Algebra Questions

A theater has 34 rows of seats The first row has 22 seats the second row has 26 seats the third row has 30 seats and so on How many seats are in the theater The theater has seats

Find the indicated term of the geometric sequence 2 6 18 54 the 7th term The 7th term of the geometric sequence is

Find the indicated term for the geometric sequence 8 8 8 243 81 27 the 10th term The 10th term of the geometric s

Find the sum of the first 10 terms of the geometric series 4 8 16 The sum of the first 10 terms of the geometric series is Simplify your answer

Find the common ratio for the following geometric sequence 5 20 80 320 The common ratio is Simplify your answer Type an integer or a

Find the common ratio 4 3 8 16 3 3 32 3 The common ratio is Type an integer or a simplified fraction

Use a system of two equations in two variables a and d to write a formula for the general term the nth term of the arithmetic sequence whose seventh term a7 is 8 and whose ninth term ag is 18

Write a formula for the general term the nth term of the arithmetic sequence below Then use the formula for an to find a20 the 20th term of the sequence 4 10 16 22 The formula is an 6n 2 Simplify your answer

theater has 34 rows of seats The first row has 22 seats the second row has 26 seats the third row has 30 seats and so on How many seats are in the th he theater has seats

Write a formula for the general term the nth term of the arithmetic sequence below Then use the formula for an to find a2o the 20th term 1 4 10 16 22 The formula is a 7 Simplify your answer

Find n when a 7 d 7 and an 35 n

Write a formula for the general term the nth term of the arithmetic sequence below Then use the formula for a to find a20 the 20th term of the 4 10 16 22 The formula is an 1 Simplify your answer www

Write a formula for the general term the nth term of the arithmetic sequence a a2 83 84 6 4 2 0 an Simplify your answer Then use the formula for an to find a20 the 20th term of the sequence

In an arithmetic sequence a17 11 a Simplify your answer 12 d Simplify your answer a Write the first five terms of the sequence 11 59 and a30 12 12 49 Find a and d Write the first 5 terms of the sequence 6 a a3 a a5 Simplify your answers

In an arithmetic sequence a17 a Simplify your answer 59 and 230 12 49 Find a and d Write the first 5 terms of the sequence

If an arithmetic series has a 2 d 4 and n 29 what is S

Find the sum of the first 65 terms of the arithmetic series 22 24 26 28 S65

8 10 Divide 8 11x 57x 21x 27 11x A x 6x 3 B x 6x 5 C x 6x 4 D x 6x 6 1 11x 9 5 11x 9 9 Find each product 10 3p p 8 4p 7p 5 A 12p 17p 54p 51p 40 B 12p 25p 40p 61p 40 C 12p 17p 54p 51p 40 D 12p 7p 40 9 9 8x 57x 33x 5 8x 1 A x 7x 5 B x 5x 3 C x 7x 8 D x 5x 2 State if the given binomial is a factor of the given polynomial 11 11 4x 24x 5x 27 x 6 12 A No B Yes 1 8x1 4 8x 1 12 x 8 7x 7 x A Yes B No

4 6 Simplify each sum 4 2x 5 6 2x A 1 C 1 5x 6 A Simplify Your answer should contain only positive exponents 7 C 26 a 2a b 10 16a lo B 1 x D 3 5x B D 64 16a 10 5 64g 12 b 5 2x 6x 3x x A 7x x C 8x x 7 2ab a b a b 2 4b A C 64gH B D B 15x D 14x 166 20

Choose the correct answers to complete each statement from the dropdown menus The inverse of a function is a line over the If the coordinate x y is on f x is on f x then the coordinate

4 6 REVIEW REVIEW Simplify each difference 2 3n 6 3n 4n 7 7n A n 4n 12 6n B n 4n 14 6n C n 4n 12 D n 4n 13 Simplify each sum 4 2x 5 6 2r A 1 C 1 5x 6 A 266 a 1 16a 10 B B 1 x D 3 5x Simplify Your answer should contain only positive exponents ab 2a b 2a 7 2ab D 6 10 5 16a 64 2 3 7 3 6n 5 2n 4 5 8mm A 10n 7n 5 B 10n 8n 5 C 10n 2n 5 D 10m 2n 5 2x 6x 3x x A 7x x 2 C 8x x reserved A 4b C 64a D B 15x x D 14 8b 166

Let f x z 1 g x 7 3x x2 and h x 2x 1 Match the following function operations f g z hf x 4 g f x h g x 3z 6 2x 2 2x 1 I II II

Simplify each difference 2 3n 6 3n 4n 7 7m A n 4n 12 6m B n 4 14 6m C n 4n 12 4n 13 D Simplify each sum 4 2x 5 6 2x A 1 C 1 5x B 1 x D 3 5x 3 5 3 6 5 2n 4 5 8n A 10m 7n 5 B 10m 8n 5 C 10n 2n 5 D 10m 2 5 2x 6x 3x x A 7x x C 8 x B 15x x D 14x 17

Let f 2 x x 6x 1 and g x 9 2 Determine 3f x 2g r In the space provided type the coefficients of your final solution in arx bx c form 3f x 2g x

Determine fg a if f x 5 2x and g x 3x 1 In the space provided type the coefficients of your final solution in az bx c form 19 2 2

Choose the correct inverse function of f x 2x 4 A B C D f x 2x 8 x 2x 8 f x 2x 8 x 2x 8

