ⓐ yes β“‘ yes β“’ no β““ yes β“” no

ⓐ no β“‘ yes β“’ yes β““ no β“” no

2 Β· 2 Β· 2 Β· 2 Β· 5 2 Β· 2 Β· 2 Β· 2 Β· 5

2 Β· 2 Β· 3 Β· 5 2 Β· 2 Β· 3 Β· 5

ⓐ 9 β“‘ 64 β“’ 40

ⓐ 216 β“‘ 64 β“’ 185

10 x 2 + 16 x + 17 10 x 2 + 16 x + 17

12 y 2 + 9 y + 7 12 y 2 + 9 y + 7

ⓐ 14 x 2 βˆ’ 13 14 x 2 βˆ’ 13 β“‘ 12 x Γ· 2 12 x Γ· 2 β“’ z + 13 z + 13 β““ 8 x βˆ’ 18 8 x βˆ’ 18

ⓐ 17 y 2 + 19 17 y 2 + 19 β“‘ 7 y 7 y β“’ x + 11 x + 11 β““ 11 a βˆ’ 14 11 a βˆ’ 14

ⓐ 4 ( p + q ) 4 ( p + q ) β“‘ 4 p + q 4 p + q

ⓐ 2 x βˆ’ 8 2 x βˆ’ 8 β“‘ 2 ( x βˆ’ 8 ) 2 ( x βˆ’ 8 )

w βˆ’ 7 w βˆ’ 7

l βˆ’ 6 l βˆ’ 6

4 q βˆ’ 8 4 q βˆ’ 8

7 n + 3 7 n + 3

ⓐ = = β“‘ > > β“’ < < β““ = =

ⓐ > > β“‘ = = β“’ > > β““ < <

ⓐ βˆ’6 βˆ’6 β“‘ 2 β“’ βˆ’2 βˆ’2

ⓐ βˆ’7 βˆ’7 β“‘ 3 β“’ βˆ’3 βˆ’3

ⓐ 2 β“‘ βˆ’2 βˆ’2 β“’ βˆ’10 βˆ’10 β““ 10

ⓐ 3 β“‘ βˆ’3 βˆ’3 β“’ βˆ’11 βˆ’11 β““ 11

ⓐ 8 , 8 8 , 8 β“‘ βˆ’18 , βˆ’18 , βˆ’18 βˆ’18 β“’ 19 , 19 19 , 19 β““ βˆ’4 , βˆ’4 , βˆ’4 βˆ’4

ⓐ 8 , 8 8 , 8 β“‘ βˆ’22 , βˆ’22 , βˆ’22 βˆ’22 β“’ 23 , 23 23 , 23 β““ 3 , 3 3 , 3

ⓐ 23 β“‘ 60 β“’ βˆ’63 βˆ’63 β““ βˆ’9 βˆ’9

ⓐ 39 β“‘ 39 β“’ βˆ’28 β““ βˆ’7

ⓐ 81 β“‘ βˆ’81 βˆ’81

ⓐ 49 β“‘ βˆ’49 βˆ’49

( 9 + ( βˆ’16 ) ) + 4 ; βˆ’ 3 ( 9 + ( βˆ’16 ) ) + 4 ; βˆ’ 3

( βˆ’8 + ( βˆ’12 ) ) + 7 ; βˆ’ 13 ( βˆ’8 + ( βˆ’12 ) ) + 7 ; βˆ’ 13

The difference in temperatures was 45 degrees.

The difference in temperatures was 9 degrees.

