Ordering Numbers
Which numbers from this list are less than −0.94?
-15/16, 0.24, -2.23, 97%, -2 2/5, -0.95
-2.23, -2 2/5, and -0.95
The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. What is the length of the diagonal in inches?
13.9 inches
An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. How much interest will the employee earn at the end of 5 years?
$2,693.12
Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.
How many pieces of gum did Julie give away if they had the same number of pieces of gum left?
15
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. What is the volume of water in the fishbowl in cubic inches?
2,144.66 in3
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There are four students working on an assignment in a class. Mike has completed 1/9 of the assignment, Gwen has completed 11% of the assignment, Jorge has completed 0.12 of the assignment,and Tai has completed 1/8 of the assignment.
Lists the students in order from least to greatest by the amount of the assignment they completed.
Gwen, Mike, Jorge, Tai
Natasha walked from the library to the grocery store and then to her house.
The grocery store is 1.7 miles east of the library. The Natasha's house is 0.9 miles south of the grocery store.
What is the distance in miles from Natasha’s house to the library?
1.9 miles
An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interest. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 10 years?
$2,125.00
What is the solution to this equation?
2x + 3 = x − 4
-7
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
A) V = π(6)2h
B) V = (6 )2πh
C) V = π(12)2h
D) V = π(12h)2
A) V = π(6)2h
The water levels of five Texas lakes were measured on the same day in 2010. Listed below are the number of feet above or below normal level for each lake.
Conroe 0.10
Amistad -2.65
Richland Chambers 0.16
Possum Kingdom -1.43
Travis 0.07
List the lake levelsfrom greatest to least
0.16, 0.10, 0.07, -1.43, -2.65
The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground.
The pole is 26 feet tall. The stake is 19.5 feet right of the pole.
What is the distance in feet from the top of the pole to the bottom of the stake?
32.5 feet
Mr. Wilkins deposited $2,500 in a new account at his bank.
• The bank pays 6.5% interest compounded annually on this account.
• Mr. Wilkins makes no additional deposits or withdrawals.
What is the balance of the account at the end of 2 years?
$2,835.56
Which situation can be represented by this equation?
7x + 1 =10x
F) Brody ran at a constant rate of 7 miles per hour in a race. Candice ran at a constant rate of 10 miles per hour in a race and started 1 mile in front of the starting point. What is x, the number of hours that Brody and Candice would have to run in order for their distance to be the same?
G) Brody played a game where he scored 8 points per hour. Candice played the game and scored 10 points per hour. What is x, the number of hours that Brody and Candice would each have to play the game in order for their scores to be the same?
H)Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What is x, the number of hours that Brody would have to stay at each park to have to pay the same amount?
J)Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?
J)Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?
A container is shaped like a triangular prism. Each base of the container is an equilateral triangle with side lengths of 6 cm.
The container has a height of 15 centimeters. What is the lateral surface area of the container in square centimeters?
270
During one month, four trees at a nursery increased in height at the rates shown below.
8%, 1/12, 16%, 1/20
List these rates in order from greatest to least.
16%, 1/12, 8%, 1/20
Gwendolyn placed a 10-foot ladder against the side of her house so that the base of the ladder was 3 feet from the base of the house.
What is the distance from the top of the ladder to the ground?
9.5 ft
Mr. Flores opened an account with a deposit of $5,000.
• The account earned annual simple interest.
• He did not make any additional deposits or withdrawals.
• At the end of 4 years, the balance of the account was $6,500.
What is the annual interest rate on this account?
7.5 %
What value of x makes x/3 - 3 = x/9 +3 true?
F) 3
G) -9
H) -1
J) 27
J) 27
An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are listed below:
Radius: 3 in
Height: 15 in
Which measurement is the total surface area of the container in square inches?
339.29 in2
The money in Juan’s savings account earns 1.25% interest. Which value is less than 1.25%?
f) 5/4
g) 0.125
h) 1/80
j) 0.0114
j) 0.0114
A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall. What is the distance from the top of the ladder to the base of the wall?
9 ft
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?
$1,800
Two eighth-grade classes are selling raffle tickets to raise money.
• One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.
What equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
2.50 t + 350 = 3t + 225
Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The dimensions of each container are listed below.
Cone: radius=4 in height=12 in
Cylinder: radius=3 in height=8 in
Which statement about the volumes of the cone and the cylinder is true?
A) The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.
B) The volume of the cylinder is about 377 cubic inches less than the volume of the cone.
C) The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.
D) The volume of the cylinder is about 25 cubic inches less than the volume of the cone.
C) The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.