Number Systems
The decimal equivalent for the mixed number:
5 7/20
What is 5.35?
At the farmer's market, you can buy 3 melons for $10.50, 6 melons for $21, or 9 melons for $31.50. Find the constant of proportionality for buying melons.
What is 3.5 or $3.50?
Simplify the expression:
2(4a + b) - 4a + b
What is 4a + 3b?
A photo of a painting measures 13 inches by 17 inches. The scale factor is 1:3. Find the size (length and width) of the painting.
What is 39 inches by 51 inches?
A spinner is divided into 6 equal sections. 2 sections are red, 2 are green, and 2 are blue. Find the probability that the spinner will land on blue or green. Answer with a simplified fraction and a whole percent.
What is 2/3?
What is 67%?
Find the quotient: -18 divided by -1/6 (NO calculator allowed!)
What is 108?
Four croissants cost $2.60. How much will it cost to purchase 7 croissants?
What is $4.55?
The Smith family has a monthly budget of $4,500. Mr. Smith has a fulltime job and takes home $3,600 each month. Mrs. Smith works part-time and brings home $9 for every hour she works. Write an equation to show how many hours per month must Mrs. Smith work to make sure that the family meets their monthly budget? Then solve the equation.
What is 9x + 3600 = 4500?
What is 100 hours?
A tree with a height of 13 feet projects a shadow of 18 feet. A sign near the tree has a shadow of 13.5 feet. Find the height of the sign. Round to the nearest hundredth.
What is 9.75 feet?
The experimental probability of seeing a hawk at the Avian Viewing Company Center on any given day is 20%. If Joe visits the center 240 days, on about how many days can he expect to see a hawk?
What is 48 days?
Simplify the expression:
-3(-1/6)(-2)(2) divided by (-1/4)
(NO calculator allowed!)
What is 8?
Hudson got a raise. His hourly wage was increased from $8 to $10. Find the percent increase in Hudson's wage.
What is 25%?
Ben's uncle said that if you subtract 16 from 3 times his age, you would get 68. Write an equation to represent this relationship. Then solve the equation to find the age of Ben's uncle.
What is 3x - 16 = 68?
What is 28 years old?
Find the circumference AND area of a circle with a radius of 9 inches. (Answers must include correct label!)
What is area of 254.34 square inches?
What is circumference of 56.52 inches?
Your school is choosing new school colors. Which group should you ask to get a random sample of student opinion?
A) ten 7th grade students
B) every tenth student that enters the building
C) twenty 1st and 2nd graders
D) every other student going into the nurse's office
Who is every tenth student that enters the building?
The Philippine Trench is 10.05 kilometers deep. The Brazil Basin is 6.12 kilometers deep. How much deeper is the Philippine Trench than the Brazil Basin? Round to the nearest hundredth.
(NO calculator allowed!)
What is 3.93 kilometers deeper?
Andy buys 2 t-shirts for $9.50 each, a 3-pack of socks for $7.95, and a pair of shoes for $49.95. The sales tax is 6%. To the nearest cent, find the total cost of Andy's purchases.
What is $81.51?
Julia is saving her money to buy a camera. She has already set aside $75 from her birthday money. If Julia saves the same amount for 4 weeks, write an inequality to represent how much she needs to save to buy a camera for $380. Then solve the inequality.
What is 4x + 75 is greater than or equal to 380?
What is $76.25?
The base of a square pyramid has a length of 6 inches. The height of each side of the pyramid is 5 inches. Find the surface area of the pyramid. Answer must include a label.
What is 96 square inches?
A school has 520 students. Dan surveys a random sample of 50 students and finds that 32 have pet cats. How many students are likely to have pet cats?
What is 333 students?
At noon, the temperature was 55 degrees. Each hour, the temperature dropped by 3 1/2 degrees. What is the overall CHANGE in temperature at 3:30? (Round to the nearest hundredth of a degree.)
(NO calculator allowed!)
What is -12.25 degrees?
On a map, the distance between two cities is 7.3 centimeters. The map scale is 1 cm:50 km. Find the actual distance between the two cities. (Answer must include a label.)
What is 365 kilometers?
Solve the inequality: -3x + 2 < 8.
Then graph the inequality on a number line.
What is x > -2?
What is a graph with an open circle on -2 and arrow pointing to the right?
Eric draws two adjacent, supplementary angles. One angle has a measure of 88 degrees. Write an equation to represent this relationship AND find the measure of the unknown angle.
What is x + 88 = 180?
What is 92 degrees?
Jill has a bag of marbles. Without looking, she removes one marble from the bag, records the color, and replaces it. She does this process 50 times. Here are her results: red=11, blue=14, green=9, yellow=16. Find the probability that Jill will pick a blue marble on the next draw. Answer with a fraction in simplest form AND a percent.
What is 7/25?
What is 28%?