βˆ’ 23 40 βˆ’ 23 40

βˆ’ 5 8 βˆ’ 5 8

βˆ’33 a βˆ’33 a

βˆ’26 b βˆ’26 b

3 4 b 3 4 b

79 60 79 60

103 60 103 60

ⓐ 27 a βˆ’ 32 36 27 a βˆ’ 32 36 β“‘ 2 a 3 2 a 3

ⓐ 24 k βˆ’ 5 30 24 k βˆ’ 5 30 β“‘ 2 k 15 2 k 15

βˆ’ 1 2 βˆ’ 1 2

ⓐ 6.58 6.58 β“‘ 6.6 6.6 β“’ 7

ⓐ 15.218 15.218 β“‘ 15.22 15.22 β“’ 15.2 15.2

ⓐ βˆ’16.49 βˆ’16.49 β“‘ βˆ’0.42 βˆ’0.42

ⓐ βˆ’23.593 βˆ’23.593 β“‘ βˆ’12.58 βˆ’12.58

βˆ’27.4815 βˆ’27.4815

βˆ’87.6148 βˆ’87.6148

ⓐ 25.8 β“‘ 258 β“’ 2,580

ⓐ 142 β“‘ 1,420 β“’ 14,200

587.3 587.3

34.25 34.25

ⓐ 117 500 117 500 β“‘ βˆ’0.875 βˆ’0.875

ⓐ 3 125 3 125 β“‘ βˆ’0.375 βˆ’0.375

ⓐ 0.09, 0.87, 0.039 β“‘ 17%, 175%, 8.25%

ⓐ 0.03, 0.91, 0.083 β“‘ 41%, 225%, 9.25%

ⓐ 6 β“‘ 13 β“’ βˆ’15 βˆ’15

ⓐ 4 β“‘ 14 β“’ βˆ’10 βˆ’10

ⓐ 4 , 49 4 , 49 β“‘ βˆ’3 , 4 , 49 βˆ’3 , 4 , 49 β“’ βˆ’3 , 0. 3 – , 9 5 , 4 , 49 βˆ’3 , 0. 3 – , 9 5 , 4 , 49 β““ βˆ’ 2 βˆ’ 2 β“” βˆ’3 , βˆ’ 2 , 0. 3 – , 9 5 , 4 , 49 βˆ’3 , βˆ’ 2 , 0. 3 – , 9 5 , 4 , 49

ⓐ 6 , 121 6 , 121 β“‘ βˆ’ 25 , βˆ’1 , 6 , 121 βˆ’ 25 , βˆ’1 , 6 , 121 β“’ βˆ’ 25 , βˆ’ 3 8 , βˆ’1 , 6 , 121 βˆ’ 25 , βˆ’ 3 8 , βˆ’1 , 6 , 121 β““ 2.041975.. . 2.041975.. . β“” βˆ’ 25 , βˆ’ 3 8 , βˆ’1 , 6 , 121 , 2.041975.. . βˆ’ 25 , βˆ’ 3 8 , βˆ’1 , 6 , 121 , 2.041975.. .

32 r + 29 s 32 r + 29 s

41 m + 6 n 41 m + 6 n

1 7 15 1 7 15

1 2 9 1 2 9

βˆ’48 a βˆ’48 a

βˆ’92 x βˆ’92 x

11 25 11 25

ⓐ 0 β“‘ undefined

4 x + 8 4 x + 8

6 x + 42 6 x + 42

5 y + 3 5 y + 3

4 n + 9 4 n + 9

70 + 15 p 70 + 15 p

4 + 35 d 4 + 35 d

βˆ’10 + 15 a βˆ’10 + 15 a

βˆ’56 + 105 y βˆ’56 + 105 y

βˆ’ z + 11 βˆ’ z + 11

βˆ’ x + 4 βˆ’ x + 4

3 βˆ’ 3 x 3 βˆ’ 3 x

2 x βˆ’ 20 2 x βˆ’ 20

5 x βˆ’ 66 5 x βˆ’ 66

7 x βˆ’ 13 7 x βˆ’ 13

Section 1.1 Exercises

Divisible by 2, 3, 6

Divisible by 2

Divisible by 3, 5

2 Β· 43 2 Β· 43

5 Β· 7 Β· 13 5 Β· 7 Β· 13

2 Β· 2 Β· 2 Β· 2 Β· 3 Β· 3 Β· 3 2 Β· 2 Β· 2 Β· 2 Β· 3 Β· 3 Β· 3

ⓐ 64 β“‘ 16 β“’ 7

10 x + 6 10 x + 6

22 a + 1 22 a + 1

17 x 2 + 20 x + 16 17 x 2 + 20 x + 16

ⓐ 5 x 2 βˆ’ 6 x y 5 x 2 βˆ’ 6 x y β“‘ 6 y 2 5 x 6 y 2 5 x β“’ y 2 + 21 y 2 + 21 β““ 81 x 2 βˆ’ 6 x 81 x 2 βˆ’ 6 x