Match each function from the left with its inverse from the right f x x 4 f x x 4 4 C f x 3x 2 f x 2x 3 x f 1 x f 1 x 13 x X T x x 1 2 x T wo 100 8 3 CO 6 2 3 3 2

Choose the graph that does NOT represent a function and its inverse In each graph the dotted line represents the line y x A B 5 4 3 2 5 4 3 2 1 1 2 1 21 3 4 1 2 3 4 5 1 2 3 4 5 C D 2 5 4 3 2 1 1 2 5 4 3 2 1 5 2 3 4 1 2 3 5 1 2 3 4 5 Review

Place the following steps into the correct order for algebraically finding the inverse of a function Solve for y in terms of x Set the function equal to y Swap x and y Next

Expand a q 5 a q 5 Simplify your answer

Divide 2 2 2 3 A B C D 3 2 3 10 5 3 5 15 8 4 2 2 2 3 6 2 5 5 25 2 15 5 6 45 21 2 2 3 4 2 2

Divide 2 15 12 A B C 5 2 15 3 2 15 V12

2 10 points Rewrite the equation for this circle in Standard Form Identify the center and radius of the circle Graph the equation and label four points without using a calculator x 6x y 2y 6 0

3 Consider the angle 0 4 a 2 points To which quadrant does belong Write your answer as a numerical value b 4 points Find the reference angle for in radians c 4 points Find the point where intersects the unit circle

Simplify each sum 4 2x 5 6 2x A 1 C 1 5x B 1 x D 3 5x 5 5 2x 6x 3x x A 7x x C 8x x B 15x x D 14x x

x 1 x 15 2x 3x 2 Type a response 1 What is the expression that represents the area of the shaded part of the figure

Simplify each difference 2 3n 6 3n 4n 7 7n A n 4n 12 6n B n 4n 14 6n C n 4n 12 D n 4n 13

State if the given binomial is a factor of the given polynomial 1 11 8x 57x 10x 15x 45x 21 x 7 A No B Yes

Find the area of the shaded region 2x 3 1 3x 2 4x 5 x 81 Type a response zoom in Write an expression that represents the area that is shaded 1

Divide 8 91x 43x 17x 5 13x 5 A 7x 6x 1 B 7x 6x 3 C 7x 6x 3 D 7x 6x 1 13x 5 5 13x 5 3 13x 5 Find each product 10 4a 3a 4 4a 3a 8 A 16a 9a 32 B 16a24a 25a 12a 32 C 16a 7a 36a 32 D 16a 24a 25a 12a 32

SUMMATIVE 3 Divide 8 91x 43x 17x 5 13x 5 A 7x 6x 1 1 13x 5 5 13x 5 3 13x 5 B 7x 6x 3 C 7x 6x 3 D 7x 6x 9 9 2v 35v 90v 28 2v 7 4 2v 7 A v 14v 7 B v 14v 4 C v 14v 4 D v 14v 3 5 2v 7

Simplify 1 2y 2yx y O O O O 16x y15 1 32x 2y15 y x18 4 y x

Simplify mn 2 2n4 m n O O O O 2m n4 2 4n m 4n8m 4 6 n 8m6

5 Simplify 2k 8k 7k 6k O O O 14k 2k4 14k 9k 14k 5k 2k4

3 Simplify 6n 4n 3 8n 6n 1 O O O 17n 4 4n 17n 4 12n 4 2

3 2 4x 8x 3x 6x O O O O 7x 14x 12x 14x 3 4x 14x 21x 0

simplify 6a 5a 8 2 4a 6a O O O 2a 14a 1 2a 14a 4 2a 11a 4 2a 11a

1 2 Evaluate each determinant 7 12 6 26 29 32 35 T 5 1 6 603 3 1 6 2 5 4 2 3 5 7 6 8 ble 5 2 6 5 0 4 9 6 8 10 27 41 4c 5d 39 5c 8 54 d 55 30 8 11 9 12 2 0 3 4 2 5 8 3 0 0 0 33 8 2 8 36 2 NG c c c 5 5 3 4 2 a 28 Use Cramer s Rule to solve each system of equations 39 6x 5y 73 7x 3y 71 31 5 LEA AND 0 444 1 14 ON Ada bat ba 5 1 2 Extra Practice is on page 34 4 6 9 2 5 8 WO DON DAN averaged 38 TRAVEL Mr Smith s art class took a bus trip to an art museum The bus 65 miles per hour on the highway and 25 miles per hour in the city The art museum is 375 miles away from the school and it took the class 7 hours to get there Use Cramer s Rule to find how many hours the bus was on the highway and how many hours it was driving in the city bits ab oib 1 2 10 12 40 10a3b 34 3a 8b 28 37 6 0 13 42 6f 8g 22 11f 5g 60 44 11 772 4

13 K 1 3 17 20 4 15 P 38 Q Find the inverse of each matrix if it exists 7 8 3 0 21 whether each pair of matri 3 2 1 2 L 0 1 1 3 6 1 5 6 31 4 9 2 3 1 5 18 21 24 2 3 3 2 5 4 17 4 3 2 7 4 2 2 8 14 M 16 R

Find the explicit particular solution of the differential equation for the initial value provided dy dx y 8x y y 1 6 The explicit particular solution of the differential equation is v