Algebra Questions

Click here to watch the video Find the least common denominator of the following rational expressions 6s 5 s 3 and 2 s 2s 24 s 8s 16

Watch this video and then answer the following question Click here to watch the video Perform the indicated operation and simplify the result 4 Ov 4 14 9y 18y 14 18v

Click here to watch the video Perform the indicated operation 3x 2 x 7 X 6 X 7 3x 2 x 6 x 7 X 7 11 Simplify your answer

2 In a class of thirty students 12 complete all of the classwork one day What percentage of the class completes all of the classwork a 4 b 12 c 30 d 40

4 At a bake sale they are selling pies brownies and cookies Over the course of the day they sell 200 total baked goods If 60 people buy a cookie 20 people buy a pie and the rest buy brownies what percentage of customers bought a brownie a 10 b 30 c 60 d 80

3 At a zoo there are 10 zebras 12 lions 6 giraffes and 12 monkeys Zebras make up what percentage of all animals a 10 b 20 c 25 d 33

Which binomial expressions are factors of 5x3 8x 7x 6 Select each correct answer O x 1 O x 2 0 x 1 O x 2

Which values are possible rational roots of 122 147 z 18 0 according to the rational root theorem Select each correct answer 0

Three is a zero of the equation 4x 3x 18 0 Which factored form is equivalent to the equation O x 2 x 3 x 3 0 x 2 x 3 x 3 0 O x 2 x 3 0 O x 2 x 3 0

What was the approximate number of mobile cellular subscriptions per 100 people in Zimbabwe in 2003 The display gives the result of performing an exponential regression on a data set where the inputs are years since 2000 and the outputs are the corresponding mobile cellular subscriptions per 100 people in Zimbabwe ExpReg y a b x a 1 067905095 b 1 501755837 2 9525580427 r 9759908005 C 2 6

Which real numbers are zeros of the function f x 2x 9x 7x 6x Select each correct answer 0 3 0 2 0 1 2 0 H

Paula used synthetic division to divide the polynomial f x by x 1 as shown in the table What is the value of f 1 0 2 0 1 1 2 5 4 2 3 2 3 7

Describe and correct the error a student made in solving an equation x2 5x 5 0 a 1 b 5 c 5 X 5 5 4 1 5 2 1 5 25 20 2 X A The student used b instead of b in the first term in the numerator when substituting values into the formula OB The student tried to use parameters from the wrong form of the quadratic equation The student should have rewritten the equation as a x b c 0 and then substituted those values into the Quadratic Formula OC The student dropped the negative sign in simplifying the expression 5 D The student used a instead of 2a in the denominator when substituting values into the formula

Find the vertex of the graph of the quadratic function Determine whether the graph opens upward or downward find the y intercept and sketch the graph f x x 2x 8 The vertex is Simplify your answer Type an ordered pair

Find the vertex of the graph of the quadratic function by completing the square or using the vertex formula f x 3x 18x 20 The vertex is Type an ordered pair

Multiply and simplify the rational expression 2 X 2 x 2 X 4 2 X 64 4 2 X 2 2 x 6x 16 2 x 2x 8 6x 16

Divide the rational expression Simplify the quotient if possible 2 p 3p 18 2p 3p 2 2 p 3p 2 p 2p 8 p 3p 18 2p 3p 2 2 3P P 2 p 2p 8

Multiply or divide each rational expression as indicated Simplify the product or quotient if possible 3 z 64 2 z3z 28 3 Z 64 z 2z 35 2 2z 8z 32 z 2z 35 Simplify your answer

Simplify the following rational expression 64 K 2 k 7k 8 2 64 k

8 You have Tegopen solution 0 15 Gm per 5 mL in the medication cart The order reads Tegopen 300 mg po q 12 h How many teaspoons will you give

Click here to watch the video Simplify the rational expression y y 12 2 y 5y 36 y y 12 Simplify your answer

Simplify the following rational expression 3 x 64 2 3x 7x 20 3 x 64 3 Type your answer in factored form

Simplify each rational expression 2 2w 7w 30 5 2W 2w 7w 30 Simplif you Hor

Click here to watch the video Multiply and simplify the following rational expressions p 36 2 p 9p 18 2 p 36 4p 7p 2 3p 18 2 4p 7p 2 Simplify your answer

