Operations with Integers
The temperature was 5°C in the morning and dropped 8 degrees by night. This is the final temperature.
-3°C
The ratio of boys to girls in a class is 3:2. If there are 15 boys, this is the number of girls.
10 girls
A number increased by 6 is written as this algebraic expression.
x + 6
The equation x + 7 = 15 is solved for x. This is the value of x.
x = 8
The data set is 7, 2, 9, 5, 7. This is the mean of the data.
6
A submarine is at −20 meters and rises 15 meters. This is its new position.
-5 meters
A recipe uses 2 cups of flour for every 3 cups of sugar. If 6 cups of sugar are used, this is the amount of flour needed.
4 cups of flour
Three times a number decreased by 4 is written as this expression.
3x - 4
The equation 3x = 21 is solved for x. This is the value of x.
x = 7
The data set is 12, 3, 8, 3, 10, 5. This is the median of the data.
6.5
A bank account has a balance of −$12. A deposit of $25 is made. This is the new balance.
$13
A car travels 120 miles in 2 hours at a constant rate. This is the number of miles it travels in 5 hours.
300 miles
The total cost of x notebooks at $2 each and a $5 fee is represented by this expression.
2x + 5
The equation 3(x − 2) + 4 = 19 is solved for x. This is the value of x.
x = 7
The data set is 4, 9, 2, 9, 6, 9, 1. This is the mode of the data.
9
A player loses 6 points each round for 4 rounds. This is the total change in points.
-24 points
A map scale shows 1 inch represents 8 miles. If two cities are 3.5 inches apart on the map, this is the actual distance.
28 miles
Five less than twice a number, all divided by 3, is written as this expression.
(2x − 5) ÷ 3
Three times a number plus 2 is at most 20. This inequality represents the possible values of the number.
3x + 2 ≤ 20 OR x ≤ 6
The data set is 15, 3, 11, 8, 3, 10, 6, 3. This is the range of the data.
12
A diver is at −12 meters below sea level. She descends 8 meters, then ascends 5 meters, and finally descends 3 more meters. This is her final position.
-18 meters
A store is having a sale where 5 shirts cost $60. At the same rate, this is the cost of 8 shirts.
$96
A gym charges $10 to sign up and $15 per month. This expression represents the total cost after m months.
15m + 10
A gym charges a $25 sign-up fee and $10 per month. This inequality shows how many months (m) you can go if you want to spend no more than $85.
10m + 25 ≤ 85 OR m ≤ 6
The data set is 18, 5, 12, 7, 10, 5, 14, 9, 5. This is the mean, rounded to the nearest tenth.
9.4