Algebra RA
Review Chapter 1 & 2
Name: ______________________________
Date:______________ Period: __________
_____1. Which expressions is true?
(1) | -9 + 4| < |-2 + 7|
(2) -13 ≥ |-14|
(3) |-7| ≤ |-28 ÷ 4|
(4) -5 > -2
_____2. Which statement is false?
(1) The set of natural numbers is a subset of the integers
(2) The set of counting numbers is a subset of the set of whole numbers
(3) The set of integers is a subset of the set of counting numbers
(4) The set of even whole numbers is a subset of the integers
_____ 3. Under which operation is the set {1, 3, 5, 7, …} closed?
(1) Addition
(2) Subtraction
(3) Multiplication
(4) Division
_____ 4. Which list is in order from smallest value to largest value?
(1)
10 ,
(2) 3.1,
22
, π, 3.1
7
22
, π,
7
10
22
, 3.1, 10
7
22
(4) 3.1, π,
, 10
7
(3) π,
_____ 5. Which number is rational?
(1)
5
(2) π
(3) .02022022202222…
(4) 9
_____ 6. Which equation illustrates the associative property?
(1) a(1) = a
(2) a + b = b + a
(3) a(b + c) = (ab) + (ac)
(4) (a + b) + c = a + (b + c)
_____ 7. Which operation in the expression
25 ÷ 5 x 3 + 8 – 1 is to be done first?
(1) Multiplication
(2) Addition
(3) Division
(4) Subtraction
_____ 8. What number is named by –(17 + 42)?
(1) 59
(2) 25
(3) -25
(4) -59
_____ 9. Subtracting -13 from the sum of +18 and -4 results in what number?
(1) 35
(2) 27
(3) 9
(4) 1
_____ 10. What is the value of the expression –(33)?
(1) 33
(2) 27
(3) -27
(4) -33
_____ 11. Which expression is equivalent to x-4?
(1)
1
x4
(2) x4
(3) -4x
(4) 0
_____ 12. In A  B, what is the meaning of the symbol  ?
(1) The union of sets A and B
(2) The universal set of A and B
(3) The intersection of sets A and B
(4) The complement of sets A and B
_____ 13. If A = {2, 4, 6, 8, …} and
B = {3, 6, 9, 12, …}, what is A
 B?
(1) {2, 3, 4, 6, 8, 9, 12}
(2) {2, 3, 4, 6, 8, 9, 12, …}
(3) {6}
(4) {6, 12, 18, …}
_____14. If the universal set U = {1, 2, 3, …, 20},
M = {1, 3, 6, 9, 12, 15, 18}, and N = {2, 4, 6, …, 20},
what is M  N ?
(1) {1, 3, 6, 9, 12, 15, 18}
(2) {1, 3, 9, 15}
(3) {6, 12, 18}
(4) {1, 2, 3, 4, …, 20}
15. Simplify the expression |23| + |-9|
16. Find the value of 6-2 · 63
17. Change 42.4% to a fraction in simplest form.
1
gallons of fruit punch for her party. If half of the fruit punch was served, how many
2
gallons of fruit punch did Theresa serve?
18. Theresa had 7
19. Write an irrational number and explain why it is irrational.
20. Simplify: -5[7 – 2(-3)2]
21. Simplify the numerical expression
108  12
+5·9–6
30
22. Name:
a. The additive inverse of 17
1
2
b. The multiplicative inverse of 17
a. _______________
1
2
b. _______________
23. Find the GCF of 24 and 60
24. Find the LCM of 8, 9 and 24
25. Find the value of (32)(12 – 7)
 3
26. Find the value of   
 4
3
27. Give the prime factorization for 72.
28. Given the following statement: If a and b are integers, then a – b = b – a. Determine whether this
statement is true or false. If true, justify. If false, give a counterexample.
29. IF U = {the set of real numbers}, A = {the set of odd numbers}, and B = {the set of prime numbers less
than 12}, what is A  B?
30. There are 30 students on a school bus. Of these students, 24 either play in the school band or sing in the
chorus. Six of the students play in the school band but do not sing in the chorus. Fourteen of the
students sing in the chorus and also play in the school band. How many students on the school bus sing
in the chorus but do not play in the band?
31. Find the value of 66
1
1
÷ 14
2
4
32. Find the difference of  17
1
3
and  13
2
4