Algebra Questions

Select the correct choices that complete the sentences below a The conditional is symbolized by and is read b The biconditional is symbolized by and is read a The conditional is symbolized by and is read if and only if but or and if then

Select the correct choices that complete the sentences below a The negation is symbolized by and is read b The conjunction is symbolized by A and is read c The disjunction is symbolized by v and is read a The negation is symbolized by and is read w but or if then and if and only if

Fill in the blanks A statement is a sentence that is A statement is a sentence that is or true or postive an opinion but not both simultaneously but not both simultaneously

Give me a glass of water Is the given sentence a statement O No O Yes Next questie

Polynomial Subtraction Simplify each difference 1 8x 8 8x 8 8x 7x B 23x 6 D 23x A 23x 14 C 15x 2 2 8 8r 7r 6r 1 A 10 7 C 6r 7 B 6 2r 7 D 6r 3r 7

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v4 6v v4 8v A 6v4 3v 6v B 6v49v 6v C 6v49v 10v D 6v 5v 6v 4 6 4 8a a 5a 3a 7a 11a 2a 19a 3a A 5a B 5a C 5a4 11a 3a D a 11a 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30 145 22 41r 77 26 75r 70r4 A 1855 100r4 73r 41r 33 B 895 100r4 73 41 33 C 895 100r4 26 41r 55 D 895 100r4 73r 41 55

1 11 x 5x5 2x4 2x 8x A 3x5 10x4 6x B 3x 10x x C 5x 10x4 x D 3x 10x42x

12 12 7v4 4 8v4 2v A 15v4 4 B 22 4 4 C 15v4 3v 4 D 224 3v 4

10 23 73 11 8r 42r 36r 51 15r 74 74 74 74 A 444 77 881 B 44r 31 887 C 104 77 887 D 444 33 88r

8 92x 92x 59x4 42x 40x5 18x 42x 98x A 73x 59x 60x 190x 42x B 132x5 59x4 60x 190x 42x C 99x5 59x4 60x 190x 42x D 160x 59x4 60x 190x 42x

9 88p 41p 64p 18p 84p 48p 51p 83p A 136p 106p 103p 40p B 136p 106p 13p 40p C 125p 101p 13p 40p D 125 p 106p 13p 40p

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v4 6v v 8v A 6v4 3v 6v B 6v49v 6v C 6v49v 10v D 6v4 5v 6v 4 6 4 8a a 5a 3a 7a A 5a 11a 2a B 5a 19a 3a C 5a 11a 3a D a 11a 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30 4 145 22 41r 77 26 75r 70r4 A 1855 100 73 41 33 B 895 100r4 73r 41r 33 C 895 100r4 26 41 55 D 895 100 73 41 55

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v4 6v v 8v A 6v3v 6v B 6v4 9v 6v C 6v49v 10v D 6v4 5v 6v 4 6 4 8a a 5a 3a 7a 11a 2a 19a 3a A 5a B 5a C 5a 11a 3a D a 11a 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30r4 145 22 41r 77 26 75r 70r4 A 185r 100 73r 41r 33 B 895 100r4 73 41 33 C 895 100r4 26 41 55 D 89 100r4 73r 41r 55

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11

Evaluate each expression with an exact answer in radians and sketch the angle on he unit circle in standard position 3 1 2 a cos b sin NS NS c tan 1 2 3 d sec 2 3

x In4 5 equation below a Give a representation of the exact answer using logarithms Not equivalent 5 4 0 28 e 5x b Give a decimal approximation of the answer rounded to two decimal places Preview l n 4 5 x Preview x 0 28

Find the work done in pushing a car along a level road from point A to point B 82 feet from A while exerting a constant force of 90 pounds Round to the nearest foot pound The work done is foot pounds

Find the inverse function of the function below f x 5 log x 3

Find the inverse function of the function below f x 2 e 2

Solve each equation for x If you express your answer as a decimal round to four decimal places a ln x 3 b log3 x 0 2 c log7 x 2 d log x 5 52

Solve for t in the equation below If you give your answer in decimal form round to three decimal places If there is no solution enter DNE If there is more than one answer separate your answers by commas 1 4 In 5t 2 2

Solve for y in the equation below If there is no solution enter DNE for each answer 6 3 9 39 a Give a representation of the exact answer using logarithms b Give a decimal approximation of the answer rounded to two decimal places

Solve for t in the equation below 8 80 a Give a representation of the exact answer using logarithms t b Give a decimal approximation of the answer rounded to two decimal places

Solve for z in the equation below 5 3 11 a Give a representation of the exact answer using logarithms b Give a decimal approximation of the answer rounded to two decimal places

1 point Use the Gram Schmidt orthonormalization process to transform the given basis for R into an orthonormal basis Use the Euclidean inner product for R and use the vectors in the order in which they given B 3 4 0 0 1 1 0 0 2 1 0 1 0 1 1 0

