Number Sense
What is the value of x in the solution of the system of equations below?
8x - y = 20
y = 3x
What is x = 4?
Aaliyah has 5 blue drawing pencils and 3 green drawing pencils in a drawer. Aaliyah took a blue drawing pencil from the drawer and gave it to a friend. If a second pencil is taken from the drawer at random, what is the probability that it will be green? A) 1/2 B) 3/7 C) 3/8 D) 1/3
What is B) 3/7?
The circumference of Ally's favorite circular roller skating rink is 75 feet. Which of the following is closest to the diameter of the rink? A) 24 feet B) 12 feet C) 10 feet D) 5 feet
What is A) 24 feet?
Dwight has a bunch of dimes and quarters. His coins have a total value of $5.80. He has a total of 40 coins. Write a system of equations that can be used to find d, the number of dimes, and q, the number of quarters that Dwight has.
What is d + q = 40 .10d + .25q = 5.80
Jay is creating a song on the guitar with four different notes: C, E, G, and A. What is the total number of different 2-note combinations Jay could make with these notes? A) 8 B) 10 C) 12 D) 16
What is C) 12?
Which of the following is equivalent to the expression below? x^2 + 3x - 28
A) (x-4)(x+7)
B) (x+4)(x-7)
C) (x-14)(x+2)
D) (x+14)(x-2)
What is A) (x-4)(x+7)?
Phong walked at a speed of 3 miles per hour. Alycia rode a bicycle at a speed of 9 miles per hour. They both traveled the same distance, but it took Phong 4 more hours than it took Alycia. How many hours did it take Alycia? A) 2 B) 3 C) 4 D) 6
What is A) 2?
Oswaldo placed 5 CDs into a CD player. There are 12 songs on each CD. Oswaldo set the CD player to select songs in a random order. What is the probability that the first song the CD player selects will be the 4th song on the 3rd CD?
What is 1 out of 60?
Miss P wants to buy a tool set that is on sale at a hardware store. The price of each tool set will be decreased by 8% each morning just before the store opens. The sale will last for 7 days, or until all the sets are sold. After the first reduction on Monday, the price of each set was $135. If Miss P wants to wait until the first day that the price is $100 or less, on which day should she buy her tool set? A) Wednesday B) Thursday C) Friday D) Saturday
What is C) Friday?
Ariana is using a small paper rectangle and a large rectangle for an art project. The length of the small rectangle is half the length of the large rectangle. The width of the small rectangle is half the width of the large rectangle. The area of the small rectangle is how many times the area of the large rectangle? A) 1/16 B) 1/8 C) 1/4 D) 1/2
What is C) 1/4?
Henry went fishing one day and caught and released 8 small fish and 4 large fish. He will increase his small fish catch by 1 per month. He will increase his large fish catch by 2 per month. In how many months will Henry catch an equal number of small fish and large fish?
What is 4 months?
Janneth's phone will ring at a time between 3 pm and 5 pm this afternoon. At 3 pm, Janneth will begin to watch a two-hour television program. There are 15 minutes of commercials scheduled to be shown during each hour of the program. Assuming that the time of the phone call will be random, what is the probability that the phone will ring during a commercial?
What is 1/4?
Two friends went to see a movie. Person A paid $13.00 for 1 large box of popcorn and 2 large soft drinks. Person B paid $8.50 for 1 large box of popcorn and 1 large soft drink. In the system of equations below, p represents the cost of 1 large box of popcorn and s represents the cost of 1 large soft drink.
p + 2s = 13.00
p + s = 8.50
What is the value of p, the cost of 1 large box of popcorn?
What is $4.00?
The probability of randomly selecting a blue tile from a bag of tiles is 2/7. There are 12 blue tiles in the bag. What is the total number of tiles in the bag?
What is 42 tiles?
Sedem says that a rectangle's area, A, is given by the equation A = x^2 + x - 6. Which of the following could represent b, the length of the base of the rectangle, and h, the height of the rectangle?
A) b = (x-3); h=(x-2)
B) b = (x-3); h=(x+2)
C) b = (x+3); h=(x+2)
D) b = (x+3); h=(x-2)
What is D) b = (x+3); h=(x-2)