Algebra Questions

Write an equation in slope intercept form of the line that passes through 5 4 and 6 9 An equation is

6 44 Example Find u P2 R such that 1 p t cos t dt 1 for every p P R S L PU p t u t dt

Write a piecewise function represented by the graph y 2 2 2 7 ifx 0 ifx 0

Write a step function represented by the graph y 7 1 2 1 1 w 4 5 6 Y 2 3 x if 5 x 3 if 3 x 1 if 1 x 1 if 1 x 3

2022 Kuta Software LLC All rights reserved Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x 24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k16 D 25k 48 34k 9 7b b 4 3b 4b 1 A 21b4 25b b 17b 4 B 2164 4b 4 C 16b4 20b 34b 8b 5 D 12b4 32b 7b 36b 15 2 4 8 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28n 18 10 4 n 4 2n 7 A 2n B 2n 28 C 2n 15n 28 D 2n 15n 28 66 8k 7 4k 2k 2 n 28 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14 8 8b 3 8b 5b 8 A 6b 5b 24b 7 B 216 34b 2b 8 C 86 336 3b 4 D 64b 64b 49b 24 10 7b 6b 7 6b 8b 5 A 16b4 54b 92b 54b 40 B 16b 18b 40 C 4264 92b 125b 86b 35 D 16b4 42b 56b 6b 40

Kuta Software LI Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k 16 D 25k 48 34k All rights reserved 2 4 LO 6 8 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28n 18 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28 6 8k 7 4k 2k 2 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14 8 8b 3 8b 5b 8 A 6b 5b 24b 7 B 216 34b 2b 8 C 86 33b 3b 4 D 64b 64b 49b 24

1 3 Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 7 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x24 D 14x 37x 24 5 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k 16 D 25k 48 34k 9 7b b 4 3b 4b 1 A 21b4 25b b 17b 4 B 21b 4b 4 C 16b4 20b 34b 8b 5 2013

1 Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 B 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x 24 D 14x 37x 24 5 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4

uta Software Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x 24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 All rights reserved 2 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28n 18 4 6 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28 6 8k 7 4k 2k 2 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14

Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 2 2 2n 5 8n 2 A 16n 36n10 B 28n 45n 18 C 28n 3n 18 D 28n 18

Multiply Polynomial Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n62n 24

Use the graph of f x x to sketch the following functions Label your graphs a f x x 2 b f x x 2 c f x x 2 2

Suppose that the selling price p of an item for the quantity x sold is given by the demand function P 0 8x 16 a Express the revenue R as a function of x R x p b How many items must be sold to maximize the revenue c What is the maximum revenue that can be obtained from this model d Sketch a graph of R Determine whether the following function is even odd or neither x 1 f x

For the quadratic function f x 2x 8 a Find the y intercept and x intercepts b Find the coordinates of the vertex 9

Given f x x 1 a Show analytically that f is one to one b Find fl c Describe the domain of f d Graphically what is the relation between f and f

8 Determine whether the following function is even odd or neither x 1 f x x Some formulas a b a 2ab b b 2a vertex x Even f x f x odd f x f x

Find the composition g f x in simplest form and describe its domain 4 x f x and g x X x 1

Let f x be defined by the piece wise function 1 x 2 3 x f x x 0 x 0 x 0 a Graph f b Describe the domain and range of f

1 Find the difference quotient Accumo huo ulator is allowed f x h f x h for the following function below

1 In each part determine whether the set G a G 2 4 6 8 in Z10 b G Q x y x y 3 c G Q 0 x Y x y xy xy 3

Consider the following figure Round your answers to one decimal place 8 1 in a Find the area of the figure in2 8 1 in b Find the perimeter of the figure

Find the A P R annual percentage rate necessary for 9000 to grow to 24 000 in 9 years given the indicated method of compounding Express each answer in decimal form rounded to four decimal places a Compounded every 3 months A P R T 11 0479 Not quite b Compounded continuously A P R T 10 8981 Not quite Preview T 11 0479 Preview r 10 8981

2 Let R Z6 x the polynomial ring with coefficients in Z6 Answer the following questions and give a short explanation for each answer a Is R a ring with unity b Is R an integral domain c Is R a finite ring d Does R contain any units If so list them all

1 Adam jogged 8 2 kilometers on Monday and 7 2 kilometers on Tuesday What is the difference between these two distances 2 On Monday George spent 10 hours studying On Tuesday he spent another 4 3 hours studying What is the combined time he spent studying 3 the A coach filled up a cooler with water until it weighed 14 pounds After the game cooler weighed 11 3 pounds How many pounds lighter was the cooler after the game 4 Carol s class recycled 5 boxes of paper in a month If they recycled another 8 4 boxes the next month was is the total amount they recycled 5 A king size chocolate bar was 117 inches long The regular size bar was 8 inches long What is the difference in length between the two bars 6 A small box of nails was 10 2 inches tall If the large box of nails was 6 2 inches taller how tall is the large box of nails 7 Lana had planned to walk 5 miles on Wednesday If she walked 3 2 miles in the morning how far would she need to walk in the afternoon 8 Mike bought a box of fruit that weighed 2 kilograms If he bought a second box that weighed 9 kilograms what is the combined weight of both boxes 9 While exercising Victor travelled 16 2 kilometers If he walked 10 2 kilometers and jogged the rest how many kilometers did he jog 10 Gwen bought a bamboo plant that was 3 8 feet high After a month it had grown another Who was the total height of the plant after a month 7 8 9 10

