Operations
Simplify the following:
(2 + 4) + (-5) - (-2 + 4) + 1
0
Simplify the expression shown.
-4(2 + 3x)
-8 - 12x
Tim's bill at a restaurant is $40. Tim pays the bill, and adds a 25% tip for the server. What is the total amount of money Tim spends at the restaurant?
$50
What is the volume of a rectangular prism with a length of 10 meters, width of 17 meters, and a height of 2.5 meters?
425 cubic meters
Lynn has a package of candy that contains 1 blue piece, 3 red pieces, 6 yellow pieces, and 8 green pieces. She randomly selects a piece of candy from the package. What is the probability that she selects a yellow piece of candy?
1/3
What is the value of the following?
18 - 3 (2 + 1 ) x 3
-9
Simplify.
-3(-4x + 2)
12x - 6
Jack ran 1/2 mile in 5 minutes. How fast was Jack running in miles per hour (mph)?
6 mph
A rectangular prism has a height of 12 inches and a width of 4 inches. Its volume is 144 cubic inches. What is the length of the prism?
3 in.
A bag contains 14 green marbles, 16 white marbles, 21 black marbles, 10 red marbles, 20 yellow marbles, 15 orange marbles, 13 purple marbles, and 15 blue marbles. Which color of these marbles is the least likely that Nathan will select?
red
What decimal is equivalent to 11/4?
2.75
Factor the following expression using the GCF.
8h - 24
8(h - 3)
Franco buys pizzas and sandwiches for a party. Franco buys 30 items total, with the ratio of 2:3 pizzas to sandwiches. How many pizzas did Franco buy?
10, 12, 18, or 20
12 pizzas
A cylinder has a base area of 3π square units and a height of 7 units. What expression should be used to calculate the volume in cubic units of the cylinder?
3π (7)
Mack rolls a fair six-sided die 5 times. The results are shown.
4, 4, 6, 6, 4
What is the probability that his next roll is a 3 or less?
1/2 or 50%
In a school election, Amy received 48 votes. Neil received 1/4 the number of votes Amy received. Their votes combined equaled 40% of the number of votes cast. How many students voted in the election?
150
Simplify.
3(-5x + 2) + 20x - 7
5x - 1
Emma went shopping. The cost of the items she bought was $46 before 7% sales tax was added. What is the total amount Emma spent on her purchase?
$49.22
A cube has an edge length of 20 millimeters. All faces of the cube will be painted. What is the total area, in square millimeters, that will be painted?
2400 square millimeters
A spinner is divided into 4 colored sections that are not equal in size. The arrow on the spinner is spun 100 times and the color is recorded each time.
3/20
A floor will be tiled with square tiles. Each tile is 4 1/2 inches wide. The floor is 6 ft wide. Between each tile is 1/4 in of grout. How many complete tiles will fit in each row across the floor?
15 tiles
Simplify the following expression.
(7x + 2) - (-2x - 19)
9x + 21
Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?
2 6/7 hours
A fish tank in the shape of a rectangular prism has a volume of 15.625 cubic feet. The area of the base of the tank is 6.25 square feet. What is the height of the fish tank in feet?
2.5 feet
Marcus has unpaired socks of three different colors in a drawer: 10 gray, 6 blue, and 16 black. He pulls 1 gray sock from the drawer. He picks the next sock at random. What is the approximate probability that it is also gray?
9/31 or 0.29