Algebra
A 10,000 gallon pool has a leak. It is losing 2.5 gallons per day. Create an expression that shows the amount remaining after x days.
10,000 - 2.5x
The equation showing the number of leaves on a tree (y) a number of days (x) after the first day of spring is y = 10*3x. When graphed, what is the y-intercept of the graph?
Give your answer as a coordinate point (x, y).
(0, 10)
Kelley printed a photo from her smartphone. The original photo has a length of 2.8 inches and the enlarged photo has a length of 7 inches. What scale factor did Kelley use to enlarge the original photo?
k = 2.5
Consider Triangle ABC, where AB = 27 units, angle B = 46 degrees.
Triangle ABC is decreased by a scale factor 2/3 to make Triangle A'B'C'.
Find A'B'.
A'B' = 18 units
The formula below is known as
a2 + b2 = c2
What is the Pythagorean Theorem?
The following list of points shows three points on line k:
(0, 5), (1, 10), (2, 15)
Which of the following is an equation of a line that is parallel to line k?
A) y = 5x + 5
B) y = -1/5 x + 5
C) y = -5x - 5
D) y = 5x - 2
D) y = 5x - 2
Pearl the hen lays 300 eggs during her first year of production, and the number decreases by 15% each subsequent year. Which function approximates this situation? Let C be the number of eggs and x be the number of years.
A) 300 (0.85)x - 1
B) 300 - 0.15x
C) 300 (0.15)x - 1
D) 300 / 0.15x
A) 300 (0.85)x - 1
Jackson is making a scale drawing of his school. In his drawing, 1 centimeter is equal to 5 feet. If the front of his school is 87 feet long, how long will the front of the school be in his drawing? Give your answer to the nearest tenth of a centimeter.
17.4 centimeters
A rectangle has length l, width w, and area A. A similar rectangle has an area equal to 16A.
What is the length of the larger rectangle, in terms of l?
A) 2l
B) 4l
C) 16l
D) 64l
B) 4l
What year did Mr. Conway get married?
2024
Bonus Point: July 6th
If g(x) = 3x - 1 and f(x) = g(x) + 6, what is f(4)?
f(4) = 17
Which of the following functions has its graph intersecting the x-axis at -2 and 5?
A) d(x) = (x-2)2 + 5
B) f(x) = (x-5) (x+2)
C) g(x) = (x-2) (x+5)
D) k(x) = (x-5)2 + 2
B) f(x) = (x-5) (x+2)
Art in Motion Dance Studio offers 3 ballet classes for every 7 hip-hop classes each semester. If the studio offered 63 hip-hop classes, how many total classes were offered this semester?
90 classes
Jodi's work is located 8 miles directly east of her house. Her school is 7 miles directly south of her house.
What is the shortest distance between her work and her school?
Round your answer to the nearest hundredth.
10.63 miles
One of Mr. Conway's favorite math formulas.
Hint: d =
What is the distance formula?
Bonus 100 points for any group that can write it out.
Madison and Caleb worked as camp counselors over the summer. Counselors earn a different amount of money each week depending on the age of their campers. Madison worked with the toddlers for 6 weeks and the elementary schoolers for 2 weeks, earning a total of $2340. Caleb worked with the toddlers for 1 week and the elementary schoolers for 7 weeks, earning a total of $1890. How much, in dollars, do camp counselors earn each week they work with the toddlers?
$315
Find the positive solution for the equation:
2x2 + 3x - 5 = 0
x = 1
The Sac&Go Grocery store owner purchases milk in gallon jugs for $1.62 each.
What percent of profit did the Sac&Go Grocery owner make on the gallon of milk that Esme bought?
A) 33.9%
B) 60.5%
C) 68.5%
D) 90%
B) 60.5%
A family has a rectangular shaped backyard with dimensions of 17 feet by 23 feet. They plan to build a round fire pit with a diameter of 5 feet, and then they will have grass in the rest of the yard. How many square feet of the yard will have grass?
Use 3.14 for pi, and round your answer to the nearest tenth of a square foot.
371.4 square feet
What are the names of Mr. Conway's cats?
(200 points each cat's name)
Maisie and Maddie
Line p has a slope of -2/5. A point on the line is (–5,8). If the equation is written in Standard Form (Ax + By = C), which of the following represents the value of A, if A is a positive integer?
A) 2
B) 5
C) 6
D) 8
A) 2
Which expression is equivalent to: 4xy3 + 12x2y6
A) 4xy3 (3xy3)
B) 4xy3 (3y2)
C) 4xy3 (1 + 3xy3)
D) 4xy3 (1 + 3y2)
C) 4xy3 (1 + 3xy3)
In his dual-credit math class, Marcos has earned scores of 95%, 86%, and 91% on his first three tests. His semester grade will be the mean of his four test grades. What is the minimum grade he can earn on his fourth test to have a mean of 90%?
88%
An 8 inch x 8 inch x 12 inch rectangular prism is filled with 1,200 identical spherical marbles, each with a radius of 0.5 inches.
To the nearest cubic inch, how much water can be added to the prism before it overflows? Use 3.14 for pi.
140 cubic inches
Solve the system of equations given:
2x + 3y = 23
3x + y = 17
Give your answer as a coordinate point (x, y).
(4, 5)