Algebra Questions

briel s Expression 1 1 Gabriel and Kayla each received the same set of tiles They arranged them differently and they also wrote different expressions to represent their tiles What expression do you think Gabriel might have written

What is the factored form of the expression over the complex numbers 42 25g O 2z Siy 2z Sig O 2z 5ty 2z 50g O 2z 5ig 2z Sig O 2z 5g 2z 5g

What are the roots of the equation x 6x11 7x 8 0 Enter your answers in the boxes X or x or

Factor 54x 2 27y 12 Enter your answer in the box

Josh is printing extra flyers to distribute The flyers are printed at a constant rate The table below shows the number flyers he has after different amounts of time Time minutes 10 15 Flyers 98 Answer the following questions 20 25 123 148 173 a Choose the statement that best describes how the time and the number of flyers Josh has are related Then give the value requested As time increases the number of flyers Josh has decreases At what rate is the number of flyers Josh has decreasing flyers per minute O As time increases the number of flyers Josh has increases At what rate is the number of flyers Josh has increasing flyers per minute b How many flyers did Josh already have when he started printing Quero 8 08 X 5

What is the solution of the equation when solved over the complex numbers 2 20 0 Enter your answers as exact values in the boxes

What are the roots of the equation 4x 20x2 24x 0 O O 3 0 2 2 0 3 O O 0 2 3 3 2 0

Factor 9x 27x 45 Enter your answer in the box

P 2 z 1

10 4 1 5 5 0 5 f x 10 Determine the equations of f x and g x that are represented by the dotted transformations of the function h x x f x g x Check

Divide using synthetic division 4 2 2z 3z 35z 27z 22 Z 3 2 2z 3z 35z 27z 22

Vertex Form What is the vertex of f x 2 x 4 3 What is the vertex of g x x 5 2

Divide using synthetic division 3 z 6z 14 Z 3 3 z 6z 14

What is the vertex of f x x 4x 3 Standard Form What is the vertex of g x 5x 3

Divide using synthetic division 2 3x 5x 8x 2 1 x 3 2 3 3x 5x 8x 2 3

5 10 5 0 5 5 10 Sketch the graph of g x x 3x 4 Explain how you graphed it below VE Share With Class

Find the product of the polynomials x 2 x 5x 8 x 2 x x 8 Simplify your answor

0 2 Write the point slope form of the equation of the line through the given points 10 through 3 2 and 5 2 11 11 through 2 4 and 5 2 A 0 x 3 C y 2 0 A y 4 2 x 2 B y 4 x 2 y 2 x 4 D y 2 x 4 B 0 x 2 D 0 x 3 Write the point slope form of the equation of each line given the slope and y intercept 12 Slope 9 y intercept 5 13 13 Slope A y 9 x 5 B y x 5 C y 5 x D 54 9 3 A y x 2 C y 2 x y intercept 2 B y x 2 D y 2 x

4 Consider the function f x 2x 4x a 5pts Find the average rate of change between x 1 and x 2 2 2 4 2 2 1 4 1 n f x f 2 F a X b X a 2 xth 4 x h 2x 4x 2x 2xhth 4 4h 2x 4x 2xhth 4h 20 h x h 4 2 1 1 2 1 lim 2 1 0 4 h 0 b 5pts Find the average rate of change between x 1 and x L F b Fla b Xa 1 6 11

Write the point slope form of the equation of the line through the given point with the given slope 8 through 2 1 slope 1 A y 2 x 1 B y 2 x 1 C y 1 x 2 D y 1 x 2 9 9 through 5 5 slope A y 5 x 5 B y 5 x 5 C y 5 x 5 D y 5 x 5

1 x y 1 A y 3x 1 C y x 3 B y x 1 D y x 1 12 12 2x y 4 A y 4x 2 C y 4x42 B y 2x 4 D y 2x 4

Write the slope intercept form of the equation of each line 9 4x 7y 7 4 A y x 1 C y x 1 B y x 1 D y x 7 10 10 3x 5y 30 3 A y 6x 5 3 5 B y 6x C y x 6 5 D y x 6

Evaluate the common log Round to 3 decimal places log 40 O O 4 235 1 602 4 012

Divide 7x 43x 33 x 6 using synthetic long division Step by Step Solution Each polynomial is in standard form The dividend is 7x 43x 33 and the divisor is x 6 Step 1 Write the dividend in standard form Then copy the coefficients of the dividend Remember to inser missing power of x The dividend is already in standard form Copy the coefficients of the dividend in the or originally appear

