report

homework section 1.2 college algebra

1.1 Real Numbers: Algebra Essentials

  • ⓐ 11 1 11 1
  • β“’ βˆ’ 4 1 βˆ’ 4 1
  • ⓐ 4 (or 4.0), terminating;
  • β“‘ 0. 615384 Β― , 0. 615384 Β― , repeating;
  • β“’ –0.85, terminating
  • ⓐ rational and repeating;
  • β“‘ rational and terminating;
  • β“’ irrational;
  • β““ rational and terminating;
  • β“” irrational
  • ⓐ positive, irrational; right
  • β“‘ negative, rational; left
  • β“’ positive, rational; right
  • β““ negative, irrational; left
  • β“” positive, rational; right
  • ⓐ 11, commutative property of multiplication, associative property of multiplication, inverse property of multiplication, identity property of multiplication;
  • β“‘ 33, distributive property;
  • β“’ 26, distributive property;
  • β““ 4 9 , 4 9 , commutative property of addition, associative property of addition, inverse property of addition, identity property of addition;
  • β“” 0, distributive property, inverse property of addition, identity property of addition
  • β“’ 121 3 Ο€ 121 3 Ο€ ;
  • ⓐ βˆ’2 y βˆ’2 z or  βˆ’2 ( y + z ) ; βˆ’2 y βˆ’2 z or  βˆ’2 ( y + z ) ;
  • β“‘ 2 t βˆ’1 ; 2 t βˆ’1 ;
  • β“’ 3 p q βˆ’4 p + q ; 3 p q βˆ’4 p + q ;
  • β““ 7 r βˆ’2 s + 6 7 r βˆ’2 s + 6

A = P ( 1 + r t ) A = P ( 1 + r t )

1.2 Exponents and Scientific Notation

  • ⓐ k 15 k 15
  • β“‘ ( 2 y ) 5 ( 2 y ) 5
  • β“’ t 14 t 14
  • β“‘ ( βˆ’3 ) 5 ( βˆ’3 ) 5
  • β“’ ( e f 2 ) 2 ( e f 2 ) 2
  • ⓐ ( 3 y ) 24 ( 3 y ) 24
  • β“‘ t 35 t 35
  • β“’ ( βˆ’ g ) 16 ( βˆ’ g ) 16
  • ⓐ 1 ( βˆ’3 t ) 6 1 ( βˆ’3 t ) 6
  • β“‘ 1 f 3 1 f 3
  • β“’ 2 5 k 3 2 5 k 3
  • ⓐ t βˆ’5 = 1 t 5 t βˆ’5 = 1 t 5
  • β“‘ 1 25 1 25
  • ⓐ g 10 h 15 g 10 h 15
  • β“‘ 125 t 3 125 t 3
  • β“’ βˆ’27 y 15 βˆ’27 y 15
  • β““ 1 a 18 b 21 1 a 18 b 21
  • β“” r 12 s 8 r 12 s 8
  • ⓐ b 15 c 3 b 15 c 3
  • β“‘ 625 u 32 625 u 32
  • β“’ βˆ’1 w 105 βˆ’1 w 105
  • β““ q 24 p 32 q 24 p 32
  • β“” 1 c 20 d 12 1 c 20 d 12
  • ⓐ v 6 8 u 3 v 6 8 u 3
  • β“‘ 1 x 3 1 x 3
  • β“’ e 4 f 4 e 4 f 4
  • β““ 27 r s 27 r s
  • β“• 16 h 10 49 16 h 10 49
  • ⓐ $ 1.52 Γ— 10 5 $ 1.52 Γ— 10 5
  • β“‘ 7.158 Γ— 10 9 7.158 Γ— 10 9
  • β“’ $ 8.55 Γ— 10 13 $ 8.55 Γ— 10 13
  • β““ 3.34 Γ— 10 βˆ’9 3.34 Γ— 10 βˆ’9
  • β“” 7.15 Γ— 10 βˆ’8 7.15 Γ— 10 βˆ’8
  • ⓐ 703 , 000 703 , 000
  • β“‘ βˆ’816 , 000 , 000 , 000 βˆ’816 , 000 , 000 , 000
  • β“’ βˆ’0.000 000 000 000 39 βˆ’0.000 000 000 000 39
  • β““ 0.000008 0.000008
  • ⓐ βˆ’ 8.475 Γ— 10 6 βˆ’ 8.475 Γ— 10 6
  • β“‘ 8 Γ— 10 βˆ’ 8 8 Γ— 10 βˆ’ 8
  • β“’ 2.976 Γ— 10 13 2.976 Γ— 10 13
  • β““ βˆ’ 4.3 Γ— 10 6 βˆ’ 4.3 Γ— 10 6
  • β“” β‰ˆ 1.24 Γ— 10 15 β‰ˆ 1.24 Γ— 10 15

