B. 20.00x - 5.50 = 157.50
C. 5.50x + 20.00 = 157.50
D. 5.50x - 20.00 = 157.50
What is C. 5.50x + 20.00 = 157.50
What is the distance, in units, between the y-intercept of f(x) = x2 + 7x - 15 and the y-intercept of the linear function that passes through the points shown in the table below?
x | g(x)
-5 | 2
10 | 11
25 | 20
60 | 41
What is 20 units
If the average of four consecutive even numbers is 49, what are all four numbers?
46, 48, 50, 52
The formula for the axis of symmetry and how to utilize it to find the max height of an object?
What is : x = -(b) / 2(a)
"Plug" the value of x into the corresponding Quadratic Equation for the Vertex.
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?
He will pay $410.
2 The SLOPE FORMULA given (x1 , y1) and (x2 , y2)?
What is m = y2 - y1 / x2 - x1
A rectangle has a perimeter of 32. • Let x equal the width of the rectangle. • Let y equal the area of the rectangle. Which equation can be used to find the area of the rectangle?
A. y = x2 – 32x
B. y = –x2 + 32x
C. y = x2 – 16x
D. y = –x2 + 16x
What is D. y = -x2 +16x
A triangle's base is 3 feet longer than twice it's height, h. To create a new, the base is decrease by 4 feet, and the height is increased by 2 feet. Which expression represents the area of the new triangle
A. (h2 + 1.5h) square feet
B. (h2 + 1.5h - 1) square feet
C. (2h2 + 3h) square feet
D. (2h2 + 3h - 2) square feet
What is : B. (h2 + 1.5h - 1) square feet
Two functions are shown below:
f(x) = 3x + 7
g(x) = 2x + 20
What is the value of x where the graphs of f(x) and g(x) intersect.
A. -13 B. 5 C. -5 D. 13
What is D. 13
What is the value of the smaller zero of the function defined by 6x2 + 57x + 105.
A. -15
B. -7.0
C. -3.5
D. -2.5
What is B. -7.0
What is the five number summary for the data set
16, 12, 13, 15,17,11,14,14,14,5
Also what happens to the mean and median if the outlier is removed?
min 5, Q1 12, med 14, Q3 15, max 17
mean increased
median stayed the same
Spencer, Neal, and Claire go lastertagging. Neal gets five more than two times the number of kills as Spencer. Claire gets twice as many kills as Neal. If the three of us had 92 kills altogether, how many kills did Claire get?
Claire got 54 kills.