ⓐ 4 a b 2 + 3 a 2 b 4 a b 2 + 3 a 2 b β“‘ 20 x y 2 20 x y 2 β“’ m + 15 m + 15 β““ 121 x 2 βˆ’ 9 x 121 x 2 βˆ’ 9 x

ⓐ 8 ( y βˆ’ 9 ) 8 ( y βˆ’ 9 ) β“‘ 8 y βˆ’ 9 8 y βˆ’ 9

ⓐ 5 ( 3 x + y ) 5 ( 3 x + y ) β“‘ 15 x + y 15 x + y

2 c + 14 2 c + 14

3 n βˆ’ 7 3 n βˆ’ 7

Answers will vary.

Section 1.2 Exercises

ⓐ > > β“‘ > > β“’ > > β““ > >

ⓐ = = β“‘ = = β“’ > > β““ = =

ⓐ βˆ’11 βˆ’11 β“‘ βˆ’3 βˆ’3 β“’ 3 3

ⓐ 6 β“‘ βˆ’6 βˆ’6 β“’ βˆ’20 βˆ’20 β““ 20 20

ⓐ βˆ’32 βˆ’32 β“‘ βˆ’65 βˆ’65 β“’ βˆ’4 βˆ’4 β““ 13 13

ⓐ βˆ’4 βˆ’4 β“‘ βˆ’12 βˆ’12 β“’ βˆ’39 βˆ’39 β““ 14 14

ⓐ 64 64 β“‘ βˆ’64 βˆ’64

ⓐ βˆ’47 βˆ’47 β“‘ 16 16

( 3 + ( βˆ’15 ) ) + 7 ; βˆ’ 5 ( 3 + ( βˆ’15 ) ) + 7 ; βˆ’ 5

ⓐ 10 βˆ’ ( βˆ’18 ) ; 28 10 βˆ’ ( βˆ’18 ) ; 28 β“‘ βˆ’25 βˆ’ 11 ; βˆ’ 36 βˆ’25 βˆ’ 11 ; βˆ’ 36

