Proportional Relationships & Percents
Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account. What will be the total amount of money, in dollars, in Paloma's account after 1 year if there are no other deposits or withdrawls?
$765
Yesterday, the temperature at sunrise was -3 degrees Fahrenheit. At sunset, the temperature was 25 degrees warmer than the temperature at sunrise. What was the temperature, in degrees Fahrenheit, at sunset?
22 degrees Fahrenheit
What is the value of this expression?
(2-3)(4-5)
1
Consider these angle measures: 50 degrees, 50 degrees, 100 degrees. Which of the following describes the number of unique triangles that can be drawn using all three angle measures as interior angles?
a. no triangles
b. exactly one triangle
c. exactly three triangles
d. more than three triangles
A (no triangles)
Lucy has 2 blue marbles, 4 red marbles, and 5 green marbles in a bag. All the marbles are the same size. She will select one marble from the bag without looking. What is the probability that Lucy will select a red marble?
4/11
Two friends shared a pie.
-One friend ate 2/5 of the whole pie.
-The other friend ate 40% of the whole pie.
What fraction of the pie was not eaten?
1/5
Which of the following is equivalent to 11/18?
a. 0.61
b. 0.61111...
c. 0.616161...
d. 0.611
B. (0.61111...)
What value of x makes this equation true?
2x - 1 = 9
a. x = 3 1/2
b. x = 4
c. x = 5
d. x = 5 1/2
C (x = 5)
A mirror in the shape of a circle has a diameter of 18 inches. What is the area to the nearest tenth of a square inch, of the mirror? (Use 3.14 for pi).
a. 56.5
b. 254.3
c. 798.6
d. 1017.4
B (254.3)
A teacher recorded some data about the students in her class:
-The probability of a randomly selected student having a pet is 80%.
-The probability of a randomly selected student having short hair is 0.65.
-The probability of a randomly selected student having no siblings is 21%.
-The probability of a randomly selected student having a cell phone is 5/10.
A student from the class is selected at random.
1. The student has a pet.
2. The student has short hair.
3. The student has no siblings.
4. The student has a cell phone.
Determine the likelihood of each statement about the student using the words "unlikely," "likely," or "neither unlikely nor likely."
1. Likely
2. Likely
3. Unlikely
4. Neither unlikely nor likely
A student bought a computer game that cost q dollars. The student paid 6% sales tax on the cost of the computer game. Which of the following expressions can be used to represent the total amount, in dollars, the student paid for the computer game? Select the two correct answers.
a. 0.94q
b. 1.06q
c. q + 0.06
d. q - 0.06
e. q + 0.06q
f. q - 0.06q
B (1.06q) and E (q + 0.06q)
The heights of the low tides for two days are -0.22 feet, 2.64 feet, -0.22 feet, and 2.64 feet. What is the mean height of the low tides?
1.21 feet
Which of the following shows the factored form of this expression?
10k + 40
a. 5(2k + 35)
b. 5(2k + 40)
c. 10(k + 4)
d. 10(k + 40)
C (10(k + 4))
The length of a building is 60 feet. The length of the building on a scale drawing is 4 inches. Which ratio describes the scale of the drawing?
a. 1 inch : 4 feet
b. 1 inch : 15 feet
c. 1 inch : 30 feet
d. 1 inch : 60 feet
B (1 inch : 15 feet)
A café lunch special has two options for an appetizer, five options for a sandwich, and three options for a side dish. How many total possible outcomes are there?
30 outcomes
A student can run 6 miles in 3/4 hour. At this rate, what is the total number of miles the student can run in 1 hour?
8 miles
What is the value of this expression?
-4 1/3 - 2 1/6
-6 1/2
Customers must spend a minimum of $25 at an online art supply store to receive free shipping. A customer ordered 10 tubes of paint and an easel.
-Each tube of paint cost the same amount.
-The easel cost $15.
Determine the possible costs, in dollars, of one tube of paint if the customer received free shipping. Graph your solution on a number line.
One tube of paint costs at least $1.
(Closed circle, arrow to the right)
A large sprinkler is watering a circular area of 1600pi square meters. What is the radius, in meters, of the circular area being watered by the sprinkler?
40 meters
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
a. 30-35
b. 65-70
c. 130-135
d. 265-270
C (130-135)
A chef used a recipe to make a batch of soup. The recipe for the soup requires 2/3 cup of cream for every 1 2/3 cups of broth. The chef uses 5 cups of broth for the batch of soup. Based on the recipe, how many cups of cream did the chef use to make the batch of soup?
a. 2
b. 3 1/3
c. 4
d. 4 1/3
A (2)
A submarine 50.2 meters below the surface of the ocean goes up 15.6 meters. Then it goes down 35.7 meters. What is the submarine's new position relative to the surface of the ocean?
-70.3 meters
Emma noticed that the new admission fee for the zoo is 50% more than last year's fee. She wrote this expression to represent the new admission fee, where f represents last year's fee.
f + (0.50 x f)
Which of the following expressions shows another way Emma could have represented the new admission fee?
a. 1.5f
b. 150f
c. f + 1.5
d. f + 150
A (1.5f)
Lines l, m, and n intersect each other. *SHOW DIAGRAM* Based on the angle measures in the diagram, what is the value of y?
92 degrees
Students are playing a game. They roll a number cube once and then spin the arrow on a spinner once.
-The number cube has faces numbered 1 through 6.
-The spinner has 3 equal-sized sections. One section is colored blue, one red, and one green.
What is the probability that, on a student's turn, the number cube will land with an even number on the top face and the arrow on the spinner will land on a section that is not blue?
6/18