Download Practice 1.1 Integers, Absolute Value, and Order of Operation

Practice 1.1
Integers, Absolute Value, and Order of Operation
1. 5²
2. (5)²
3. –5²
4. (–5)²
5. –(–5)²
6. 3³
7. (3)³
8. –3³
9. (–3)³
10. –(–3)³
11. 12 – (5 + 9)
12. (-5)(-4)(-18)
13. – (4)(-3)
14. 16 – (–3 – 8)
15. (-30 – 30) ÷ (-5)
16. (–5)³
17. –9(3 ÷ 3) + 4(–5 · 9) ÷ 3
18.
–
=
19.
Evaluate if a = –5, b = –8, and c = 2
20. 3|a – 2b|
21.
22.
23. c – |b|
Simplify the expression
24.
27.
25.
28.
26.
29.
30. Mahukona is a Hawaiian volcano whose summit (the highest point) has an elevation of –3600 feet. The
summit once had an elevation of 800 feet. What was the change in elevation of the volcano’s summit?
31. You are descending from the top of a 32-foot tall rock climbing wall at an average rate of –2.3 feet per
minute. How many feet off the floor are you in 5 minutes? How many feet off the floor are you in 10 minutes?
Approximately when will you reach the ground?
32. CHALLENGE Let a and b be negative numbers. Tell whether the value of the expression is positive
or negative. Explain your reasoning.
a. |a + b|
b. –a – b
c. –|a|–|b|
d. ab
e. a²
Tell whether the statement true or false. If it is false, give a counterexample.
33. If x is negative then x² is positive.
34. If the product of three numbers is positive, then all three numbers are positive.
35. If the product of four numbers is 0, then at least one of the numbers is 0.
36. Order x, x + 3, and x –2 on a number line. Does the order change depending on whether x is positive or
negative? Explain.