Multiply and simplify the rational expressions 20x 60 2x x 15 2 2x 11x 15 12 4x 20x 60 2 2x x 15 com ur

Multiply and simplify the following rational expression 2 m 6m 9 2m 13m 7 7 m 2m 7m 3 2 2 m 6m 9 2m 13m 7 2 7 m 7 Simplify your answer

Divide the following rational expressions Simplify the quotient if possible 2 x 3x x 2 2x 2 x 3x 10 2 x 3x X 2 2x Type your answer in factored form

Click here to watch the video Divide the rational expressions 10b 11c 2 5b 4 4 10b 22c 2 11c 5 11 Simplify your answer

Which of the following describe the function g z log x 2 3 Choose ALL that apply There is no x intercept and the y intercept 0 10 The domain is the set of all real number greater than 2 A vertical asymptote at x 10 DA graph of 0 Avertical asymptote at x 2 DA graph of 0 10 15 O The graph of god is symmetric to its inverse exponential function over the line y x D The graph of gbd is symmetric to its inverse exponential function over the line y 0 The domain is the set of all real number less than 2

Which of the following functions has the same horizontal asymptote and range as the function graphed below 5 5 Of x 2 2 3 Of x 2 2 3 Of x 2 2 2 Of x 2 2 2 0 5 10 5

Analyze the polynomial function f x 2 x 4 x 2 using parts a through e c Determine the zeros of the function and their multiplicity Use this information to determine whether the graph crosses or touches the x axis at each x intercept The zero s off is are Simplify your answer Type an integer or a fraction Use a comma to separate answers as needed Type each answer only once The lesser zero is a zero of multiplicity zero of multiplicity so the graph of f so the graph of f the x axis at x the x axis at x The greater zero is a

A function f x 2 is transformed into the function g x 2 5 Choose the transformations that occurred Choose all that apply O Vertical Stretch Vertical Shift Down Vertical Compression O Vertical Shift Up Horizontal Shift Right X axis Reflection Horizontal Shift Left

Marlee solved the equation below by graphing a system of equations log 5x logg x 5 Which system of equations could be used to approximate her solution What is the approximate solution for her system of equations O System y log2 5x and y logs x 5 O System y log2 5x and y logg x 5 System y log 5x and y log x 5 Solution x 0 35 O System y 5x and y x 5 Solution x 0 806 Solution x 0 806 Solution x 0 35

The combined area of New York and California is 204 188 square miles The area of California is 108 532 square miles more than that of New York Find the land of each state

Use the Change of Base Property to find log7 50 Round to the nearest thousandth O 2 012 O 2 110

logo 2x 4 2 O x 25 Ox 40 O x 2 O x 20

Evaluate the common log Round to 3 decimal places log 60 O 1 7251 O 1 7782 O 10 7782

log7 343 03 02 04

256 2 3 16 6 0x 12 Ox 12 Ox 9 Ox 0

Rewrite the logarithmic equation as an exponential equation log7 2401 4 0 47 2401 0 7 2401 O 7 4 2401 O 24017 4

The following set of points are on the graph of f x X 13 2 3 5 4 7 5 9 6 11 7 13 Which point is on the graph of f1 x the inverse function O 5 3 O 3 5 5 3

Find the composition f g x f x x g x x 4 O2 8x 16 O 8x 16 O 16

Solve 382 1315 0x 2 x 1 1 2 0x 1 7 0 x 1

Find the equation of the line tangent to the circle x 2 y 13 at 4 3

3 z 5 29 10 Combine like terms on the left side of equation Divide by 3 Distribute 3 to the binomial Subtract 14 from each side

Solve Tr 4 2 3 x 5 1 Then find 1 11

Solve 95 6x 25 Then find 4z

If a 3 b 1 evaluate 3a 7 bl A 1 B 1 C 2 D No solution

Evaluate 3 2x 9 4x 1 when x 2 A 7 B C 28 46

A corporation creates a sinking fund in order to have 510 000 to replace some machinery in 10 years How much should be placed in this account at the end of each week if the annual interest rate is 3 2 compounded weekly Round your answers to the nearest cent How much interest would they earn over the life of the account Determine the value of the fund after 2 4 and 6 years 2 years 4 years 6 years es How much interest was earned during the third week of the 5th year