Point P is located at -1 2/3. The opposite of point P is point D. Plot points P and D on a number line.
The two points must be plotted correctly. Each whole should be divided into thirds.
100
Write an algebraic expression for the following:
Eight less than five times a number
5n - 8
100
Melanie makes a pot of coffee. She uses 8 Tbsp. of coffee and 24 ounces of water. What is the ratio of coffee to water? Be sure to write in simplest terms.
1:3
100
Point q is located at (-1, 4). On a coordinate plane plot the points that are 3 units apart from point q and share the same y coordinate.
(-4, 4) and (2, 4)
100
The following shows the test scores of a student in her college physics class. Identify an outlier in the data set and calculate the mean with and without the outlier.
82, 79, 24, 91, 83, 75
71.3 with
82 without
200
Nia has 7/8 pounds of bird food. She puts an equal amount into each of 4 bird feeders. How much food does she place in each feeder? Simplify your answer.
What is 7/28 or 1/4 of a pound.
200
Rewrite the following expression using exponents:
18 x 18 x 18 x 18 + 9(5 x 5 x 5 + 5)
18^4 + 9(5^3 + 5)
200
Juanita drove at a constant rate. She traveled 216 miles in four hours. How far did Juanita travel in one hour? How far did she travel in two hours?
54 miles in one hour
108 miles in two hours
200
A cube has a side length of 1 3/4 inches. What is the surface area of the cube?
18 3/8 sq. inches
200
What are the mean, median and mode of the following data set:
12, 8, 8, 13, 9, 10, 5,
Mean is 9
Median is 9
Mode is 8
300
Fred and Fran are on vacation in Playa del Carmen. Fred is scuba diving. His sister Fran is parasailing. Fred is 38 feet below sea level. Fran is 115 feet above the sea. What is the difference in elevations of Fred and Fran?
153 feet
300
2(x - 4) + 3 = 7
Which value of x will make the above statement true?
x = 6
300
Bella is making bracelets. She uses a ratio of 5 blue beads for every 2 yellow beads.
If she uses 12 yellow beads on a bracelet, how many blue beads will she need?
Create a double number line to justify your answer.
She will need 30 blue beads.
300
Triangle ABC is a right triangle. It is plotted on a coordinate plane with points in quadrants 1, 2 and 4.
Point A is located at (-2, 3)
Point B is located at (3, -2)
What are the coordinates of point C?
What is the area of triangle ABC?
Point B is located at (3, 3)
The area is 12.5 units sq.
300
The lengths in cm of several beetles are shown. Find the mean, median, mode and range of the data.
5.8, 4.4, 4.0, 6.1, 5.2, 4.7, 4.9, 5.5, 5.2, 5.1
Mean: 5.09
Median: 5.15
Mode: 5.2
Range: 2.1
400
Antoine found the difference of 58.3 and 4.39 and got 15.6. What error did Antoine make? What is the actual value?
Antoine did not line up the decimal point and then did not regroup the tenths place.
The difference is 53.91
400
A student purchased 7 notebooks for $8.61.
Write an equation that could be used to find the cost of each binder, n, in dollars.
What is the cost of each binder?
Equation: 7n = 8.61 or 8.61 / 7 = n
n = 1.23
400
Sebastian can ride his bike 3 miles in 24 minutes. At his current rate, how far can Sebastian ride his bike in one hour?
He can ride his bike 7.5 miles in one hour.
400
A square pyramid has a base with side lengths of 32 feet. The height of each face of the pyramid is 18 feet. What is the surface area of the pyramid?
2176 sq. feet
400
What is the interquartile range of points scored for members of the Golden State Warriors:
34, 9, 11, 6, 40, 2, 1, 4, 1, 2, 3
2 - 11, or 9
500
Seth wants to buy a new skateboard which costs $230.55. If he earns $8.70 per hour gardening, how many hours does he need to work to earn enough for the skateboard?
26.5 or 27 hours (if he has to work the full hour)
500
On a three-day hike, Matthew hiked twice as many miles on the first day as on the second day. On the third day he hiked 5 miles.
Part A) Write and simplify an expression for the total miles Matthew hiked.
Part B) If Matthew hiked 7 1/4 miles on day 2, how many miles did he hike in total?
26 3/4 miles
500
Natalie has a coupon for 15% off at a clothing store. She buys a pair of jeans that cost 39 dollars. How much money does Natalie save using the coupon?
What is the cost of the jeans after the discount?
Natalie saves $5.85. The new cost of the jeans is $33.15
500
A shipping container is in the shape of a rectangular prism. It has a length of 4 meters, a width of 1 2/3 meters, and a height of 2 1/3 meters. What is the volume of the container?
The container is packed with cubes. Each cube has a side length of 1/3 meters. How many cubes can the container hold?
Volume is 15 5/9 cubic meters
420 cubes
500
Find the mean and mean absolute deviation of the following data set:
91, 67, 85, 89, 77, 80, 88, 90, 86, 87