Algebra Questions

Write your solutions on a separate sheet of paper Estimate 250 as an integral power of 10 no calculator

iv g x ex 10 9 8 Domain Range x intercept y intercept Horizontal Increasing Degreasing G

oints Among all unit vectors u X Y in R find the one for which the sum x 8y 7z is minimal 2

9 10 1 6n 11 10 1 4v 13 4 8 3 10n 15 9 2 9 8n 10 5 6k 6 12 10 5k 6 14 9 5 3 6x 16 8 9 8n 10

25 9 8k 9 k 10 27 7 4 x 10 6x 2 29 4 a 3 6 1 4a 31 7 2k 8 10 8k 4 26 7 6 k 5 9k 10 28 8 a 2 5 5a 3 30 7 9 6p 3 8 4p 32 3 8r 6 7 r 5

19 3n 10 n 2 21 10n 9 n 2 23 8 n 10 4 n 2 25 9 8k 9 k 10 20 3r 6 4 2r 22 7 a 6 9 24 1 10x 1 5x 26 7 6 k 5 9k 10 6

Independent Simplify each expression 1 8 6x 6x 3 7m 5m 5 9b 2 6b 7 9 10 6r 2 7r 6 6 10r 4 2x 1 6 6 4n 5n 8 5 2n 6 Dat

1 Select all of the fractions that when converted result in a repeating decimal D O 0 7 6 9 9 3 Add Write in simplest form No calculator 1 0 75 1 0 45 8718 L 0 Subtotal 129 50 Tip 23 27 Subtotal 98 40 6 9 0 3 0 Tip 17 71 Subtotal 142 17 Predicted Actual 5 Subtract Write in simplest form I 9716 11 2 L 20 6 75 10 25 Due 2 Add Write in simplest form 5 3 1 7 For parties of 6 or more people at a certain restaurant a tip of 18 is automatically included on the bill Select yes or no to indicate whether or not each of the following tip amounts is correct for an 18 gratuity on each subtotal Yes No 4 Subtract Write in simplest form 2 45 3 9 6 Julia wants to purchase a pair of headphones that are on sale for 42 79 The sales tax rate in her county is 6 Calculate the amount of sales tax Julia will pay on the purchase Round to the nearest cent if necessary Tip 22 75 8 The table shows the predicted and actual amount of snow for a local city What is the percent of error for the amount of snowfall Round to the nearest tenth of a percent if necessary Similar to Percent of Change Snowfall inches

2 3x 5 2x 6y 7y

2 3x 5 2x 6y 7y

Distribute and combine like 1 4 2x 8y 3x 6y

5 3x 2x4 8x 10x 9

4 7 2x 4y 5 8y 10x

3 3 6y x 6x 10y

2 3 4x 7y 6 2x 2y

1 4x 5 2x 8 10 JANNE

1 3 2x 4 2 8 2x

a Solve 42x 1 8x 3 b Solve e e e e

Write your solutions on a separate sheet of paper Estimate 250 as an integral power of 10 1

4k If e 8 what is e k

5 Solve ex 5e 6 0

Sketch the graph of y 3 2 specify the domain range intercept s and asymptote 10 9 8 7 6 5 4 3 2 10 9 a do it 6655 on dito 9 5 1910

P The following hyperbolic sine and cosine functions are defined below cosh x e e 2 Show that cosh x sinh x 1 sinh x e e 2

Solve 9 4 3 3 0

Suppose f x 1 b show that 1 f x 1 f x L 1

Let f x 2ln x x 1 find f x

1 For each function a Sketch the graph b Describe the domain and range c State and show the x intercept and y intercept if any d State and show any asymptote e Determine over what interval the function is increasing or decreasing i f x 2x f x 2x Domain Range x intercept y intercept Horizontal Asymptote Asymptote Increasing Decreasing 40 Blank 10 UN HUMEN Wireles 10 0 Domain Range x intercept lpl y intercept Horizontal Increasing Decreasing

2 Find the value s of x a 4x 2 9 2 0 b x 4 10 x 3 2x 10 Home

4 The number of chinch bugs in a lawn doubles every month If there are about 300 bugs now how long will it take for their numbers to grow to 19000 I 300 A 19000 6 2 T n 30 days 1 month 800 19000 2 I 63 3 19000 800 2 800 19 I T 2 30