βˆ’6 a + b βˆ’6 a + b

βˆ’ $ 28 βˆ’ $ 28

Section 1.3 Exercises

βˆ’ 12 7 βˆ’ 12 7

10 21 10 21

2 x 2 3 y 2 x 2 3 y

βˆ’ 21 a 2 11 b 2 βˆ’ 21 a 2 11 b 2

βˆ’ 21 50 βˆ’ 21 50

11 30 11 30

33 4 x 33 4 x

βˆ’ 4 9 βˆ’ 4 9

10 u 9 v 10 u 9 v

βˆ’ 1 16 βˆ’ 1 16

βˆ’ 10 9 βˆ’ 10 9

βˆ’ 2 5 βˆ’ 2 5

2 m 3 n 2 m 3 n

29 24 29 24

17 105 17 105

βˆ’ 53 40 βˆ’ 53 40

4 x + 3 12 4 x + 3 12

ⓐ 5 6 5 6 β“‘ 4 4

ⓐ 25 n 16 25 n 16 β“‘ 25 n βˆ’ 16 30 25 n βˆ’ 16 30

ⓐ βˆ’8 x βˆ’ 15 18 βˆ’8 x βˆ’ 15 18 β“‘ βˆ’ 10 k 27 βˆ’ 10 k 27

ⓐ βˆ’5 ( a + 1 ) 3 βˆ’5 ( a + 1 ) 3 β“‘ a a

49 25 49 25

βˆ’28 βˆ’ 15 y 60 βˆ’28 βˆ’ 15 y 60

33 64 33 64

23 24 23 24

ⓐ 1 5 1 5 β“‘ 6 5 6 5

βˆ’ 1 9 βˆ’ 1 9

βˆ’ 5 11 βˆ’ 5 11

Section 1.4 Exercises

ⓐ 5.78 β“‘ 5.8 β“’ 6

ⓐ 0.30 β“‘ 0.3 β“’ 0

ⓐ 63.48 β“‘ 63.5 β“’ 63

βˆ’40.91 βˆ’40.91

βˆ’7.22 βˆ’7.22

βˆ’27.5 βˆ’27.5

102.212 102.212

51.31 51.31

βˆ’4.89 βˆ’4.89

βˆ’1200.47982 βˆ’1200.47982

337.8914 337.8914

1.305 1.305

$ 2.44 $ 2.44

19 200 19 200

βˆ’12.4 βˆ’12.4

0.393 0.393

156 % 156 %

6.25 % 6.25 %

ⓐ 0 , 36 , 9 0 , 36 , 9 β“‘ βˆ’8 , 0 , 36 , 9 βˆ’8 , 0 , 36 , 9 β“’ βˆ’8 , 0 , 12 5 , 36 , 9 βˆ’8 , 0 , 12 5 , 36 , 9 β““ 1.95286... , 1.95286... , β“” βˆ’8 , 0 , 1.95286... , 12 5 , 36 , 9 βˆ’8 , 0 , 1.95286... , 12 5 , 36 , 9

ⓐ none β“‘ βˆ’ 100 , βˆ’7 , βˆ’1 βˆ’ 100 , βˆ’7 , βˆ’1 β“’ βˆ’ 100 , βˆ’7 , βˆ’ 8 3 , βˆ’1 , 0.77 , 3 1 4 βˆ’ 100 , βˆ’7 , βˆ’ 8 3 , βˆ’1 , 0.77 , 3 1 4 β““ none β“” βˆ’ 100 , βˆ’7 , βˆ’ 8 3 , βˆ’1 , 0.77 , 3 1 4 βˆ’ 100 , βˆ’7 , βˆ’ 8 3 , βˆ’1 , 0.77 , 3 1 4

Section 1.5 Exercises

27 m + ( βˆ’21 n ) 27 m + ( βˆ’21 n )

