Algebra Questions

Select Yes or No to indicate whether each ordered pair is a point of intersection between the line y x 5 and the parabola y x 3x 10 Ordered Pair 5 0 3 8 5 10 Yes No O

What is the value of x in the equation 3 i 2 B 3 19 2 6 i 34 4 646 2x 6x 52

What is the value of n in the equation 0 18 128n A 64 B C 64 i

Which expression is equal to 6 5 2 3i A 3 3i 7 9i DOO C 3 9i 7 3i

A radical expression is shown below What is the simplified form of this expression O 41 31 A

Convert this equation to slope inte form br 221 0

Convert this equation to slope interce form x y 8 Oy x 8 Oy x 8 Oy x 8 Oy x 8

on of f x

Rewrite the rational exponent expression as a radical expression O The expression cannot be written as a radical expression

Solve Check for any extraneous solutions x 2 4 Ono solution x 62 x 64 x 66

Write the sum of the first three terms of the binomial expansion expressing the result in simplified form 13 x 2 The sum of the first three terms of the binomial expansion is Simplify your answer

K Expand 3x 4y What is the expansion Simplify your answer

Find the indicated term of the binomial expansion 6th x y The 6th term is

K Find the sum of the first 53 terms of the arithmetic series 39 43 47 51 53

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 third term a3 is 15 and whose eighth term ag is 45 an

A theater has 24 rows of seats The first row has 18 seats the second row has 20 seats the third row has 22 seats and so on How many seats are in the theater The theater has seats

4x y The fifth term of the binomial expansion is Simplify your answer

If an arithmetic series has a 5 d 1 and n 33 what is Sn S33

Find the indicated term of the binomial expansion 8th x y What is the 8th term Simplify your answer

Find n when a 36 d 4 and an 24 n

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 3 8 13 18 The formula is a Simplify your answer

Expand x 4 5 x 4 Simplify your answer

Find a when d 2 and ag 10 a1

Find the 11th term of the arithmetic sequence 11 7 3 3 5 a11 Simplify your answer

3 2x X 2 A 11 0 16 x B 1 3 C 11 D 4

Determine which quadratic equation has tw non real solutions A 2x 3x 5 0 B 3x 7x 10 0 4x 8x 4 0 C D x 5x3 0

Write the radical expression for the complex number given 4 160

Select Yes or No to indicate whether each ordered pair is a point of intersection between the line y 2x 4 and the parabola y x 4x 1 Ordered Pair 3 2 1 6 0 4 Yes 2000 No

Simplify each of the following expression Write your answer as a complex number

Simplify each of the following expression Write your answer as a complex number 1

Simplify each of the following expression Write your answer as a complex number Subtract 271 5 3

Which of the following values of x are solutions to the equation x 4x 57 Select all that apply A 1 31 B 4 CO D 2 1 E 2 1

Simplify 2 5

Which is the value of n in the equation 3n 18n 30

Z

6 5 4 3 2 6 B A 7 2 B 2 5 C 0 4 D 2 1 2 3 4 5 6 1 Which of the following points is on a circle centered at 3 1 with a radius of 5 units 2 3 4 5 6

5 6 5 4 3 2 1 Ty 2 3 4 5 2 3 6 1 2 3 4 5 16 What are the coordinates of the circle s center What is the radius of the circle r Given the circle write the equation of the circle in standard form

18 T B P 10 2 0 10 2 0 b 10 Find the coordinates of x in the ordered basis B a b Hint The preview shows the picture of a with the coordinates you pr

Solve the system of equations x y 34 3x 3y 6

6 Simplify mn 2n m n O O O O 4n 4n8m4 2m 72 no 8m

Simplify 2y 2yx 3 y 2 1 24 1 O O O O 16x8 y 5 K 4 y x 1 32x 2y 5 15 Y 18

8 10 2022 Kata Software LLC All rights reserved SUMMATIVE 3 12 Divide 8 91 43x 17x 5 13x 5 A 7x 6x 1 B 7x 6x 3 1 13x 5 S 13x 5 C 7x 6x 3 D 7x 6x 3 13x 5 Find each product 10 4a 3a 4 4a 3a 8 A 16a 9a 32 B 16a 24a 25a 12a 32 C 16a 7a 36a 32 D 16a 24a 25a 12a 32 9 11 11 8x 57x 10x 15x 45x 21 x 7 A No B Yes 9 2 35 90v 28 2v 7 4 2v 7 A 14v 7 7 B 14v 4 State if the given binomial is a factor of the given polynomial 5 2v 7 C 14v 4 D y 14v 3 ZO

10 Find each product 10 4a 3a 4 4a 3a 8 A 16a 9a 32 B 16a 24a 25a 12a 32 C 16a 7a 36a 32 D 16a 24a 25a 12a 32 State if the given binomial is a factor of the given polynomial 11 11 8x 57x 10x 15x 45x 21 x 7 A No B Yes 12 12 a 4 a 1 a A No B Yes

9 g x dx such that A expresses the area of the region between the functions y V and 9 Evaluate the integral to find the area of the region Answers should be exact As a suggestion graph the equations so you can see the region for which you are solving for the area Write an integral in the form A a lower limit of integration b upper limit of integration g x Area of region A

3 Find the exact value of the following logarithmic expression 1 F log11

2 Find the exact value of the following logarithmic expression logs

Find the exact value of the following logarithmic expression

Select Yes or No to indicate whether each ordered pair is a point of intersection between the line y 3x 1 and the parabola y x 4x 1 Ordered Pair 2 5 1 4 0 1 Yes No

Select Yes or No to indicate whether each ordered pair is a point of intersection between the line x y 6 and the circle y 26 x Ordered Pair 1 5 1 5 5 1 Yes 0 No

The system of equations below is represented by which of the following graphs y x 4x 2 y x 2 A C 1 V 1 2 1 10 1 3 4 4 3 H 77 1 D M 5 B D 6 S A 19 t