Mixed Problems
Integers
Rational #'s
Word Problems
Mixed Integers/Rational #'s
100
Amy is scuba diving. She starts at sea level and then descends 20 feet in 3 1/2 minutes. How would you represent Amy’s descent as a unit rate? Express your answer as an integer.
-20 / 2 1/2 = -8
100
-12 + 16
4
100
0.6 / (1/2)
1.2
100
Jake runs up 5.5 flights of stairs. How far will Jake have to run down to represent the additive inverse?
-5.5
100
-5*-7
35
200
In the first round of a card game, Bill scored 13 points. Then, he lost 9 points on one turn and also lost 18 points on his final turn. What is Bill’s final score?
13 + -9 + -18 = -14 points
200
-4 + -14
-18
200
5/8 / -2/6
-1 7/8 or -1.875
200
Mrs. Marrow is purchasing 2.6 pounds of potatoes that costs $2.45 per pound.
What is the total cost of the potatoes purchased by Mrs. Marrow?
$6.37
200
8-12
-4
300
A pilot is returning to the ground. If the plane is descending at a rate of 18.71 feet per minute, what will be its change in height after 7 1/2 minutes? Round your answer to the nearest foot.
140 feet
300
18 - (-8)
26
300
-5 1/3 * -14
74 2/3 or 74.6...
300
Six out of nine cats weigh less than 15 pounds. What is the decimal equivalent for the number of cats weighing under 15 pounds?
6/9 or .6 repeating
300
64/ -8
-8
400
A course for a marathon is 26.2 miles long. There is a water station every 5 1/10 miles along the route and at the end. How many water stations are needed for the marathon?
6
400
Kate and Cam are at a pool. Kate dives in and touches the bottom of the pool, 22 feet below the surface of the water. Cam is standing on a diving platform 5 feet above the surface, waiting for his turn. What is the vertical distance between Kate's hand and Cam’s feet?
27 feet
400
0.8 * 7.2
5.76 or 5 19/25
400
Write an equation for the number line below.
-5 +12 = 7
400
10 3/8 - 4 6/9
5 17/24 5.7083 3 repeats
500
A fish finder shows a large fish at 22 feet below the surface of the water and a smaller fish located 9 feet below the surface of the water. Write an equivalent expression using absolute value to find the distance between the fish.
Absolute value of -22 - -9 Answer: -13 absolute value distance 13 ft
500
A catering company loses $240 as a result of a delay. The 8 owners of the company must share the loss equally. Write a quotient to represent each owner’s share of the loss.
-240 / 8 = -30 (each owe dollars)
500
If Mrs. Marrow spends $5.45 on 2.5 pounds of potatoes and pays with a $20 bill, how much change will she get back?
$6.37
500
John's bank account charges a fee of $9.50 each month that a balance is below $800. If he currently has $505 in his account and does not make any deposits or withdrawals, how much money is in John's account at the end of five months?
$457.50
500
-7/12 * 2/5
-7/30 or -.23 3 repeats