Unit 1
9x + 1 = 82
Solve for x.
x=9
What is the slope of the line represented by the equation y = x + 7?
1
Given g(x) = 4x - 7, find g(-9).
-43
Luke buys a car for $8000 that depreciates at a rate of 11% per year. How much will his car be worth after 4 years?
$5,019.38
BONUS CHALLENGE 100
DEFYING GRAVITY: You will have 60 seconds with your team to keep the balloon in the air. If it hits the floor you are out. The winning team earns 100 bonus points.
Simplify the expression:
(4-7)2 - 6 x 7 + 20
-13
What is the slope and equation of the vertical line passing through (4, -3)?
Equation: x=4
Given f(x)=4x - 5, find x when f(x)=7.
x = 3
A farmer is monitoring the water content of the soil during a dry summer. The water content of the soil is decreasing at a rate of 2.5% per week. If a certain soil sample contains 200 grams of water on July 1st, which equation describes the relationship between y, the amount of water in grams, and t, time in weeks after July 1st?
y= 200 (1 - .025)t
y= 200 (.975)t
BONUS CHALLENGE 200
EN GUARDE: You will have 60 seconds to use a piece of spaghetti and transfer as many cheerios as possible from one bowl to another without touching the bowl or cheerios. The winning team will earn 200 bonus points.
Solve if x=20 and y= 17
x + 8 - 17
11
Find the x and y intercepts of the following equation:
6x + 3y = 12
x-int: 2
y-int: 4
What is the range of this set of points:
{(2,-7),(-1,-4),(-7,-6),(-7,9)}
Range: (-7, -6, -4, 9)
Bank of America offers an annual compound interest rate of 4%. Suppose you plan to invest 500. How much money will be in the account after 5 years?
$608.33
BONUS CHALLENGE 300
COOKIE FACE: You and your teammates will have 60 seconds to eat a cookie without using your hands. You will place the cookie on your forehead and wiggle and scrunch your face to move the cookie down to your mouth. If the cookie falls, the next teammate will start the challenge. The winning team will earn 300 bonus points.
The length of a rectangle is 3 more than twice the width. If the perimeter of the rectangle is 90, find the dimensions of length and width.
length=31
width=14
Write an equation in slope-intercepts form of the line that passes through the point (-5,-1) and has a slope of -3.
y=-3x-16
Suppose that g(x) = -2x + 2. Find x when g(x)=12.
x = -5
Find the 35th term in the sequence:
5, 9, 13, 17...
141
BONUS CHALLENGE 400
STACK ATTACK: You and your teammates will have 60 seconds to stack as many cups as possible without using your hands and without talking. You will have a rubber band with 4 strings attached and each of you have to manipulate the strings and the rubber bands to stack the cups. The winning team with the most cups will earn 400 bonus points.
The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers?
29, 30, 31
Autumn has a savings account that she initially deposited $400 into but then she added $10 every week thereafter. Jerry started off with $700 but he took out $20 every week for his love of shoes. When will Autumn have more money than Jerry?
11 weeks
A rental company uses the function f(x) = 150x + 75 to calculate the cost to rent a beach house x number of nights. The maximum number of nights the beach house can be rented is 30. What is the practical domain and range of the situation above?
Domain: (0,30)
Range: (75, 4575)
In May 1999, the population of a small town was 42,386 and was increasing at a rate of 1.6% per year. In what year will the town’s population reach over 50,000 if the same rate of growth continues?
2010 (11 years)
BONUS CHALLENGE 500
SUCK IT UP: Your team will have 60 seconds to transfer as many candies from one plate to another without using your hands. The winning team who transferred the most candies will earn 500 bonus points.