β yes β yes β no β yes β no
β 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
β 9 β 64 β 40
β 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
β 14 x 2 β 13 14 x 2 β 13 β 12 x Γ· 2 12 x Γ· 2 β z + 13 z + 13 β 8 x β 18 8 x β 18
β 17 y 2 + 19 17 y 2 + 19 β 7 y 7 y β x + 11 x + 11 β 11 a β 14 11 a β 14
β 4 ( p + q ) 4 ( p + q ) β 4 p + q 4 p + q
β 2 x β 8 2 x β 8 β 2 ( x β 8 ) 2 ( x β 8 )
w β 7 w β 7
l β 6 l β 6
4 q β 8 4 q β 8
7 n + 3 7 n + 3
β = = β > > β < < β = =
β > > β = = β > > β < <
β β6 β6 β 2 β β2 β2
β β7 β7 β 3 β β3 β3
β 2 β β2 β2 β β10 β10 β 10
β 3 β β3 β3 β β11 β11 β 11
β 8 , 8 8 , 8 β β18 , β18 , β18 β18 β 19 , 19 19 , 19 β β4 , β4 , β4 β4
β 8 , 8 8 , 8 β β22 , β22 , β22 β22 β 23 , 23 23 , 23 β 3 , 3 3 , 3
β 23 β 60 β β63 β63 β β9 β9
β 39 β 39 β β28 β β7
β 81 β β81 β81
β 49 β β49 β49
( 9 + ( β16 ) ) + 4 ; β 3 ( 9 + ( β16 ) ) + 4 ; β 3
( β8 + ( β12 ) ) + 7 ; β 13 ( β8 + ( β12 ) ) + 7 ; β 13
The difference in temperatures was 45 degrees.
The difference in temperatures was 9 degrees.
β 23 40 β 23 40
β 5 8 β 5 8
β33 a β33 a
β26 b β26 b
3 4 b 3 4 b
79 60 79 60
103 60 103 60
β 27 a β 32 36 27 a β 32 36 β 2 a 3 2 a 3
β 24 k β 5 30 24 k β 5 30 β 2 k 15 2 k 15
β 1 2 β 1 2
β 6.58 6.58 β 6.6 6.6 β 7
β 15.218 15.218 β 15.22 15.22 β 15.2 15.2
β β16.49 β16.49 β β0.42 β0.42
β β23.593 β23.593 β β12.58 β12.58
β27.4815 β27.4815
β87.6148 β87.6148
β 25.8 β 258 β 2,580
β 142 β 1,420 β 14,200
587.3 587.3
34.25 34.25
β 117 500 117 500 β β0.875 β0.875
β 3 125 3 125 β β0.375 β0.375
β 0.09, 0.87, 0.039 β 17%, 175%, 8.25%
β 0.03, 0.91, 0.083 β 41%, 225%, 9.25%
β 6 β 13 β β15 β15
β 4 β 14 β β10 β10
β 4 , 49 4 , 49 β β3 , 4 , 49 β3 , 4 , 49 β β3 , 0. 3 β , 9 5 , 4 , 49 β3 , 0. 3 β , 9 5 , 4 , 49 β β 2 β 2 β β3 , β 2 , 0. 3 β , 9 5 , 4 , 49 β3 , β 2 , 0. 3 β , 9 5 , 4 , 49
β 6 , 121 6 , 121 β β 25 , β1 , 6 , 121 β 25 , β1 , 6 , 121 β β 25 , β 3 8 , β1 , 6 , 121 β 25 , β 3 8 , β1 , 6 , 121 β 2.041975.. . 2.041975.. . β β 25 , β 3 8 , β1 , 6 , 121 , 2.041975.. . β 25 , β 3 8 , β1 , 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
β48 a β48 a
β92 x β92 x
11 25 11 25
β 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
β10 + 15 a β10 + 15 a
β56 + 105 y β56 + 105 y
β z + 11 β z + 11
β x + 4 β x + 4
3 β 3 x 3 β 3 x
2 x β 20 2 x β 20
5 x β 66 5 x β 66
7 x β 13 7 x β 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
β 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
β 5 x 2 β 6 x y 5 x 2 β 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 β 6 x 81 x 2 β 6 x
β 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 β 9 x 121 x 2 β 9 x
β 8 ( y β 9 ) 8 ( y β 9 ) β 8 y β 9 8 y β 9
β 5 ( 3 x + y ) 5 ( 3 x + y ) β 15 x + y 15 x + y
2 c + 14 2 c + 14
3 n β 7 3 n β 7
Answers will vary.