Assignment 8 Problem 16 1 point Let V R2 and let H be the subset of V of all points on the line 3x 2y 6 Is H a subspace of the vector space V 1 Does H contain the zero vector of V choose 2 Is H closed under addition If it is enter CLOSED If it is not enter two vectors in H whose sum is not in H using a comma separated list and syntax such as 1 2 3 4 3 Is H closed under scalar multiplication If it is enter CLOSED If it is not enter a scalar in IR and a vector in H whose product is not in H using a comma separated list and syntax such as 2 3 4 4 Is H a subspace of the vector space V You should be able to justify your answer by writing a complete coherent and detailed proof based on your answers to parts 1 3 choose

6 Given A 2 3 1 27 30 6 1 1 1 0 1 4 0 compute sgn 4132 a1 0 1 a2 0 2 a3 0 3 a4 0 4

1 The expression 3 x 4 2x 7 is equivalent to 1 x 5 3 x 3 2 x 10 4 x 11

2 Ifx 2 y 3 2 and w 1 x y 2 8 which expression results in a rational number 2 y w 3 w y 4 y x

4 The range of the functionf x x 31 5 is 1 5 00 2 5 00 3 3 00 4 3 00

3 Which value of x makes 3 x 3 4 1 8 3 6 2 0 4 4 2 17 1 2 true

Find the domain of the function f x x 12 x 13 What is the domain of f A x x is a real number and x 12 OB x x is a real number and x 0 C x x is a real number and x 13 OD x x is a real number

5 A student is in the process of solving an equation The original equation and the first step are shown below Original 3a 6 2 5a 7 Step one 3a 6 2 7 5a Which property did the student use for the first step Explain why this property is correct

em 4 The graph of f is given to the right Which of the below graphs is a graph of its antiderivative f

7 On the set of axes below graph the line whose equation is 2y 3x 2

6 Maria orders T shirts for her volleyball camp Adult sized T shirts cost 6 25 each and youth sized T shirts cost 4 50 each Maria has 550 to purchase both adult sized and youth sized T shirts If she purchases 45 youth sized T shirts determine algebraically the maximum number of adult sized T shirts she can purchase

5 Which relation is not a function Explain your answer 1 2 3 A A 2 8 4 10 60 69 69 69 H 2 B B 10 3 8 12 3 C C 12 4

4 The value of x that satisfies the equation 1 6 2 10 x 10 15 3 5 is 4 30

2 The function g x is defined as g x 1 27 2 27 2x 3x The value of g 3 is 3 9 4 45

The area of a rectangular wall of a barn is 119 square feet Its length is 10 feet longer than the width Find the length and width of the wall of the barn The width is feet The length is feet

Find f x b Graph f and in the same rectangular coordinate system Use interval notation to give the domain and the range of f and f a Find f x b Choose the correct graph which shows f and f graphed in the same coordinate system OA OB c State the domain and range off and using interval notation Domain of f Range of f 0 Range of f Domain off 0 Oc OD Odu

Solve the exponential equation Express the solution in terms of natural logarithms Then use 10 3 08 What is the solution in terms of natural logarithms X What is the decimal approximation for the solution X Round to two decimal places

f Find f g f g fg and Determine the domain for each function g f x 5x 7 g x x 4 f g x What is the domain off g O O O xix is a x x is a real number and x xx is any real number x x is a real number and x 0 f g x What is the domain off g xx is a real number and x O fg x What is the domain of fg O 11 6 x x is a real number and x x x is any real number xx is xlx is a real number and x 3 O x x is a real number and x 0 6 34 x x x is a real number and x 0 7 xlx is a real number and x xlx is a real number and x 4 xlx is any real number

Use interval notation to represent all values of x satisfying the given conditions Y 5x 3 y 4x 2 and y Y2 OA 0 1 OB 1 00 OC 5 OD 1 00

Graph the given function by making a table of coordinates f x 5x Complete the table of coordinates 2 30 25 20 15 10 5 3 2 1 X y Type integers or fractions Simplify your answers Choose the correct graph below OA 1 2 3 1 X 0 Q Q 1 2 OB 10 5 3 2 1 123 Q Q www 2 forgringringning 5 10 15 20 25 Q OD

4 x 3 equation a Write the value or values of the variable that make a denominator zero These are the restrictions on the variable b Keeping the restrictions in mind solve the equation 3x 2 x 3 9 a Write the value or values of the variable that make a denominator zero Use a comma to separate answers as needed b Solve the equation ACCES

Solve the inequality and graph the solution set on real umber line Express the solution set in interval notati 5 5 x 5 x 6 The solution set is Type your answer in interval notation Use integers or fractions for any numbers in the expression Choose the correct graph below O A O C 8 8 6 6 2 2 0 2 6 8 OB D 8 8 6 6 2 2 0 2 2 7 4

Graph f x 4 and g x log ax in the same rectangular coordinate system O Q CXS

y varies jointly as x and z y 56 when x 2 and z 7 Find y when x 6 and z 6 V

6 State whether the product of 3 and 9 is rational or irrational Explain your answer