Rational Number Operations
What is the absolute value of this integer?
-19
19
The ratio of boys to girls in Ms. Greene's class is 4:3. If there are 12 boys, how many girls are there?
9
7a - 8 - 12a + 4
-5a - 4
Solve for x:
0.5x + 78.2 = 287
x = 417.6
The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?
67.5 feet
What is the value of this expression?
-2 + 8
6
At a company, a copy machine prints 175 pages in 5 minutes. If the number of pages printed is proportional to the time, in minutes, what is the unit rate?
35 pages/minute
Charis invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?
I = PRT
Where I is interest, P is principal, R is rate, and T is time
$8.40
5x + 70 = 320
The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79, 73, 72, 70, 72, 66, 81, 75
What is the median daily high temperature, in degrees Fahrenheit, in the city?
72.5
What is the value of this expression?
-3 + (-5) + 4
-4
Ms. Graves gave her class 12 minutes to read. Carrie read 5 pages in that time. At what rate, in pages per hour, did Carrie read?
25 pages per hour
Simplify the following expression:
(7x - 5) - (3x - 2)
4x - 3
Addison wants to ride her bicycle more than 80 miles this week. She has already ridden her bicycle 18 miles. Which inequality could be used to determine the mean number of miles, m, she would need to ride her bicycle each day for six more days to achieve her goal?
6m + 18 > 80
A child records what type of birds pass by her bedroom window each evening. On Monday, her results were:
- 3 Blue Jays
- 5 Cardinals
- 2 Woodpeckers
Based on this data, what is the probability that a bird flying past her window is a cardinal?
5/10 or 1/2
A diver travels 13 feet below sea level. After a while, he travels an additional 4.5 feet below, before eventually going up 9 feet. What integer represents the final location of the diver?
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
$4.50 / game
Constant of proportionality = 4.5
A company manufactures water bottles. The list below describes the number of water bottles manufactured in three months.
- February: 4,100 water bottles
- March: 7% more water bottles than in February
- April: 500 more water bottles than in March
What is the percent increase, to the nearest percent, in the number of water bottles the company manufactured from February to April?
4,887
Solve for x:
-2x + 5 < 17
x > -6
At a deli, customers buying a sandwich can choose one type of bread, one type of meat, and one type of cheese. The options for each sandwich are listed below.
- Bread: white or wheat
- Meat: turkey or beef
- Cheese: American, Swiss, or cheddar
Assuming each choice is equally likely, what is the probability a customer will choose a sandwich with white bread, turkey, and Swiss cheese?
1/12
A school club needs 300 feet of rope for a project. They have the amounts of rope listed below.
- 2 pieces of rope that are each 16 yards in length
- 1 piece of rope that is 12.5 yards in length
- 1 piece of rope that is 123.25 feet in length
How much additional rope, in feet, does the school club need in order to have enough rope for their project?
(Hint - 1 yard = 3 feet)
43.25 feet
Marty types at an average rate of 25 words per minute. Write an equation that could be used to determine the average number of words, w, Marty types in t minutes.
w = 25t
A furniture store is advertising a 20% discount on the price of sofas. Scott chooses a sofa with a discounted price of $460.00. He must also pay an 8% sales tax. How much money will Scott save on the discounted sofa, including tax, compared to the originally priced sofa, including tax?
$124.20
Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played?
4
72 in2