Number of cells: 3 Γ— 10 13 ; 3 Γ— 10 13 ; length of a cell: 8 Γ— 10 βˆ’6 8 Γ— 10 βˆ’6 m; total length: 2.4 Γ— 10 8 2.4 Γ— 10 8 m or 240 , 000 , 000 240 , 000 , 000 m.

1.3 Radicals and Rational Exponents

5 | x | | y | 2 y z . 5 | x | | y | 2 y z . Notice the absolute value signs around x and y ? That’s because their value must be positive!

10 | x | 10 | x |

x 2 3 y 2 . x 2 3 y 2 . We do not need the absolute value signs for y 2 y 2 because that term will always be nonnegative.

b 4 3 a b b 4 3 a b

14 βˆ’7 3 14 βˆ’7 3

  • β“’ 88 9 3 88 9 3

( 9 ) 5 = 3 5 = 243 ( 9 ) 5 = 3 5 = 243

x ( 5 y ) 9 2 x ( 5 y ) 9 2

28 x 23 15 28 x 23 15

1.4 Polynomials

The degree is 6, the leading term is βˆ’ x 6 , βˆ’ x 6 , and the leading coefficient is βˆ’1. βˆ’1.

2 x 3 + 7 x 2 βˆ’4 x βˆ’3 2 x 3 + 7 x 2 βˆ’4 x βˆ’3

βˆ’11 x 3 βˆ’ x 2 + 7 x βˆ’9 βˆ’11 x 3 βˆ’ x 2 + 7 x βˆ’9

3 x 4 βˆ’10 x 3 βˆ’8 x 2 + 21 x + 14 3 x 4 βˆ’10 x 3 βˆ’8 x 2 + 21 x + 14

3 x 2 + 16 x βˆ’35 3 x 2 + 16 x βˆ’35

16 x 2 βˆ’8 x + 1 16 x 2 βˆ’8 x + 1

4 x 2 βˆ’49 4 x 2 βˆ’49

6 x 2 + 21 x y βˆ’29 x βˆ’7 y + 9 6 x 2 + 21 x y βˆ’29 x βˆ’7 y + 9

1.5 Factoring Polynomials

( b 2 βˆ’ a ) ( x + 6 ) ( b 2 βˆ’ a ) ( x + 6 )

( x βˆ’6 ) ( x βˆ’1 ) ( x βˆ’6 ) ( x βˆ’1 )

  • ⓐ ( 2 x + 3 ) ( x + 3 ) ( 2 x + 3 ) ( x + 3 )
  • β“‘ ( 3 x βˆ’1 ) ( 2 x + 1 ) ( 3 x βˆ’1 ) ( 2 x + 1 )

( 7 x βˆ’1 ) 2 ( 7 x βˆ’1 ) 2

( 9 y + 10 ) ( 9 y βˆ’ 10 ) ( 9 y + 10 ) ( 9 y βˆ’ 10 )