5 4 g + 1 2 h 5 4 g + 1 2 h

2.43 p + 8.26 q 2.43 p + 8.26 q

1 5 6 1 5 6

14.88 14.88

49 11 49 11

32 y + 72 32 y + 72

6 c βˆ’ 78 6 c βˆ’ 78

3 4 q + 3 3 4 q + 3

5 y βˆ’ 3 5 y βˆ’ 3

3 + 8 r 3 + 8 r

36 d + 90 36 d + 90

r s βˆ’ 18 r r s βˆ’ 18 r

y p + 4 p y p + 4 p

βˆ’28 p βˆ’ 7 βˆ’28 p βˆ’ 7

βˆ’3 x + 18 βˆ’3 x + 18

βˆ’3 x + 7 βˆ’3 x + 7

βˆ’3 y βˆ’ 8 βˆ’3 y βˆ’ 8

βˆ’33 c + 26 βˆ’33 c + 26

βˆ’ a + 19 βˆ’ a + 19

4 m βˆ’ 10 4 m βˆ’ 10

72 x βˆ’ 25 72 x βˆ’ 25

22 n + 9 22 n + 9

6 c + 34 6 c + 34

12 y + 63 12 y + 63

Review Exercises

Divisible by 2 , 3 , 5 , 6 , 10 2 , 3 , 5 , 6 , 10

6 x 2 βˆ’ x + 5 6 x 2 βˆ’ x + 5

ⓐ 11 ( y βˆ’ 2 ) 11 ( y βˆ’ 2 ) β“‘ 11 y βˆ’ 2 11 y βˆ’ 2

ⓐ 8 β“‘ βˆ’8 βˆ’8 β“’ βˆ’22 βˆ’22 β““ 22

ⓐ βˆ’3 βˆ’3 β“‘ βˆ’15 βˆ’15 β“’ βˆ’56 βˆ’56 β““ 17

( βˆ’4 + ( βˆ’9 ) ) + 23 ; 10 ( βˆ’4 + ( βˆ’9 ) ) + 23 ; 10

βˆ’ 15 x 3 11 y 2 βˆ’ 15 x 3 11 y 2

8 x 15 y 8 x 15 y

31 36 31 36

ⓐ 11 8 11 8 β“‘ 5 6 5 6

βˆ’ 1 6 βˆ’ 1 6

βˆ’ 1 5 βˆ’ 1 5

96.978 96.978

βˆ’ 48 5 βˆ’ 48 5

1. 27 Β― 1. 27 Β―

4.75 % 4.75 %

no real number

3 4 x + y 3 4 x + y

1 11 15 1 11 15

8 b + 10 8 b + 10

x p βˆ’ 5 p x p βˆ’ 5 p

βˆ’6 x βˆ’ 6 βˆ’6 x βˆ’ 6

6 y + 16 6 y + 16

Practice Test

7 n + 7 7 n + 7

βˆ’8 βˆ’ 11 ; βˆ’ 19 βˆ’8 βˆ’ 11 ; βˆ’ 19

( βˆ’8 βˆ’ ( βˆ’3 ) ) + 5 ; 0 ( βˆ’8 βˆ’ ( βˆ’3 ) ) + 5 ; 0

ⓐ 28.15 28.15 β“‘ 28.146 28.146

15 17 15 17

βˆ’ 5 3 βˆ’ 5 3

βˆ’ 7 6 βˆ’ 7 6

βˆ’65.4 βˆ’65.4

1 8 13 1 8 13

13 y βˆ’ 3 13 y βˆ’ 3

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  • Authors: Lynn Marecek, Andrea Honeycutt Mathis
  • Publisher/website: OpenStax
  • Book title: Intermediate Algebra 2e
  • Publication date: May 6, 2020
  • Location: Houston, Texas
  • Book URL: https://openstax.org/books/intermediate-algebra-2e/pages/1-introduction
  • Section URL: https://openstax.org/books/intermediate-algebra-2e/pages/chapter-1

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  • 3. Multiple Choice Edit 15 minutes 1 pt 8x + 4y= 16 y = -8x + 16 y = 2x -4 y = -2x + 4 y = -8x + 12
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  1. Solving Equations Flashcards

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  2. Writing and Solving Equations 2 Diagram

    solving equations assignment quizlet

  3. Solving Equations (Variables on Both Sides) Flashcards

    solving equations assignment quizlet

  4. Solving Linear systems by elimination Diagram

    solving equations assignment quizlet

  5. Solving Linear Equations Diagram

    solving equations assignment quizlet

  6. Unit 4- Matrices, solving systems of equations with matrices, Gauss

    solving equations assignment quizlet

VIDEO

  1. Writing and Solving Equations

  2. Cauchy–Riemann equations Theorems And Proof with Solved Examples || Maths Assignment

  3. Application on solving equations

  4. Section 4.20

  5. Solving Equations with indices properties

  6. (2.7) Solving Equations (Variables on Both Sides)

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  1. 4. SOLVING EQUATIONS- Unit 2 Flashcards

    4. SOLVING EQUATIONS- Unit 2. 4.8 (26 reviews) Which of the following is not an attribute of a linear equation? Click the card to flip πŸ‘†. The variable must be raised to the second power. Click the card to flip πŸ‘†. 1 / 16.

  2. Solving trigonometric equations assignment Flashcards

    5pi/4. Solve: tan (x) - cos^2 (x) = sin^2 (x) [A] pi/4 + kpi. The motion of a weight that hangs from a spring is represented by the equation h = 8sin ( 2pi/3 t). It models the weight's height (in inches) above or below the rest position as a function of time (in seconds). Approximately when will the object be 3 inches above the rest position?

  3. Rational Equations Assignment Flashcards

    3a + 2 βˆ’ 6aa2 βˆ’ 4 = 1a βˆ’ 2. The students is incorrect. There are no solutions to this equation because first, you would find the LCD which is (a2) (a2). Next, you would simplify making 3 (a2)6aa2. Then, you would expand making 3a6a2. The next step is adding 6 to both sides. Soon, you get 4a/4 which equals 8/4.

  4. Solving Linear Equations: Variable on One Side: Assignment

    Apply the next steps to solve the equation. What is the solution? p=1.2. Determine which statements are true. Check all that apply. 1. h (x) has a constant output of -2.50. 3. g (x) is greater than -2.50 for x values less than -1. 6. The input value for which g (x) = h (x) is between -1 and 0.

