Equations and Inequalities
Sequences, Domain and Range
Writing Equations
Exponential Functions
Polynomials
Quadratics
Systems
Statistics
100
5x + 10 = 2x - 20
x = 5
100
Find the 85th term of the arithmetic sequence -25, -37, -49, ...
-1033
100
What is the equation of the line that passes through the points (-6, -7) and (4, -2)?
y = 1/2x - 4
100
An element with mass 130 grams decays by 22% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
22.8
100
(-7x2 + 6x) + (5x2 - 10x)
-2x2 - 4x
100
Solve x2 + 18x + 80 = 0
x = -10, x = -8
100
Find the solution of the system of equation.
10x - 2y = 44
-2x - 9y = 10
(4, -2)
100
What is the equation of the trend line in the scatterplot?
y = 3/2x - 6
200
28/5
200
Find the 60th term of the arithmetic sequence -14, -25, -36, ...
-663
200
Find the equation of a the linear function represented by the table below in slope-intercept form.
y = 3x + 1
200
7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to the nearest cent?
29459.12
200
(-x2 - 4x - 5) - (8x2 + 3x - 1)
-9x2 - 7x - 4
200
5x2 - 9x + 4 = 0
x = 4/5, x = 1
200
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x + 3y = -8
5x - 15y = 55
no solutions
200
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth.
y = 1x - 2.6
300
-4(-2x - 4) + 2x - 4 = 22
x = 1
300
Find the 10th term of the geometric sequence 8, -24, 72, ...
-157464
300
What is an equation of the line that passes through the point (-5, -4) and is parallel to the line 6x - 5y = 45?
y = 6/5x + 2
300
5x4y4(2x3y3)
10x7y7
300
(3x + 2)(x - 5)
3x2 - 13x - 10
300
Taylor kicks a football. Its height in feet is given by h(t) = -16t2 + 48t where t represents the time in seconds after kick. After how many seconds does the football hit the ground?
3 seconds
300
Paisley has 0.80 worth of pennies and nickels. She has 3 times as many nickels as pennies. Determine the number of pennies and the number of nickels that Paisley has.
5 pennies and 15 nickels
300
The number of newly reported crimes cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2013, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth.
y = 43.8x + 700.2
400
2x - 7 < 5x + 8
x > -5
400
Find the 8th term of the geometric sequence 4, -12, 36, ...
-8748
400
What is an equation of the line that passes through the point (-8, 0) and is perpendicular to the line 2x - y = 4?
y = -1/2x - 4
400
400
(3x - 2)(x - 6)
3x2 - 20x + 12
400
Deion launches a toy rocket from a platform. The height of the rocket in feet is given by h(t) = -16t + 24t + 16 where t represents the time in seconds after launch. How many seconds have gone by when the rocket is at its highest point?
0.75
400
Ashley is raising money for a school trip by selling lollipops and packs of cookies. Yesterday Ashley sold 5 lollipops and 17 packs of cookies for a total revenue of $39. Today she sold 20 lollipops and 14 packs of cookies for a total revenue of $48. Determine the price of each lollipop and the price of each pack of cookies.
Each lollipop costs $1 and each pack of cookies costs $2.
400
For a project in her statistics class, Patty surveyed her classmates about the extent of their travel experience. Patty asked her classmates how many states, x, and how many countries, y, they have visited. Find the correlation coefficient, r, of the data described below. Round your answer to the nearest thousandth.
0.124
500
4 - 9(x - 1) = -8 + 4(-x + 3)
x = 1.8
500
Find the domain of the function defined by the set of points. Express your answer as a set of numbers. (-1, -2), (5, -7), (9, 2)
{-1, 5, 9}
500
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−4) and (6,−8).
y = 2x - 10
500
4d18
500
(3x - 9)(2x - 9)
6x2 - 45x + 81
500
Malik launches a toy rocket from a platform. The height of the rocket in feet is given by h(t) = -16t2 + 56t + 32 where t represents the time in seconds after launch. What is the rocket's greatest height?
81 feet
500
Fabian is working two summer jobs, making $9 per hour washing cars and $11 per hour landscaping. Last week Fabian worked a total of 10 hours and earned a total of $98. Determine the number of hours Fabian worked washing cars last week and the number of hours he worked landscaping last week.
6 hours washing cars and 4 hours landscaping
500
In the data set below, what is the standard deviation? If the answer is a decimal, round it to the nearest tenth.
7, 9, 4, 9, 3, 7, 3
2.4