Section 1.2 Exercises
β > > β > > β > > β > >
β = = β = = β > > β = =
β β11 β11 β β3 β3 β 3 3
β 6 β β6 β6 β β20 β20 β 20 20
β β32 β32 β β65 β65 β β4 β4 β 13 13
β β4 β4 β β12 β12 β β39 β39 β 14 14
β 64 64 β β64 β64
β β47 β47 β 16 16
( 3 + ( β15 ) ) + 7 ; β 5 ( 3 + ( β15 ) ) + 7 ; β 5
β 10 β ( β18 ) ; 28 10 β ( β18 ) ; 28 β β25 β 11 ; β 36 β25 β 11 ; β 36
β6 a + b β6 a + b
β $ 28 β $ 28
Section 1.3 Exercises
β 12 7 β 12 7
10 21 10 21
2 x 2 3 y 2 x 2 3 y
β 21 a 2 11 b 2 β 21 a 2 11 b 2
β 21 50 β 21 50
11 30 11 30
33 4 x 33 4 x
β 4 9 β 4 9
10 u 9 v 10 u 9 v
β 1 16 β 1 16
β 10 9 β 10 9
β 2 5 β 2 5
2 m 3 n 2 m 3 n
29 24 29 24
17 105 17 105
β 53 40 β 53 40
4 x + 3 12 4 x + 3 12
β 5 6 5 6 β 4 4
β 25 n 16 25 n 16 β 25 n β 16 30 25 n β 16 30
β β8 x β 15 18 β8 x β 15 18 β β 10 k 27 β 10 k 27
β β5 ( a + 1 ) 3 β5 ( a + 1 ) 3 β a a
49 25 49 25
β28 β 15 y 60 β28 β 15 y 60
33 64 33 64
23 24 23 24
β 1 5 1 5 β 6 5 6 5
β 1 9 β 1 9
β 5 11 β 5 11
Section 1.4 Exercises
β 5.78 β 5.8 β 6
β 0.30 β 0.3 β 0
β 63.48 β 63.5 β 63
β40.91 β40.91
β7.22 β7.22
β27.5 β27.5
102.212 102.212
51.31 51.31
β4.89 β4.89
β1200.47982 β1200.47982
337.8914 337.8914
1.305 1.305
$ 2.44 $ 2.44
19 200 19 200
β12.4 β12.4
0.393 0.393
156 % 156 %
6.25 % 6.25 %
β 0 , 36 , 9 0 , 36 , 9 β β8 , 0 , 36 , 9 β8 , 0 , 36 , 9 β β8 , 0 , 12 5 , 36 , 9 β8 , 0 , 12 5 , 36 , 9 β 1.95286... , 1.95286... , β β8 , 0 , 1.95286... , 12 5 , 36 , 9 β8 , 0 , 1.95286... , 12 5 , 36 , 9
β none β β 100 , β7 , β1 β 100 , β7 , β1 β β 100 , β7 , β 8 3 , β1 , 0.77 , 3 1 4 β 100 , β7 , β 8 3 , β1 , 0.77 , 3 1 4 β none β β 100 , β7 , β 8 3 , β1 , 0.77 , 3 1 4 β 100 , β7 , β 8 3 , β1 , 0.77 , 3 1 4
Section 1.5 Exercises
27 m + ( β21 n ) 27 m + ( β21 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 β 78 6 c β 78
3 4 q + 3 3 4 q + 3
5 y β 3 5 y β 3
3 + 8 r 3 + 8 r
36 d + 90 36 d + 90
r s β 18 r r s β 18 r
y p + 4 p y p + 4 p
β28 p β 7 β28 p β 7
β3 x + 18 β3 x + 18
β3 x + 7 β3 x + 7
β3 y β 8 β3 y β 8
β33 c + 26 β33 c + 26
β a + 19 β a + 19
4 m β 10 4 m β 10
72 x β 25 72 x β 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 β x + 5 6 x 2 β x + 5
β 11 ( y β 2 ) 11 ( y β 2 ) β 11 y β 2 11 y β 2
β 8 β β8 β8 β β22 β22 β 22
β β3 β3 β β15 β15 β β56 β56 β 17
( β4 + ( β9 ) ) + 23 ; 10 ( β4 + ( β9 ) ) + 23 ; 10
β 15 x 3 11 y 2 β 15 x 3 11 y 2
8 x 15 y 8 x 15 y
31 36 31 36
β 11 8 11 8 β 5 6 5 6
β 1 6 β 1 6
β 1 5 β 1 5
96.978 96.978
β 48 5 β 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 β 5 p x p β 5 p
β6 x β 6 β6 x β 6
6 y + 16 6 y + 16
Practice Test
7 n + 7 7 n + 7
β8 β 11 ; β 19 β8 β 11 ; β 19
( β8 β ( β3 ) ) + 5 ; 0 ( β8 β ( β3 ) ) + 5 ; 0
β 28.15 28.15 β 28.146 28.146
15 17 15 17
β 5 3 β 5 3
β 7 6 β 7 6
β65.4 β65.4
1 8 13 1 8 13
13 y β 3 13 y β 3
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- Authors: Lynn Marecek, Andrea Honeycutt Mathis
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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
- 4. Multiple Choice Edit 15 minutes 1 pt 5x - y = 16 -y = 5x + 16 y = 5x + 16 x = 5y - 16 y = 5x - 16
