Number System
What integer represents the opposite of -(-4)?
-4
The population of New York is about twice that of Paris. Write the ratio of the population of New York to the population of Paris.
2:1 or 2 to 1 or 2/1
It costs $30 per month for a cell phone plan plus $10 for every GB of data. Write an expression that can be used to represent the cost of the cell phone bill. Let x represent the number of GB of data used.
30 + 10x
10x + 30
Solve the equation for x.
x + 15 = 47
32
Calculate the area of a parallelogram with a base of 15 feet and a height of 20 feet.
300 square feet
The balance on your savings account is -50, which means that you have $50 of debt. A monthly charge increases the amount of your debt by $10. What integer represents your new balance?
-60
Paul spends $280 to replace all 5 tires for his car, including the spare tire in the trunk. How much money does each tire cost?
$56
Simplify the expression (3x + 8) + (4x + 2).
7x + 10
Solve the equation for x.
-3x = 39
-13
Calculate the area of a triangle with a base of 4 inches and a heights of 3 inches.
6 square inches
What is the least common multiple (LCM) of 8 and 12?
24
What is 40% of 50?
20
9k + (16 - r)
What is the value of the expression if k = 6 and r = 4?
66
Solve the equation for x.
x/4 = 12
48
What is the volume of a rectangular prism with the following dimensions?
length = 1/2 in
width = 3/8 in
height = 4/9 in
1/12 cubic inches
The highest elevation in Louisiana is 535 feet above sea level. The lowest elevation in Louisiana is 10 feet below sea level. What is the difference between the highest and lowest elevations in Louisiana?
545 feet
On a map, 5 centimeters is equal to 140 kilometers. How far apart are two towns which are 18 centimeters apart on the map?
504 kilometers
What is the value of 1/(93)?
1/729
What is the solution to the inequality 9 > 3x?
x < 3
3 >x
The quiz scores in Mr. Smith’s class are shown below.
94, 81, 74, 78, 95, 83, 89, 80, 79, 82
Calculate the interquartile range of the data.
10
What is the greatest common factor (GCF) of 72 and 108?
36
In last night's basketball game, Jay made 9 free throws and missed 3 free throws. What percent of free throws did Jay make?
75%
What is the value of the following expression?
(20 - 17)3 + (9 + 1)2
127
What is the solution the inequality?
-2x > 14
x < -7
The test scores in Mr. Smith’s class are shown below.
82, 94, 81, 70, 74, 78, 95, 83, 89, 80, 55, 79
Calculate the mean test score of the class.
80