( 6 a + b ) ( 36 a 2 βˆ’6 a b + b 2 ) ( 6 a + b ) ( 36 a 2 βˆ’6 a b + b 2 )

( 10 x βˆ’ 1 ) ( 100 x 2 + 10 x + 1 ) ( 10 x βˆ’ 1 ) ( 100 x 2 + 10 x + 1 )

( 5 a βˆ’1 ) βˆ’ 1 4 ( 17 a βˆ’2 ) ( 5 a βˆ’1 ) βˆ’ 1 4 ( 17 a βˆ’2 )

1.6 Rational Expressions

1 x + 6 1 x + 6

( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 ) ( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 )

2 ( x βˆ’7 ) ( x + 5 ) ( x βˆ’3 ) 2 ( x βˆ’7 ) ( x + 5 ) ( x βˆ’3 )

x 2 βˆ’ y 2 x y 2 x 2 βˆ’ y 2 x y 2

1.1 Section Exercises

irrational number. The square root of two does not terminate, and it does not repeat a pattern. It cannot be written as a quotient of two integers, so it is irrational.

The Associative Properties state that the sum or product of multiple numbers can be grouped differently without affecting the result. This is because the same operation is performed (either addition or subtraction), so the terms can be re-ordered.

βˆ’14 y βˆ’ 11 βˆ’14 y βˆ’ 11

βˆ’4 b + 1 βˆ’4 b + 1

43 z βˆ’ 3 43 z βˆ’ 3

9 y + 45 9 y + 45

βˆ’6 b + 6 βˆ’6 b + 6

16 x 3 16 x 3

1 2 ( 40 βˆ’ 10 ) + 5 1 2 ( 40 βˆ’ 10 ) + 5

irrational number

g + 400 βˆ’ 2 ( 600 ) = 1200 g + 400 βˆ’ 2 ( 600 ) = 1200

inverse property of addition

1.2 Section Exercises

No, the two expressions are not the same. An exponent tells how many times you multiply the base. So 2 3 2 3 is the same as 2 Γ— 2 Γ— 2 , 2 Γ— 2 Γ— 2 , which is 8. 3 2 3 2 is the same as 3 Γ— 3 , 3 Γ— 3 , which is 9.

It is a method of writing very small and very large numbers.

12 40 12 40

1 7 9 1 7 9

3.14 Γ— 10 βˆ’ 5 3.14 Γ— 10 βˆ’ 5

16,000,000,000

b 6 c 8 b 6 c 8

a b 2 d 3 a b 2 d 3

q 5 p 6 q 5 p 6

y 21 x 14 y 21 x 14

72 a 2 72 a 2

c 3 b 9 c 3 b 9

y 81 z 6 y 81 z 6

1.0995 Γ— 10 12 1.0995 Γ— 10 12

0.00000000003397 in.

12,230,590,464 m 66 m 66

a 14 1296 a 14 1296

n a 9 c n a 9 c

1 a 6 b 6 c 6 1 a 6 b 6 c 6

0.000000000000000000000000000000000662606957

1.3 Section Exercises

When there is no index, it is assumed to be 2 or the square root. The expression would only be equal to the radicand if the index were 1.

The principal square root is the nonnegative root of the number.

9 5 5 9 5 5

6 10 19 6 10 19

βˆ’ 1 + 17 2 βˆ’ 1 + 17 2

7 2 3 7 2 3

20 x 2 20 x 2

17 m 2 m 17 m 2 m

2 b a 2 b a

15 x 7 15 x 7

5 y 4 2 5 y 4 2

4 7 d 7 d 4 7 d 7 d

2 2 + 2 6 x 1 βˆ’3 x 2 2 + 2 6 x 1 βˆ’3 x

βˆ’ w 2 w βˆ’ w 2 w

3 x βˆ’ 3 x 2 3 x βˆ’ 3 x 2

5 n 5 5 5 n 5 5

9 m 19 m 9 m 19 m

2 3 d 2 3 d

3 2 x 2 4 2 3 2 x 2 4 2

6 z 2 3 6 z 2 3

βˆ’5 2 βˆ’6 7 βˆ’5 2 βˆ’6 7

m n c a 9 c m n m n c a 9 c m n

2 2 x + 2 4 2 2 x + 2 4

1.4 Section Exercises

The statement is true. In standard form, the polynomial with the highest value exponent is placed first and is the leading term. The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.