Find the value of a and b in the function f x ab if f 1 15 and f 2 5 9

Let f x 2 show that f x h f x h F h

Let f x 2 2 2 and g x 2 2 2 Compute f g ERSIER FORMA AIL CRVENON

4 3 6a 1 8 A 3 6a 3 24 B 12 96a 3 24 C 12 96a 12 96a 3 24 D 12 96a 3 24

9 2x 4X3x 5 A 6x 22x 20 B 6x 20 C 6x 2x 20 D 6x 2x 20 11 11 2p 5p 3X Sp 2 10 10 7 7v 2 7v 3 A 16 20 58v 16 B 25 55 34v 16 C 49 28 7v 6 D 56 11 12v 9 12 12 4

7 A B C D 5 12x 8x 16 9 3x x 8 2 2x 3x x 32 6 8 8 6a 7 2a 7 A 12a 56a 49 Bj 12a 49 C 12a 28a 49 D 12a 56a 49

C 4 2 25 D 4 25 5 0 6m 2 20 6 2 2 A 0 25 47 61 B 0 36m 264 4 84 C 0 36m 4 84 D 0 25m 6 9 47 61 B C D 12x 8x 16 9 3x x 8 2x 3x x 6 8 6 6 0 0 3 A 0 64 0 09 B 0 64 0 48 0 09 C 20 25 70 2x 60 84 D 0 64 0 09 8 68 7X2a 7 A 12x 56a 49 B 12a 49 C 12 284 49 D 124 56 49

11 11 2p Sp 3X5p 2 A 56p 4p 4p 8 B 10p 21p 5p 6 C 7p 31p 16p 20 D 10p 19p p 35 12 121 1 A Sp 85p 10 Sp 3 10 5 10 C D 15p 107p 22

Find each product 1 1 Sx 2 A 25x 20x 4 C 25x 4 B 25x 4 D 5x 4 2 2 7n 1 7n 1 A 64 96n 36n B 49n 14n 1 C 64 36n D 49n 1

3 3 2n 5 2n 5 A 9n 64 C 4n 20n 25 B 36n 4 D 4n 25 4 4 3 6a 1 8 A 3 6a 3 24 B 12 96a 3 24 C 12 96a 12 96a 3 2 D 12 96a 3 24

Rewrite the function using the power reducing formulas f x 4 sin x f x Use a graphing utility to graph the function y 1 5 1 0 0 5 1 5 1 00 5 N y 4 0 5 0 5 1 0 1 5 1 0 1 5 X 1 5 1 0 0 5 1 5 10 0 5 y 2 2 y 2 0 5 1 0 1 5 0 5 1 0 1 5

in 20 The function h t 16t 75t 80 models the height in feet h of a ball as it is thrown into the air at time 4 in seconds At which of the following times will the ball be 124 feet above the ground A 3 seconds B 4 seconds C 5 seconds D 10 seconds elton Morgan Standard A APR 3 A REI 4a A REI 4b A REI 4b A REL 4b Strand A A A A A Student Response B choice2 choice4 choice6 choice7 choice9 2 C C

Begin with the graph of y e and use transformations to graph the function f x ex 3 Determine its domain range and horizontal asymptote Which transformations must be applied to obtain the graph of f x ex 3 Select all that apply A Reflection about the x axis B Horizontal shift C Horizontal compression or stretch D Reflection about the y axis E Vertical compression or stretch 10 8 6 2 10 8 6 4 2 2 4 6 8 40

Solve the equation F 0 64 125

Approximate each number using a calculator a 83 14 b 83 141 a 83 14 b 83 141 C 83 1415 685 019 Round to three decimal places as needed Round to three decimal places as needed d 8t

Graph the function Based on the graph state the domain and the range and find any intercepts x 2 if x 2 x 2 if x 2 f x e e Q Q The domain is 0 00 Type your answer in interval notation Q

Which of the following rational exponent expressions is NOT simplified correctly as a radical expression

Graph the function Based on the graph state the domain and the range and find any intercepts x 2 if x 2 x 2 if x 2 f x e Choose the correct graph of f x

Click on the base e button and uncheck the Integer Values box to graph the function f x e For all x0 the gra of f x e lies between two exponential functions y p and y q Using the b slider find the two smallest integer for p and q and estimate f 1 Use the interactive figure to find your answer Use the left and right arrow keys to move along a slider as needed Click here to launch the interactive figure The two smallest integers are and Use ascending order

The graph of an exponential function is given Select the function for each graph from the given options 1 x y 4 1 y 4 y 4 y 1 4 y 4 y 4 y 4 1 Drag each function given above into the area below the appropriate graph depending on which function is represented by which graph 35 Q36 Q37 Q 39 Ox Q 40 y 0 y Q y 4 41 17 Q 38 42 y

If 36 25 what does 6 equal 6 Simplify your answer Type an integer or a fractio