Student Name
Class / Section
Grade / Year
Teacher
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
A bank account is overdrawn by $85. It receives deposits of $140 and $35 on two successive days, then a withdrawal of $96 and a monthly fee of $12. What is the final balance?
(3 pts)
2.
A city’s temperature is −7°C at dawn. It warms by 9°C, cools by 4°C, drops another 5°C, and then rises by 6°C. What is the final temperature?
(3 pts)
3.
An elevator starts at level B3 (count this as −3). It rises 7 floors, then descends 11 floors, then rises 5 floors. Which floor does it stop on?
(3 pts)
4.
A submarine is at a depth of 120 m below sea level. It dives 65 m, ascends 150 m, then dives 48 m. What is its final depth relative to sea level?
(3 pts)
5.
A hiker begins at 1,240 m above sea level, descends 180 m, climbs 360 m, then descends 95 m. What is the hiker’s final altitude?
(3 pts)
6.
Two integers x and y satisfy x + y = −11 and x − y = 7. What is the smaller integer?
(3 pts)
7.
The sum of three consecutive integers is −30. What is the greatest of the three?
(3 pts)
8.
A robot on a number line starts at −12. It moves right 15 units, then left 19 units, then right 8 units. Where does it end?
(3 pts)
9.
A helicopter is at 1,250 m altitude, and a submarine is at −380 m. The helicopter descends 420 m while the submarine ascends 95 m. After these changes, what is the vertical distance between them?
(3 pts)
10.
An integer n satisfies |n| + 5 = 2n − 3. Find n.
(3 pts)
11.
A team’s score changes by +7, −12, +9, −5, and +4 over five rounds. Starting from 0, what is the final score?
(3 pts)
12.
A day starts at 6°C. Over four intervals, the temperature changes by −11°C, +4°C, −9°C, and +7°C. What is the final temperature?
(3 pts)
13.
Solve for the integer k: −4 + k − 7 + 3k = 9.
(3 pts)
14.
In a parking structure, ground is 0. A car starts at level −2, goes up 5 levels, then down 3, then up 4. Which level is the car on?
(3 pts)
15.
A walker starts at 0 on a number line and makes moves of +8, −13, +7, −4, and +10. What is the final position?
(3 pts)
16.
You start at −20 on a number line, add an integer x, then subtract 9, and arrive at −12. Find x.
(3 pts)
17.
Path A moves +18, −25, +14 from 0. Path B moves −9, +22, −5 from 0. What is the absolute difference between their final positions?
(3 pts)
18.
An integer is such that its opposite is 6 more than the integer itself. What is the integer?
(3 pts)
19.
Starting at −2°C, the temperature changes every hour by −3°C, then +5°C, then −4°C, repeating this three-step cycle twice. What is the final temperature?
(3 pts)
20.
Start with the integer 9. First take its opposite, then add −7, then subtract the opposite of −4. What integer do you get?
(3 pts)
21.
If integers x and y satisfy x + y = −17 and x − y = 3, the smaller integer is
(3 pts)
22.
Evaluate: 4 − { −3 − [2 − (−5)] } =
(3 pts)
23.
If |m − 6| = 11 and m is an integer, the smaller solution is
(3 pts)
24.
The distance between −17 and 8 on the number line is
(3 pts)
25.
The opposite of the sum (−12) + 7 + (−5) is
(3 pts)
26.
Compute: (−6) × [ (−3) + 5 ] − { (−4) × [ 2 − (−1) ] } =
(3 pts)
27.
If the sum of three consecutive integers is −21, the middle integer is
(3 pts)
28.
Solve for n: −3 + 2n = 11 → n =
(3 pts)
29.
Starting at −14, moving 6 units right and then 9 units left lands at
(3 pts)
30.
The sum of all integers from −12 to 5 inclusive is
(3 pts)
31.
Evaluate: |−18| − |5 − (−9)| =
(3 pts)
32.
The integer closest to zero among { −17, 9 − 12, (−3) × 2 } is
(3 pts)
33.
If 4 + [−2 − (q)] = −5, then q =
(3 pts)
34.
Compute: 50 − (−40) − (−2) − 7 =
(3 pts)
35.
If |r| + |r − 4| = 10 and r ≤ 4, then r =
(3 pts)
36.
The number of integers strictly between −13 and 6 is
(3 pts)
37.
Evaluate: (−2) × (−7) + (−3) × 5 − [−4 × (−2)] =
(3 pts)
38.
The smaller integer n satisfying |n + 5| = 14 is
(3 pts)
39.
Subtracting the opposite of −27 from −8 gives
(3 pts)
40.
Solve for t: t − [−(t − 9)] = −3 → t =
(3 pts)