Use the distributive property, multiply, combine like terms, and simplify.

4 x 2 + 3 x + 19 4 x 2 + 3 x + 19

3 w 2 + 30 w + 21 3 w 2 + 30 w + 21

11 b 4 βˆ’9 b 3 + 12 b 2 βˆ’7 b + 8 11 b 4 βˆ’9 b 3 + 12 b 2 βˆ’7 b + 8

24 x 2 βˆ’4 x βˆ’8 24 x 2 βˆ’4 x βˆ’8

24 b 4 βˆ’48 b 2 + 24 24 b 4 βˆ’48 b 2 + 24

99 v 2 βˆ’202 v + 99 99 v 2 βˆ’202 v + 99

8 n 3 βˆ’4 n 2 + 72 n βˆ’36 8 n 3 βˆ’4 n 2 + 72 n βˆ’36

9 y 2 βˆ’42 y + 49 9 y 2 βˆ’42 y + 49

16 p 2 + 72 p + 81 16 p 2 + 72 p + 81

9 y 2 βˆ’36 y + 36 9 y 2 βˆ’36 y + 36

16 c 2 βˆ’1 16 c 2 βˆ’1

225 n 2 βˆ’36 225 n 2 βˆ’36

βˆ’16 m 2 + 16 βˆ’16 m 2 + 16

121 q 2 βˆ’100 121 q 2 βˆ’100

16 t 4 + 4 t 3 βˆ’32 t 2 βˆ’ t + 7 16 t 4 + 4 t 3 βˆ’32 t 2 βˆ’ t + 7

y 3 βˆ’6 y 2 βˆ’ y + 18 y 3 βˆ’6 y 2 βˆ’ y + 18

3 p 3 βˆ’ p 2 βˆ’12 p + 10 3 p 3 βˆ’ p 2 βˆ’12 p + 10

a 2 βˆ’ b 2 a 2 βˆ’ b 2

16 t 2 βˆ’40 t u + 25 u 2 16 t 2 βˆ’40 t u + 25 u 2

4 t 2 + x 2 + 4 t βˆ’5 t x βˆ’ x 4 t 2 + x 2 + 4 t βˆ’5 t x βˆ’ x

24 r 2 + 22 r d βˆ’7 d 2 24 r 2 + 22 r d βˆ’7 d 2

32 x 2 βˆ’4 x βˆ’3 32 x 2 βˆ’4 x βˆ’3 m 2

32 t 3 βˆ’ 100 t 2 + 40 t + 38 32 t 3 βˆ’ 100 t 2 + 40 t + 38

a 4 + 4 a 3 c βˆ’16 a c 3 βˆ’16 c 4 a 4 + 4 a 3 c βˆ’16 a c 3 βˆ’16 c 4

1.5 Section Exercises

The terms of a polynomial do not have to have a common factor for the entire polynomial to be factorable. For example, 4 x 2 4 x 2 and βˆ’9 y 2 βˆ’9 y 2 don’t have a common factor, but the whole polynomial is still factorable: 4 x 2 βˆ’9 y 2 = ( 2 x + 3 y ) ( 2 x βˆ’3 y ) . 4 x 2 βˆ’9 y 2 = ( 2 x + 3 y ) ( 2 x βˆ’3 y ) .

Divide the x x term into the sum of two terms, factor each portion of the expression separately, and then factor out the GCF of the entire expression.