Any leftover acetylcholine still floating around in the synaptic cleft will either diffus away or get degraded by an enzyme called acetylcholase acetylcholinase acetylcholinesterase

Find the sum of a b c and d if 3x 5x 30x 28 x 2 2 ax bx c d x 2

Use synthetic division to rewrite f x in the form f x x k q x r for the given value of k 3 f x 2x x x 5 k 1 Show the synthetic division in the following table What is f 1

Find the product of the polynomials 3 y 8y 7 7y 3 y 8y 7 7y Simplify your answer

Find the product of the polynomials x 2 x 5x 8

The volume of the box shown is 5x 12x 116x 48 cubic centimeters Find the length if the width is x 6 centimeters and the height is x 4 centimeters C x 4 x 6

Divide using any appropriate method 3 2 x 5x 4x 12 x 2 3 2 x 5x 4x12 11

Divide using synthetic division 3 6x 17x 21x 3 6x 17x 21x 3 1 I X 1 6 16

Divide using synthetic division 2 x 25x 172 X 4 x 25x 172

Divide using synthetic division 4 2y 13y 25y 29y 50 y 4 2y 13y 25y 29y 50

Divide using synthetic division 2 x 8 x 3 x x 8 Y 3 11

Divide using synthetic division 2x x 4 X 5 Complete the following synthetic division table Write your answer below N

Divide 4x4 26x 13x 7x 6 3 x 6 Write the answer to this problem below 4 v 13v 3 2 Av 26x 7x 6

Divide using any appropriate method 5 3y 12y 9y 3y 7 5 3y 12y 9y 3y UC COL 11

The function ha x 3 1 is graphed on 1 1 5 determine the following information from the graph provided 4 10 00 2 C 2 A 3 9 8 10 L

n 1 6 10 10 19 2 1 5 2 5 2 6 15 statements is true about the function g The function ga is graphed Determine which of the follow OThe range of the function g is 3 5 0 O From 7 x 6 the function g has two decreasing intervals O The function g has two relative maximums on the interval 7 x 6 O The function g has one solution when g x 1 on the interval 7 6 Next

Use the fundamental identities to fully simplify cos x sin x csc x Enclose arguments of functions in parentheses For example sin 2x cos x sin x csc x FOT

Choose the key characteristic from the options to describe each graph vertex at 5 1 minimum at 5 1 maximum at 5 1 one zero Function f x x 5 1 g x 2x 5 1 h x x 10x 24 Vertex Maximum Minimum no zeros Zero s Drag and drop an answer c two zeros

The function h x is graphed on the xy plane below 4 2 10 8 6 4 2 NO 2 4 2 4 6 00 8 10

Match the function fa 5 16 2 4 5 to the graph it represents 1

Solve r r 2 5 2r 11 7

Solve A 27 m B C D 117 13 m 9 m m m 3 3 243

Solve 3x 4 4x 8 3 8x 1 X

Solve 7x 3 2x 13 O x 55 or 5 16 O x 2 9 Ox 1 10 O x 2

1 REVIEW SUM 1 Q2 Find the slope of each line GIVEN a graph or an equation 2 2 3 25 5y 8 x Find the slope of the line through each pair of points 5 12 7 19 15 6 Find the slope of each line 5 7 y x 2 3 V 4 4 x 3 3y 6 10 2 7 16

REVIEW SUM 1 Q2 Write the point slope form of the equation of the line through the given point with the given slope 9 8 through 2 1 slope 1 A y 2 x 1 B y 2 x 1 C y 1 x 2 D y 1 x 2 10 through 3 2 and 5 2 A 0 x 3 C y 2 0 A y B y Write the point slope form of the equation of the line through the given points 11 11 through 2 4 and 5 2 A y 4 2 x 2 B y 4 x 2 C y 2 x 4 D y 2 x 4 5 x 9 through 5 5 slope x 5 B 0 x 2 D 0 x 3 5 C y 5 x D y 5 9x A y 5 x 3 Write the point slope form of the equation of each line given the slope and y intercept 12 Slope 9 y intercept 5 13 9 x 5 B y 5 x 5 2 C y 5 x 5 D y 5 x 5 4 3 1 3 A y x 2 C y 2 x 13 Slope y intercept 2 B y x 2 D y 2 1 3 x