Geometry
A square has an area of 36cm2. What is the length of each of its sides?
6cm
Calculate the range of the data set.
{57, 49, 103, 44, 90, 102, 49}
59
Compare the two tables on the board.
Which one is NOT a function?
Table 1 (x repeats)
Evaluate 2x + 3x - 6x + 2 when x = 0.5
1.5
What whole number is equal to the following?
√92
9
A circle has a diameter of 42ft. Find its circumference.
(I will accept a decimal or a number in terms of pi.)
42πft
or
131.88ft
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling one marble from the bag, what is the probability it will be a black marble?
7/11
What point is represented on the coordinate plane?
***Draw grid with point labeled***
(-2, 3)
How would you write the following inequality using x and an inequality symbol?
***Draw graphed inequality on the board***
x < 3
Evaluate the following:
|-2| x 7 - (2+3)2
-11
The radius of a circle is 0.25x + 7. Find its diameter.
0.5x + 14
Find the mean, median, and mode of the following data set:
{8, 17, 3, 12, 7, 4, 12}
Mode: 12
Median: 8
Mean: 9
Where is the y-intercept of the following function?
y = -2x - 4
(0, -4) or just -4
There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Write an expression that represents the number of steps in the Washington Monument in terms of s.
6s - 27
What is the greatest common factor of 36 and 48?
12
A cylinder has a radius of 5in, and a volume of 706.5in3 (let π = 3.14).
What is the height of the cylinder?
h = 9in
Veronica scored a 75 and a 71 on her first two exams. To raise her mean score to an 80, what grade does she need to earn on her third test?
94
Find the slope of a line that passes through (0, 2) and (2, 1)
-1/2
Solve for y:
3(y - 7) + 2y - 4 = 25
y = 10
Dominic earns $285 per week plus an 8% commission rate on all his sales. If Dominic sells $4,213 worth of merchandise in one week, how much will his total earnings for the week be?
$622.04
Janice's house is built in the shape of a perfect cube with a square pyramid for a roof. Without the roof, the house is 12ft tall. The roof has a height (h) of 8ft.
Find the total volume of the house and roof.
V = 2,112ft3
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling two marbles from the bag without replacing the first, what is the probability that both will be red marbles?
6/55 or .109%
Find the distance between the two following points:
(-1, -2) and (3, 1)
HINT: This is a geometry problem...
5
Use the Pythagorean theorem!
Write an algebraic expression that represents the following:
The product of four more than twice a number and 7 fewer than another number
(2x + 4)(y - 7)
Place the following numbers in order from least to greatest:
1/4, -0.375, 5/8, 0.3
-0.375, 1/4, 0.3, 5/8