10 m 3 10 m 3

( 2 a βˆ’3 ) ( a + 6 ) ( 2 a βˆ’3 ) ( a + 6 )

( 3 n βˆ’11 ) ( 2 n + 1 ) ( 3 n βˆ’11 ) ( 2 n + 1 )

( p + 1 ) ( 2 p βˆ’7 ) ( p + 1 ) ( 2 p βˆ’7 )

( 5 h + 3 ) ( 2 h βˆ’3 ) ( 5 h + 3 ) ( 2 h βˆ’3 )

( 9 d βˆ’1 ) ( d βˆ’8 ) ( 9 d βˆ’1 ) ( d βˆ’8 )

( 12 t + 13 ) ( t βˆ’1 ) ( 12 t + 13 ) ( t βˆ’1 )

( 4 x + 10 ) ( 4 x βˆ’ 10 ) ( 4 x + 10 ) ( 4 x βˆ’ 10 )

( 11 p + 13 ) ( 11 p βˆ’ 13 ) ( 11 p + 13 ) ( 11 p βˆ’ 13 )

( 19 d + 9 ) ( 19 d βˆ’ 9 ) ( 19 d + 9 ) ( 19 d βˆ’ 9 )

( 12 b + 5 c ) ( 12 b βˆ’ 5 c ) ( 12 b + 5 c ) ( 12 b βˆ’ 5 c )

( 7 n + 12 ) 2 ( 7 n + 12 ) 2

( 15 y + 4 ) 2 ( 15 y + 4 ) 2

( 5 p βˆ’ 12 ) 2 ( 5 p βˆ’ 12 ) 2

( x + 6 ) ( x 2 βˆ’ 6 x + 36 ) ( x + 6 ) ( x 2 βˆ’ 6 x + 36 )

( 5 a + 7 ) ( 25 a 2 βˆ’ 35 a + 49 ) ( 5 a + 7 ) ( 25 a 2 βˆ’ 35 a + 49 )

( 4 x βˆ’ 5 ) ( 16 x 2 + 20 x + 25 ) ( 4 x βˆ’ 5 ) ( 16 x 2 + 20 x + 25 )

( 5 r + 12 s ) ( 25 r 2 βˆ’ 60 r s + 144 s 2 ) ( 5 r + 12 s ) ( 25 r 2 βˆ’ 60 r s + 144 s 2 )

( 2 c + 3 ) βˆ’ 1 4 ( βˆ’7 c βˆ’ 15 ) ( 2 c + 3 ) βˆ’ 1 4 ( βˆ’7 c βˆ’ 15 )

( x + 2 ) βˆ’ 2 5 ( 19 x + 10 ) ( x + 2 ) βˆ’ 2 5 ( 19 x + 10 )

( 2 z βˆ’ 9 ) βˆ’ 3 2 ( 27 z βˆ’ 99 ) ( 2 z βˆ’ 9 ) βˆ’ 3 2 ( 27 z βˆ’ 99 )

( 14 x βˆ’3 ) ( 7 x + 9 ) ( 14 x βˆ’3 ) ( 7 x + 9 )

( 3 x + 5 ) ( 3 x βˆ’5 ) ( 3 x + 5 ) ( 3 x βˆ’5 )

( 2 x + 5 ) 2 ( 2 x βˆ’ 5 ) 2 ( 2 x + 5 ) 2 ( 2 x βˆ’ 5 ) 2

( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z βˆ’ 7 a ) ( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z βˆ’ 7 a )

1 ( 4 x + 9 ) ( 4 x βˆ’9 ) ( 2 x + 3 ) 1 ( 4 x + 9 ) ( 4 x βˆ’9 ) ( 2 x + 3 )

1.6 Section Exercises

You can factor the numerator and denominator to see if any of the terms can cancel one another out.

