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?
Denise has 5 blue pencils and 3 green pencils in a drawer. Denise took a blue pencil from the drawer and gave it to a friend. If she takes a second pencil from the drawer at random, what is the probability that the pencil she takes will be green?
A) 1/2 B) 3/7 C) 3/8 D) 1/3
What is B) 3/7?
A magazine had 4000 subscribers at the end of the year 2004. The number of subscribers increased by 10% each year as compared with the previous year. Which of the following is closest to the number of subscribers at the end of the year 2007? A) 4330 B) 4400 C) 5200 D) 5320
What is D) 5320?
Point P(6,7) is plotted on the coordinate grid. Point P is rotated 180 degrees clockwise about the origin. What are the coordinates of the image of point P after this rotation?
A) (7, 6) B) (-6, -7) C) (-7, -6) D) (-6, 7)
What is B) (-6, -7)
The only coins that Irmary has are dimes and quarters. Her coins have a total value of $5.80. She 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 Irmary has.
What is
d + q = 40
.10d + .25q = 5.80
Jordan has four refrigerator magnets, each labeled with a different number. The numbers are 1,2,3, and 4. What is the total number of different 2-digit numbers Jordan could make with these magnets?
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)?
This equation represents the ideal gas law, where T is the temperature: PV=nRT
Which equation has been correctly rearranged to solve for T?
A) T=nR-PV B) T=PV-nR C) T=nR/PV D) T=PV/nR
What is D) PV/nR
Tiffany walked at a speed of 3 miles per hour. Kiana rode her bicycle at a speed of 9 miles per hour. They both traveled the same distance, but it took Tiffany 4 more hours than it took Kiana. How many hours did it take Kiana?
A)2 B)3 C)4 D)6
What is A) 2?
Kelsey placed 5 CD's into her CD player. There are 12 songs on each CD. Kelsey set her 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?
Jon 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 Jon wants to wait until the first day that the price is $100 or less, on which day should he buy his tool set?
A) Wednesday B) Thursday C) Friday D) Saturday
What is C) Friday?
Albert drew the line y =-1/2x+5 on a coordinate plane. On the same coordinate plane, Penny drew a line that is perpendicular to Albert’s line and passes through the point (−4, 3). Which of the following equations represents Penny’s line?
A) y=2x+5 B) y=2x+11 C) y=-2x-5 D) y=-2x-11
What is B) y=2x+11
Ashana bought some small and large picture frames. She paid $3 for each small picture frame. She paid $5 for each large picture frame. She bought a total of 10 picture frames. She paid a total of $36 for all the picture frames. There is no sales tax. What is the number of large picture frames that Ashana bought?
What is 3 large picture frames?
Janessa will arrive at Leah's house at a time between 2 pm and 4 pm this afternoon. At 2 pm, Leah 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 Janessa's arrival time at Leah's house will be random, what is the probability that Janessa will arrive during a commercial?
What is 1/4?
Simplify the expression below: (3x^2 + 2x - 8) - (2x^2 - 4x + 7)
What is x^2 + 6x - 15?
The circumference of Makayla's circular flower garden is 75 feet. Which of the following is closest to the diameter of her flower garden?
A) 24 feet B) 12 feet C) 10 feet D) 5 feet
What is A) 24 feet?
Sara and Kenny went to see a movie at the local theater. Sara paid $13.00 for 1 large box of popcorn and 2 large soft drinks. Kenny paid $8.50 for 1 large box of popcorn and 1 large soft drink. Using the system of equations where p represents popcorn and s represents soft drinks:
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?
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)
Segment AB has one endpoint at A(2,5) and its midpoint is at (4,0). What are the coordinates of B, the other endpoint of AB?
A) (2, -5) B) (3, 2.5) C) (6, -5) D) (6, 2.5)
What is C) (6, -5)?