Name: ________________________ Class: ___________________ Date: __________
ID: A
Accentuate the Negative Study Guide
Short Answer
1. A bakery bought 225 pounds of baking powder. It used 6.8 pounds per day. How much did the bakery have
left after three days? Write number sentences to show your work.
2. Ray is in debt $32 right now. He had owed more, but he has been paying $6 a month on his debt for the last
five months.
a. How much was Ray in debt five months ago?
b. At his present rate, how much longer will it take Ray to pay off his debt? Explain your reasoning.
Solve the problem.
3. −12 − −11 =
4. 11 − −8 =
5.
−24
=
−6
6. 25 × −6 =
7. −12 × −5 =
8. −27 ÷ 3 =
9. Terri made up a game of darts for a party. To play the game, you throw three darts at the board and then total
your points. The highest score wins. Everyone at the party played the game several times. List all possible
scores for three darts if all three hit the target.
Answer true or false, and explain your answer.
10. The sum of two negative integers is always negative.
11. The sum of a negative integer and a positive integer is always positive.
12. The product of two negative integers is always negative.
13. The product of a negative integer and a positive integer is always negative.
14. Write a number less than –1000.
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Name: ________________________
ID: A
Tell how far apart the two numbers are on a number line.
15. –5 and –12
Solve the problem.
16. –14 – +8 =
17. 90 – –99 =
18. 16 +12 + –4 =
19. The temperature for the past 8 hours has been changing at the rate of –1.5° each hour. The meteorologist
predicts that the temperature will continue changing like this for the next 6 hours. The present reading is 0°?
a. What was the temperature reading 7 hours ago?
b. What temperature is predicted for 6 hours from now?
c. When was the temperature reading 6°?
d. When is the temperature expected to be –8°?
20. Use this information: Suppose you are in a building in which the floors are numbered from 0 to 15. The
building has an underground parking garage with 10 levels, which are numbered from –1 to –10. Which floor
is farther from floor –2? (Drawing a picture may help you solve this problem.)
a. floor 7 or floor –10
b. floor 2 or floor –8
c. floor 1 or floor –5
21. What value is represented by each set of chips? (B = black, R = red)
a.
d.
g.
5 B, 3 R
5 B, 6 R
5 B, 5 R
b.
e.
h.
5 B, 4 R
3 B, 5 R
6 B, 5 R
c.
f.
5 B, 5 R
4 B, 5 R
22. Suppose the Rocky Mountains have 72 centimeters of snow. Warmer weather is melting the snow at a rate of
5.8 centimeters a day. If the snow continues to melt at this rate, after seven days of warm weather, how much
snow will be left?
23. Find the answers of the following number sentences.
a. (5 + –3) × 4 – 2
b. 32 × –7 + 2
c. 4 – 4 × 2 + 2 × –1
d. 2 × (3 + –10) – 22
e. 10 – (50 ÷ (–2 × 25) + 7) × 22
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Name: ________________________
ID: A
24. Use the distributive property to write an expression equal to each of the following. Solve for parts (a) and (b)
and simplify the expression in part (c).
a. –2 • (–8 + 5)
b. (–7 • –2) – (–7 • –12)
c. x • (9 + –5)
25. In the school’s Future Investors Club stock market game, the following gains/losses in stock price were
earned over 10 days.
Companies often plot stock price gains/losses to display the changes over time. Plot a graph of the (day,
gain/loss) data for the Future Investors Club.
26. Use the distributive property to write each of these calculations in an equivalent form.
a. (56 × 115)+ (56 × −15)
b. 10 × (−6 − 3)
Find the missing value.
27. ? × 8 = 56
28. 12 × ? = −36
29. ? × −10 = 90
30. 7 × ? = −147
31. ? ÷ 18 = −54
32. 64 ÷ ? = 8
33.
2
10
×? =
3
24
34. ? × 13 = −169
35. 3
1
÷ ? = −8
3
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Name: ________________________
ID: A
36. Find the answers to the following expressions.
5×8÷2÷2
b. 3 + –5 × 4 – 2
a.
5 × 2 × –3 + –12 ¸ 6
d. –4 × (3 + –10) – 32
c.
2
–
(8 – 20) ÷ 2 – 5 × 3
f. 20 – (60 ÷ (–2 ´ 30) – 8) × 22
e.
−10
2
+ 13
12 – 8 + 4 – 3
g.
h. 4 +
2
37. Find each missing value.
a.
c.
4 × 8 + 4 × 22 = 4 × ?
−6 × ? = −6 × 15 + −6 × −5
−12 × 43 + −12 × −3 = −12 × ?
−0.4 × ? = −0.4 × −0.7 + −0.4 × −0.3
b.
d.
38. Use the distributive property to write an expression equal to each of the following:
b.
a.
−3 ⋅ (4 + −7)
(−5 ⋅ 3)− (−5 ⋅ −13)
c.
d.
10 ⋅ (−3 + 5)
(−12x)+ (4x)
e.
2 ⋅ (2 − −4)
f.
(x)− (4x)
39. Robert wrote 9 × −6 − (−1 + 8). What is the solution to Robert’s expression?
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