True. Multiplication and division do not require finding the LCD because the denominators can be combined through those operations, whereas addition and subtraction require like terms.

y + 5 y + 6 y + 5 y + 6

3 b + 3 3 b + 3

x + 4 2 x + 2 x + 4 2 x + 2

a + 3 a βˆ’ 3 a + 3 a βˆ’ 3

3 n βˆ’ 8 7 n βˆ’ 3 3 n βˆ’ 8 7 n βˆ’ 3

c βˆ’ 6 c + 6 c βˆ’ 6 c + 6

d 2 βˆ’ 25 25 d 2 βˆ’ 1 d 2 βˆ’ 25 25 d 2 βˆ’ 1

t + 5 t + 3 t + 5 t + 3

6 x βˆ’ 5 6 x + 5 6 x βˆ’ 5 6 x + 5

p + 6 4 p + 3 p + 6 4 p + 3

2 d + 9 d + 11 2 d + 9 d + 11

12 b + 5 3 b βˆ’1 12 b + 5 3 b βˆ’1

4 y βˆ’1 y + 4 4 y βˆ’1 y + 4

10 x + 4 y x y 10 x + 4 y x y

9 a βˆ’ 7 a 2 βˆ’ 2 a βˆ’ 3 9 a βˆ’ 7 a 2 βˆ’ 2 a βˆ’ 3

2 y 2 βˆ’ y + 9 y 2 βˆ’ y βˆ’ 2 2 y 2 βˆ’ y + 9 y 2 βˆ’ y βˆ’ 2

5 z 2 + z + 5 z 2 βˆ’ z βˆ’ 2 5 z 2 + z + 5 z 2 βˆ’ z βˆ’ 2

x + 2 x y + y x + x y + y + 1 x + 2 x y + y x + x y + y + 1

2 b + 7 a a b 2 2 b + 7 a a b 2

18 + a b 4 b 18 + a b 4 b

a βˆ’ b a βˆ’ b

3 c 2 + 3 c βˆ’ 2 2 c 2 + 5 c + 2 3 c 2 + 3 c βˆ’ 2 2 c 2 + 5 c + 2

15 x + 7 x βˆ’1 15 x + 7 x βˆ’1

x + 9 x βˆ’9 x + 9 x βˆ’9

1 y + 2 1 y + 2

Review Exercises

y = 24 y = 24

3 a 6 3 a 6

x 3 32 y 3 x 3 32 y 3

1.634 Γ— 10 7 1.634 Γ— 10 7

4 2 5 4 2 5

7 2 50 7 2 50

3 x 3 + 4 x 2 + 6 3 x 3 + 4 x 2 + 6

5 x 2 βˆ’ x + 3 5 x 2 βˆ’ x + 3

k 2 βˆ’ 3 k βˆ’ 18 k 2 βˆ’ 3 k βˆ’ 18

x 3 + x 2 + x + 1 x 3 + x 2 + x + 1

3 a 2 + 5 a b βˆ’ 2 b 2 3 a 2 + 5 a b βˆ’ 2 b 2

4 a 2 4 a 2

( 4 a βˆ’ 3 ) ( 2 a + 9 ) ( 4 a βˆ’ 3 ) ( 2 a + 9 )

( x + 5 ) 2 ( x + 5 ) 2

( 2 h βˆ’ 3 k ) 2 ( 2 h βˆ’ 3 k ) 2

( p + 6 ) ( p 2 βˆ’ 6 p + 36 ) ( p + 6 ) ( p 2 βˆ’ 6 p + 36 )

( 4 q βˆ’ 3 p ) ( 16 q 2 + 12 p q + 9 p 2 ) ( 4 q βˆ’ 3 p ) ( 16 q 2 + 12 p q + 9 p 2 )

