Numbers
Rational Or Irrational?
0.75
Rational
A mouse has made holes in opposite corners of a rectangular kitchen. The kitchen is 3 meters by 4 meters. If the mouse runs straight from one hole to the other, how far will it run?
5 Feet
Solve for y.
y − 1 = 2.9
y =
3.9
Madison needs to order some new supplies for the restaurant where she works. The restaurant needs at least 400 spoons. There are currently 219 spoons. If each set on sale contains 18 spoons, which inequality can be used to determine xx, the minimum number of sets of spoons Madison should buy?
400≤219+18x
The width of a rectangle measures (5r+8s) centimeters, and its length measures (7r−7s) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
2s+24r
Rational Or Irrational?
21.6
Rational
Kristen is fishing from a small boat. Her fishing hook is 6 meters below her, and a fish is swimming at the same depth as the hook, 8 meters away. How far away is Kristen from the fish?
10 Feet
Solve for y.
y3 = 2.9
y =
8.7
David has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
Which inequality can be used to determine xx, the maximum number of outfits David can purchase while staying within his budget?
344.97+79.43x≤540
Rewrite in simplest terms: 9(−w−8)+w
−8w−72
Rational Or Irrational?
Pie
Irrational
Rhianna takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut she makes is 20 centimeters long and the width of the paper is 12 centimeters. What is the paper's length?
16 Feet
Solve for z.
z3 = 3.7
z =
11.1
Under his cell phone plan, Jeriel pays a flat cost of $53 per month and $3 per gigabyte. He wants to keep his bill under $65 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Jeriel can use while staying within his budget?
65>3x+53
Combine the like terms
2w+3−3w−7?
−4−w
Rational Or Irrational?
0.314159265
Irrational
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 8 kilometers, and the eastbound car has traveled 15 kilometers. Measured in a straight line, how far apart are the two cars?
17 Feet
Solve for p.
4p = 10
p =
2.5
A shipping container will be used to transport several 80-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 6000 kilograms have already been loaded into the container. Which inequality can be used to determine xx, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
24500≥6000+80x
Combine the like terms
x+6x−x?
6x
Rational or Irrational?
9.45454545
Rational
Mrs. Hensley is teaching a 5th grade class. She is standing 12 feet in front of Tara. Jayden is sitting to Tara's right. If Jayden and Mrs. Hensley are 13 feet apart, how far apart are Tara and Jayden?
5 Feet
Solve for q.
2q = 11.2
q =
5.6
A rental car company charges $26.03 per day to rent a car and $0.13 for every mile driven. Malik wants to rent a car, knowing that:
Which inequality can be used to determine dd, the maximum number of days Malik can afford to rent for while staying within his budget?
26.03d+32.5≤350
A triangle has side lengths of (10f+6) centimeters, (2f−4) centimeters, and (9g+1) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
9g+3+12f