  5. Solving Linear Equations: Variables on Both Sides Assignment

    Study with Quizlet and memorize flashcards containing terms like Marlena solved the equation 2x + 5 = -10 - x. Her steps are shown below. 2x + 5 = -10 - x 3x + 5 = -10 3x = -15 x = -5 Use the drop-down menus to justify Marlena's work in each step of the process. Step 1: Step 2: Step 3:, What can each term of the equation be multiplied by to eliminate the fractions before solving? x - + 2x ...

  6. Solving Quadratic Equations: Quadratic Formula Assignment

    The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero to find the zeros of the function 0 = -16t2 + 80t + 0. You can factor or use the quadratic formula to get t = 0 and t = 5. Therefore, it is on the ground at t = 0 (time of launch) and then hits the ground at t = 5 ...

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    62x + 5 + x = 4. 6 + x2 + 5x = 4. A. When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be. 2. A / B. The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet.

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    Algebra (all content) 20 units Β· 412 skills. Unit 1 Introduction to algebra. Unit 2 Solving basic equations & inequalities (one variable, linear) Unit 3 Linear equations, functions, & graphs. Unit 4 Sequences. Unit 5 System of equations. Unit 6 Two-variable inequalities. Unit 7 Functions. Unit 8 Absolute value equations, functions, & inequalities.

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    Algebra 1 16 units Β· 184 skills. Unit 1 Algebra foundations. Unit 2 Solving equations & inequalities. Unit 3 Working with units. Unit 4 Linear equations & graphs. Unit 5 Forms of linear equations. Unit 6 Systems of equations. Unit 7 Inequalities (systems & graphs) Unit 8 Functions.

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    16 = 102+3x 16 = 10 2 + 3 x. 6 = e4+9x 6 = e 4 + 9 x. 9 βˆ’e6x = 0 9 βˆ’ e 6 x = 0. ex2βˆ’2 = 4 e x 2 βˆ’ 2 = 4. Here is a set of assignement problems (for use by instructors) to accompany the Solving Exponential Equations section of the Exponential and Logarithm Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University.

  13. Answer Key Chapter 1

    Introduction to Systems of Equations and Inequalities; 7.1 Systems of Linear Equations: Two Variables; 7.2 Systems of Linear Equations: Three Variables; 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 7.4 Partial Fractions; 7.5 Matrices and Matrix Operations; 7.6 Solving Systems with Gaussian Elimination; 7.7 Solving Systems with Inverses; 7.8 Solving Systems with Cramer's Rule

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    Introduction; 4.1 Solve Systems of Linear Equations with Two Variables; 4.2 Solve Applications with Systems of Equations; 4.3 Solve Mixture Applications with Systems of Equations; 4.4 Solve Systems of Equations with Three Variables; 4.5 Solve Systems of Equations Using Matrices; 4.6 Solve Systems of Equations Using Determinants; 4.7 Graphing Systems of Linear Inequalities

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    Chapter 2 : Solving Equations and Inequalities. Here are a set of assignment problems for the Solving Equations and Inequalities chapter of the Algebra notes. Please note that these problems do not have any solutions available. These are intended mostly for instructors who might want a set of problems to assign for turning in.

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    Chapter 7 : Systems of Equations. Here are a set of assignment problems for the Systems of Equations chapter of the Algebra notes. Please note that these problems do not have any solutions available. These are intended mostly for instructors who might want a set of problems to assign for turning in. Having solutions available (or even just ...

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    The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require. The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.

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    Section 2.15 : Absolute Value Inequalities. Solve each of the following inequalities. Here is a set of assignement problems (for use by instructors) to accompany the Absolute Value Inequalities section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.

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    Section 2.2 : Linear Equations. Solve each of the following equations and check your answer. Here is a set of assignement problems (for use by instructors) to accompany the Linear Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.

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    Here is a set of practice problems to accompany the Linear Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University. Paul's Online Notes. Practice Quick Nav Download. Go To; Notes; Practice Problems; Assignment Problems; Show/Hide; Show all Solutions/Steps/etc. Hide all ...