Rational Number Operations
-2.7 + 3.1
0.4
What is the area of a square with side length of 6?
36
Simplify:
-3(10m - 2) + (3 + 6m - 3)
-24m + 6
What is a unit rate?
A rate that has a 1 in the denominator
What is 3/4 as a percent?
75%
-2 1/2 + 1 1/2 - 3 1/4
-4 1/4
What is the area of a rectangle with sides 3 in and 8 in?
24 in2
Simplify 1/5x(5y + 60)
xy + 12x
Dolores and Alejandra both drive 25 miles. Dolores drives at a constant speed of 50 miles per hour. Alejandra drives at a constant speed of 75 miles per hour. Who takes longer to drive 25 miles? How much longer?
Dolores takes 10 minutes longer.
If there are 3 red marbles, 4 green marbles, and 5 blue marbles in a bag, what is the probability of reaching into the bag and selecting a green marble?
4/12 or 1/3
Victoria is playing a game. First, she lose 4.8 points. Then she gains 2.5 points. Finally, she loses another 7.8 points. What is the overall change in her score?
-10.1
What is the area of a triangle with a base of 5 and a height of 12?
30
3y - 9 = 24
y =
11
Kaley is listening to a song that has a consistent beat. She counts 11 beats in 5 seconds. What is the constant of proportionality of beats to seconds?
11/5 or 2.2/1
If there are 3 red marbles, 4 green marbles, and 5 blue marbles in a bag, what is the probability of reaching into the bag and NOT selecting a red marble?
9/12 or 3/4
Estimate -6 3/5 - (-7 4/15) + 2 1/5
2
What is the circumference of a circle with a diameter of 5? (use 3.14 for pi)
15.7
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
$4
Gears A and B turn together. Gear A turns 20 times when Gear B turns 30 times. When Gear A turns 60 times, how many times does Gear B turn?
90
What is 75% of 12?
9
The temperatures in a commercial freezer over four days are -2.36, 1.68, -1.81, and 0.67. What is the mean temperature?
-0.455
What is the area of a circle with a radius of 7? Use 3.14 for pi.
153.86
Zander joins a gym. He gets $2 per month off the regular monthly rate for 3 months. Zander pays $49.50 for 3 months. What is the gym's regular month rate?
r = 18.5
Richard and Cesar volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 6 hours and fill 126 boxes. Richard fills 9 boxes every hour. How many boxes does Cesar fill every hour?
12 boxes per hour
What is 60% of 50?
30