Download Review 1 - Humble ISD

Name_______________________Period_______Date_______Algebra 3 Review 1 --- 1.2 – 1.7
represents.
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
2) Given the set 11,  , 2, 7,8.34  list the
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
numbers in each set they belong:
a. Natural numbers:________________________
b. Whole numbers:_________________________
c. Integers:_______________________________
d. Rational numbers:________________________
e. Irrational numbers:_______________________
f. Real numbers:___________________________
a. Natural numbers:________________________
b. Whole numbers:_________________________
c. Integers:_______________________________
d. Rational numbers:________________________
e. Irrational numbers:_______________________
f. Real numbers:___________________________
1) For each of the following, list the set it best
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3) Given the set 4,  , 2.3, 0, 6, ,3  list the numbers in each set they belong:
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
a. Natural numbers:________________________
b. Whole numbers:_________________________
c. Integers:_______________________________
d. Rational numbers:________________________
e. Irrational numbers:_______________________
f. Real numbers:___________________________
****Determine if the following statements are True (T) or False (F).
a. Every natural number is also a whole number.
b. Every negative number is also an integer.
c. A number can be both rational and irrational.
d. Every irrational number is also a real number.
4) Insert >, < or = to make the statement true.
a. 22 _____ 11
b.  6 _____ 6
c.
16
_____ 8
2
d. 0.52 _____ 0.55
e. 3 ______ 7
5) Write each sentence as a mathematical statement. Use the symbols >, < , ≤ , ≥ , ≠ and =.
a. Five is greater than or equal to three___________
b. Negative two is less than zero____________
c. Six is less than or equal to nine_______________
d. One-half is equal to four-eighths__________
e. Absolute value of negative one is not equal to negative one_______________
6) Simplify the following.
a. |-2| = _________
b. |4| = _________
c. |-5.6| =__________
d. |0.25| = __________
7 ) Find the product of primes of the following.
a. 81 = ____________
b. 45 = _____________
c. 40 = ____________
d. 70 = ___________
8) Write each fraction in lowest terms.
a.
15
=_____
10
b.
32
=______
44
c.
56
=______
42
d.
39
=_____
9
9) Perform the indicated operation. Write your answer in lowest terms.
a.
1 6
 =______
2 7
b.
16 21
 =______
9 8
c.
5 15

=______
11 44
d.
36 9
 =______
25 10
e.
3 10
 =______
5 3
f.
4 1
 =______
15 15
g.
7 3
 =______
15 10
h.
9 2
 =_______
7 7
1 5
i. 3  =_______
4 6
1
j. 4  2 =_______
5
3
m. 2 1 =_______
4
n.
2 2
 2 =_______
3 3
1
3
k. 5  2 =______
3
4
o.
4
2
 2 =______
3
3
2
l. 6  3 =______
3
1
1
p. 1  3 =______
4
8
10) List the order of operations:
11) Simplify the following.
a. 5  6  2
c. 6  2  2  25
b. 4  8  6  2
d. 3  22   4   6  
e.
3  6 8  5
f.
42  2
16  13  5  32
17  5
12) Find the opposite or additive inverse of the following.
b. 
a. 9
1
3
c.  2
d. 
4
3
13) Find the reciprocal or multiplicative inverse of the following.
a.
1
8
b. 4
14) Perform the indicated operation of real numbers:
4  1
a.     
b. 8.3   0.62 
7  7
e. 
2
25

15
6
f. 4  ( 6)
c. 
3
2
c. 5
c. 4  5
1 1
d.  
2 4
 1
g. 5    
 4
h. 
16
8

27
45
15) Evaluate the following for x = 1, y = -4, and z = 2
b. x  y  2
a. x  y
c.
x2  y  x  z
z3  y
16) Write an algebraic expression or equation for each of the following.
a.
b.
c.
d.
e.
f.
g.
h.
The sum of three times a number and two.___________________
The difference of four and a number._______________________
The product of five and a number._________________________
The quotient of sixteen and a number.______________________
Nine decreased by twice a number is the same as four plus the number.________________________
Seven less than a number equals the quotient of the number and two.__________________________
Eight times a number increased by four is three.___________________________________________
The ratio of two and a number is the same as five less than the number.________________________
17) Determine if x = 3 is a solution to the following equations.
a. 7 x  6  9x
b. 2 x  5  x 2  1
c. x  4  2  2 x  5
d.
x2 x

10
9
18) For the equation x 2  2  11, determine if the following numbers are solutions.
a. 2
b. 3
c. 1
d. -3