Algebra Questions

For each of the series below select the letter from A to C that best applies and the letter from D to K that best applies A possible answer is AF for example A The series is absolutely convergent B The series converges but not absolutely C The series diverges D The alternating series test shows the series converges E The series is a p series or a constant multiple of a p series F The series is a geometric series G We can decide whether this series converges by comparison with a p series but the series is not a p series or a constant multiple of one H We can decide whether this series converges by comparison with a geometric series I Partial sums of the series telescope J The terms of the series do not have limit zero K We can decide using the integral test NOTE Make sure that you can provide the proper arguments to support your answers 818181818 1 4n ln n cos nn NT 2n 5 n n n 6 sin n n cos n Activa Go to S

1 Dan has to pay 2 each time he takes the city bus Write an equation for the cost y of Scenario 1 taking x bus trips Y ax 2 One week Dan s bus bill is 34 How many times did he ride the bus X 1 34 2 17 17 timet 3 Dan can buy a monthly bus pass for 39 50 If Dan takes the bus an average of 25 times per month should he buy the pass No because he ll only becible 39 50 2 ride 19 75 to 19 Jimes with the Padd without GP Of The Pass if 38 so the past y a 30 2 25 4 Write an equation for x in terms of y 17y x Scenario 2 1 At Cayla s cookie decorating business she can decorate a dozen cookies in 2 minutes Write an equation for the number of cookies decorated d after m minutes 2 How long would it take Cayla to decorate 30 cookies doporoto 4 cookies per minute write an equation for how

3 5 points each Find the Area and Perimeter of the following sector A P 128 12 ft radius

Solve the equation Check your solution 3x 4 10 X5

Complete the following sentence To clear the decimals in the equation 0 84x 9 4 0 2x multiply both sides of the equation by o clear the decimals in the equation 0 84x 9 4 0 2x multiply both sides of the equation by Type a whole number

Solve the equation Check your answer 1 5 6 1 x 3

Solve the equation Check your solution 64 a I w e 3 1 3 2

olve the equation Check your solution 4 3y 3 9 6 y 6 3y

Solve the equation Check your solution 0 9w 36

Solve the equation by multiplying by the least common denominator LCD 7 15 13 6 x 3 13 30 fraction

Solve the equation by multiplying by the LCD 4a 5 7 5 11a 17 21

Solve the equation c 0 95c 8

Solve the equation by multiplying by the LCD 3x 7 5 9 1 2x F intoger or a fracti

Solve the equation 0 15p 2 5 6 5 The solution set is Simplify your answer Type an integer or

Solve the equation 2x 5X 5 Step by Step Solution it without fractions Do this by multiplying both sides of the ec

Complete the following sentence To solve a linear equation containing fractions multiplying each side of the equation by the used to rewrite the equation without fractions To solve a linear equation containing fractions multiplying each side of the equation by the

Solve the equation Check your solution 4 x 20 x 6 5

Solve the equation Check your solution 2 5n 8 22 lified fractio

Solve the equation Check your solution 9k 5 k 5k 5

Use formulas to find the area of the figure 3 cm 5 cm b OA 28 5 cm 2 OB 24 cm OC 12 cm OD 75 cm 19 cm 8 cm

Find the circumference and area of the circle Round the answer to the nearest whole number 6 ft O A 9 ft 113 ft2 OB 9 ft 38 ft OC 19 ft 19 ft D 19 ft 28 ft

4 1 6 22 29 1 X

Solve the equation Check your solution 4t 5 25 t

1a If Carter can drive 80 miles in 2 hours and he equation below represents the number of miles y that Carter can drive in x hours a y 40x b y 80x C y x 40 d y 160x 1b How long would it take Carter to drive 320 miles a 2 hours b 4 hours 8 hours d 12 hours 40x2 80 a 3 b 5 c 6 d 12 2 If Jenna s earnings w after working h hours can be represented by the equati how many more hours would she need to work in a week if she wants to earn an per week 12 13 Ho 60 320 3 If y kx and y 20 when x 5 what is the value of y when x 4 a 4 b 8 c 12 d 16

3 If y kx and y 20 when x 5 what is the value of y when x 4 a 4 b 8 c 12 d 16

2 If Jenna s earnings w after working h hours can be represented by the equation w 12h how many more hours would she need to work in a week if she wants to earn an additional 60 per week

1a If Carter can drive 80 miles in 2 hours and he continues to drive at a constant rate which equation below represents the number of miles y that Carter can drive in x hours a y 40x b y 80x C y x Hox2 80 40 d y 160x

Do 1 How are you today Is there anything you Good nothing 2 If 80 4x what is the value of x X 20 3 If y 4x what is the value of y if x 5

2 If 80 4x what is the value of x

Solve the equation Check your solution 4 3 5c 11c 6

Solve the following linear equation 3z 5 4

3 If y 4x what is the value of y if x 5

Solve the equation Check your solution 4x 18 2

Solve the equation Check your solution 7 3 v 37v 11v

6 Given the equation y kx what is the value of k if y 12 and x 4

Solve the equation Check your solution 9 4 x 2 6x

4 Given the equation y kx what is the value of x if y 10 and k 5

Solve the equation Check your solution 15 3a 6a 2

Solve the equation Check your solution 6z 18 5z 8 The solution set is Simplify your answer

Solve the equation Check your solution 9 4 9 y

Solve the equation Check your solution 4n8n12 0

Solve the equation Check your solution 3 1 r 12

Solve the equation Check your solution 4 x 4 5 15

Solve the equation Check your solution y 4 2 3

Solve the equation Check your solution 5 x 5 25 lution cot is Tyne an integer or a simplified fractic

Solve the equation Check your solution 5x8 4x 44

Solve the equation Check your solution 9 3z 27

Solve the equation Check your solution 3p 3 21

10 y x 45 4 3 2 F 1 3 5 11 y x y IX 10 45433 S 12 2y 3x r 44 5

16 2y 3x 7 3 5