- 5. Multiple Choice Edit 15 minutes 1 pt Solve for t. D= rt D/r = t Dr = t D/t = r Dt = r
- 6. Multiple Choice Edit 15 minutes 1 pt Solve: V = ΟrΒ²h , for h V/(ΟrΒ²) = h V - ΟrΒ² = h V + ΟrΒ² = h V/Ο = h
- 7. Multiple Choice Edit 15 minutes 1 pt Solve for y: y + 2 = 3x y = 2x + 3 y= 3x +2 y= 3x -2 y= 6x
- 8. Multiple Choice Edit 15 minutes 1 pt 4x + 3y = 9 y = -3/4x + 3 y = -4x + 9 y = -4/3x + 3 3y = -4x + 9
- 9. Multiple Choice Edit 15 minutes 1 pt a = b + c , for c c = a - b c = a + b c = ab c = a / b
- 10. Multiple Choice Edit 15 minutes 1 pt Solve the equation for y. 2x + 3y = 4 y = (4-2x)/3 y = (2x-4)/3 x = (4-3y)/2 y = (4-2x)/ -3
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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 π. The variable must be raised to the second power. Click the card to flip π. 1 / 16.
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?
3a + 2 β 6aa2 β 4 = 1a β 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.
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.
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 ...
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 ...
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.
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.
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.
Algebra 1 >. Solving equations & inequalities >. Quiz 3. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
This topic covers: - Simplifying rational expressions - Multiplying, dividing, adding, & subtracting rational expressions - Rational equations - Graphing rational functions (including horizontal & vertical asymptotes) - Modeling with rational functions - Rational inequalities - Partial fraction expansion
16 = 102+3x 16 = 10 2 + 3 x. 6 = e4+9x 6 = e 4 + 9 x. 9 βe6x = 0 9 β e 6 x = 0. ex2β2 = 4 e x 2 β 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.
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
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
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.
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 ...
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.
4.6 based on 20924 reviews. Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graph.
8. Multiple Choice. Solve the equation using the quadratic formula. 9. Multiple Choice. Solve the equation using the quadratic formula. 10. Multiple Choice. Use the discriminant to find the number of solutions for the following equation.
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.
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.
Solving Equations With Variables on Both... 4.8K plays 8th 20 Qs . One Step Equations 14.9K plays 6th 25 Qs . Graphing Systems of Equations 978 plays 9th - 10th 20 Qs . Solving One Step Equations 2K plays 7th - 9th Build your own quiz. Create a new quiz. Browse from millions of quizzes. QUIZ . Literal Equations Practice. 7th -
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 ...