Building Equations
Slopes and Graphs
3 Dimensional Objects
Statistics and Proportional Relationships
Volume and Area
100
The wheels on Lee’s bike each have a circumference of approximately 7 feet. What is the equation to determine y, the total distance traveled in feet for each wheel as a function of x, the number of wheel revolutions.
y = 7x
100
What is the slope of a line passing through the points (0,4) and (-3, -2)
2
100
What 3 dimensional figure is made from a set of points in space that are equidistant from a fixed point?
Spheres
100
A basketball player made 12 free throws in his last 36 attempts. How many free throws would the basketball player be expected to make in 78 attempts?
26 free throws
100
The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the nearest square centimeter?
24, 542 cm squared
200
The sales clerks at a certain department store are given a salary of $75.00 in addition to 10 percent of all their personal sales that week. Write a function for their salary, S, in terms of their weekly sales, x.
S = 75 + .10x
200
What is the slope of the line -6x-2y = 8
-3
200
What 3 dimensional solid has 1 base and 1 vertex?
Cone
200
Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric rounded to two decimal places?
4.69 x 7.81
200
A rectangle has a length of 4 feet and a perimeter of 14 feet. What is the perimeter of a similar rectangle with a width of 9 feet?
42 feet
300
The runners on a cross country team need to buy bottles of water for their next meet. Each runner will buy at least four bottles, and the coach will buy six extra bottles. Write an inequality describing the total number of bottles, b, the runners and coach will buy in terms of n, the number of runners on the team.
b _>_ 4n +6 NOTE: The inequality sign about is a greater than or equal to symbol.
300
What are the coordinates of the y-intercept of the line represented by the equation 4x + 2y = 10?
(0,5)
300
What 3 dimensional figure has 1 base and 5 vertices?
square or rectangular pyramid
300
If y varies directly as x and y = 8 whenever x = 4, write an expression for y as a function of x.
Y = 2x
300
About how many feet of fencing are needed to enclose a rectangular garden with a 30-foot-long side and a 40 foot-long diagonal (rounded to the nearest foot)?
113 feet
400
Luxury Limousine charges a fee of $50 per hour, h, to rent a limousine plus $0.15 per mile driven. Write an equation to determine the cost of renting a limousine for h, hours, and m, minutes.
c = 50h + 0.15m
400
What is the equation of the line that passes through the points (-4, 1) and (4, -6)?
Y = (-7/8)x – 5/2
400
What 3 dimensional figure has 2 bases and no vertices
cylinder
400
The ratio of juniors to seniors enrolled in technology class is 9 to 8. If the total number of juniors and seniors enrolled in these classes is 51, what is the percentage of students enrolled in technology classes who are seniors?
53%
400
A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to ½ their original size, what will be the new volume of the rectangular solid?
3 decimeters cubed
500
Johnny is going to shopping for a new outfit. He picks out two shirts priced at $20.00 each, A pair of shoes for $61.00, and a pair of shorts for $34.00. The shorts are on clearance, 45% off, and tax is 8.25%. How much does Johnny owe at check out?
$129.58
500
What are the coordinates of the x-intercept of the equation -3y = 8 – 2x
(4,0)
500
What 3 dimensional figure has 1 base and no vertices?
Hemisphere
500
Y varies directly as x and inversely as z. If y = 3 whenever x = 27 and z = 3 , what is y whenever x = 3 and z = 4?
y =1/4
500
If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube? Write a statement describing this change.
The new length is 2 times the original length
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