( p + 3 ) 1 3 ( βˆ’5 p βˆ’ 24 ) ( p + 3 ) 1 3 ( βˆ’5 p βˆ’ 24 )

x + 3 x βˆ’ 4 x + 3 x βˆ’ 4

m + 2 m βˆ’ 3 m + 2 m βˆ’ 3

6 x + 10 y x y 6 x + 10 y x y

Practice Test

x = –2 x = –2

3 x 4 3 x 4

13 q 3 βˆ’ 4 q 2 βˆ’ 5 q 13 q 3 βˆ’ 4 q 2 βˆ’ 5 q

n 3 βˆ’ 6 n 2 + 12 n βˆ’ 8 n 3 βˆ’ 6 n 2 + 12 n βˆ’ 8

( 4 x + 9 ) ( 4 x βˆ’ 9 ) ( 4 x + 9 ) ( 4 x βˆ’ 9 )

( 3 c βˆ’ 11 ) ( 9 c 2 + 33 c + 121 ) ( 3 c βˆ’ 11 ) ( 9 c 2 + 33 c + 121 )

4 z βˆ’ 3 2 z βˆ’ 1 4 z βˆ’ 3 2 z βˆ’ 1

3 a + 2 b 3 b 3 a + 2 b 3 b

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College Algebra (11th Edition)

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MATH 1111 - College Algebra: 1.1 Sets and Set Operations

1.1 sets and set operations.

  • 1.2 Linear Equations and Inequalities
  • 1.3 Systems of Linear Equations
  • 1.4 Polynomials; Operations with Polynomials
  • 1.5 Factoring Polynomials
  • 1.6 Quadratic Equations
  • 1.7 Rational Expressions and Equations
  • 1.8 Complex Numbers
  • 2.1 Cartesian Coordinates/Relations
  • 2.2 Intro to Functions
  • 2.3 Operations with Functions
  • 2.4 Graph of Functions
  • 3.1 Linear Functions
  • 3.2 Quadratic Functions and Quadratic Inequalities
  • 4.1 Finding Zeros of Polynomial Functions
  • 4.2 Graphing Polynomial Functions
  • 4.3 Rational Functions
  • 4.4 Rational Inequalities
  • 5.1 Composition of Functions
  • 5.2 Inverse Functions
  • 5.3 Introduction to Exponential and Logarithmic Functions

At the end of this section students will be able to:

  • Describe sets using either the verbal method or the roster method or the set-builder method
  • Perform operations with sets
  • Identify and classify the subsets of real numbers
  • Express sets using interval notation

Required Reading

0.1 Basic Set Theory and Interval Notation

Stitz-Zeager Prerequisites  - pages  3-12

Practice Exercises

Stitz-Zeager Prerequisites - pages 13-14

Answers to practice exercises can be found on pages 15-17.

Supplemental Resources

Sets of Numbers (tutorial):  West Texas A&M University Virtual Math Lab (Intermediate Algebra Tutorial 3)

Identifying Sets of Real Numbers:

Operations with Sets:

Interval and Set Notation:

  • << Previous: Module 1
  • Next: 1.2 Linear Equations and Inequalities >>
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This week we will continue with Chapter 3.

We will have another take home quiz due Friday, May 3rd.

  • Will be posted Wednesday, May 1st.
  • Due: Friday, April 19th (in class or via email by 11:59 pm)
  • Extra Credit: Exam 3
  • Due: Β  Monday, May 6th
  • “Graphs – Slope of a Line”
  • “Graphs – Equation of a Line”
  • “Graphs – Graphing Quadratic Equations”
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  • “Graphs – Systems of Equations”
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MAT1275CO- College Algebra and Trigonometry

Section:Β  D103

Class Times: Mondays, Wednesdays, Fridays 8:00am -9:40am

This is a guided hands-on problem-solving College Algebra and Trigonometry course. Topics that will be covered include quadratic equations, the distance and midpoint formula, graphing parabolas and circles, systems of linear and quadratic equations, an introduction to exponential and logarithmic functions. Topics that will be covered from trigonometry include basic trigonometric functions, identities, equations and solutions of triangles.

Instructor: Dr. Kayla Davie

Email : [email protected]

Office Hours: Monday 10:00-11:00 am (In-Person), Wednesday 3:00-4:00 pm (Zoom)

Logged-in faculty members can clone this course. Learn More!

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