Name______Class______Date______
Integer Review handout
Identify the letter of the choice that best completes the statement or answers the question.
____ 1. Which pair of expressions has the same value?
a. / / b. / / c. / / d. /____ 2. Which of the following is a true statement?
a. / / b. / / c. / / d. /3. Graph the integers on a number line.
–5, 3, 1
Name the opposite of the integer.
4. –3
5. –1
SHOW ALL WORK as you complete the problems below. Remember, you may NOT use a calculator.
6. 2 + 31
7. –22 + (–3)
8. 14 + (–11)
9. 8 – 10
10. 6 – 3
11. –8 – (–7)
12.
13.
14.
15. (−21)/(−7)
16. −10/5
17.
18. Order the integers from least to greatest.
–6, –1, 6, 8, 15
19. Evaluate.
6 – (–4) – (–9)
20. A submarine was cruising at 180 feet below sea level. Then it dove to 315 feet below sea level . Use an integer to describe, in feet, the change in the submarine’s depths.
Find the absolute value.
21.
22.
Compare. Use <, =, or >.
23. –4 + (–10) 12 + (–11)
24.
25. Janice listed the integers below on the chalkboard. Which of these integers has the greatest opposite?
–2, –5, 13, –9, –7, 9, 2
26. One day at 3:00 A.M., the temperature was –11°F in Kodiak, Alaska. At 10:00 A.M., the temperature was 24°F. What was the average change in temperature per hour?
Simplify the expression.
27.
28. Sarah owns a small business. There was a loss of $14 on Thursday and a loss of $12 on Friday. On Saturday there was a loss of $11, and on Sunday there was a profit of $16. Find the total profit or loss for the four days.
29. Does the associative property apply to subtraction? In other words,does a–(b–c)=(a–b)–c? Use integers to help you explain.
30. When you add two integers, the sum always takes the sign of the integer with the greatest absolute value. Is this statement true or false? Justify your answer with examples.
31. The products below show that sometimes the product of negative integers is positive and sometimes the product is negative.
How can you predict the sign of the product without multiplying? Explain.