As students were exiting the student center on campus Vicki took note whether they were listening to headphones The table shows results that she collected Based on Vicki s data what is the probability that a randomly selected student will have no headphones in their ears when exiting the student center Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth if necessary Data for Students Exiting the Student Center Headphones Number of Students 35 Iso

A standard die is rolled Find the probability that the number rolled is less than 2 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary

The blood types of 500 people are collected at a doctor s office The table shows the breakdown of patients by blood type If a person from this group is selected at random what is the probability that this person has type O blood Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth if necessary Answer Blood Type Survey Results Blood Type A B O AB Number of Patients 155 145 155 45 Keypad

10 If a taxi charges a pickup fee of 3 50 and 50 per mile write an expression for the cost of traveling m miles 3 50mt 0 50m

What is the value of 5 more than the quotient of x and 2 given that x is equal to 8 16 5

5 Camille manages the soccer team She needs to order 3 practice jerseys and 1 game jersey for each player If there are x players on the team write an expression for the number of jerseys she needs to purchase a 3x 1 b x 3 1 c 1x 3

If three more than twice x is added to x divided by 4 what is the value of the expression if x is equally to 12 212 224 3 27 12 8 3 27 3

Suze paid a total of 324 for x tickets to a concert Write an expression for the cost of ticket

7 If 3x 4y 2z evaluate the expression if x 2 y 3 and z 5 3 2 4 3 2 5 4 12

6 Write an expression for twice the sum of a and 2b and then evaluate your expression if a is equal to 8 and b is equal to 4 2xa 26 4 9 8

4 A tutoring company charges 17 per hour for its services If h is the number of hours a customer receives tutoring what is the total cost in dollars of tutoring e h 17 a h 17 b h 17 17 h d 17h

3 What is the value of twice x increased by three times y if x 3 and y 4 a 15 6 12 18 d 72

2 What is the value of 2x 4y if x 2 and y 37 a 16 b 8 85 c 8 d 16

10 Explain how the graph of the function f x can be obtained from the graph of y Then graph f and give the a domain x and b range Determine the largest open intervals of the domain over which the function is c increasing or d decreasing 1 To obtain the graph of f stretch the graph of y Graph the function f x AY Q 10 Choose the correct graph below B a The domain of f x is Type your answer in interval notation vertically Ay Q by a factor of 10 and reflect it across the x axis Ay G O D

1 At a bakery each batch of cookies requires 2 cups of flour and each batch of cupcakes requires 3 cups of flour Write an expression for the amount of flour required for x batches of cookies and y batches of cupcakes a 6xy b 3x 2y c 2x 3y d 5 x y

Find projwv Then decompose v into two vectors v1 and v2 where v1 is parallel to and v2 is orthogonal to w 6 V 31 21 w 21 i

Find the roots of the function by graphing y 2x 4x 6 1 I 91 8 71 61 51 41 31 21 11 I I Ch 3 1 3 PLEASE SHOW ALL OF YOUR We I I 3 16 17 11 12 13 14 I I I I 1 1 1 15 16 1 I T I 17 I I T 1 18 I 19 1 1 I

0 x 6x 12 0

4x 19x 12 0 10 x 6

4 48 48

7 ving equations with any method discussed in class Round decimals to the tenth 7 x 4 42 0 4x 19x 12 0 10 x 7x 30 x 6x 12 0

Ch 3 1 3 3 Quiz PLEASE SHOW ALL OF YOUR WORK AND BOX YOUR ANSWERS Find the roots of the function by graphing y 2x 4x 6 Simplify 2 1 7 51 2 31 a 2 b 4 9 6 121 121 1 Block 5 72 5 3 4 3i 6 4 48

Evaluate each expression using the values given in the table 1 2 X f x g x a fog 1 d gof 3 a fog 1 b fog 2 c gof 2 d gof 3 e gog 1 f fof 3 3 9 6 2 7 2 5 0 0 3 2 b fog 2 e gog 1 1 1 0 1 2 3 3 6 c gof 2 f fof 3

Find functions f and g so that f o g H H x 9x 5 Choose the correct pair of functions O A f x x 5 g x x 9 O B f x x g x x 5 9 OC f x 9x 5 g x x O D f x x g x 9x 5

Details expression for the area of the shaded region of the figure 5 712 K 5 6x 4153

L 2 A 3 A 4z 4 li Question Details Find an expression for the perimeter of the figure 1 2z 2 1 1 1 Z 5 Z 1