Algebra Questions

4 40 people are asked whether they have a dog or a cat 12 respond that they have a cat only 6 respond that they have a dog only and 10 respond that they have both What percent of the people surveyed had neither a dog nor a cat

3 Melinda has red blue and black pens 10 of her pens are blue 30 are black and the rest are red If she has 15 black pens how many blue pens does she have

1 Leslie gets a check for 200 for a week of babysitting She spends 80 on concert tickets and spends the rest on a new outfit for the concert What percent of her money did she spend on clothes

6 Pat spent 20 of the money in his bank account on a new phone If the phone cost 300 how much money does Pat have left

Graph the following function over a two period interval Give the period and the amplitude y sin 4x What is the period of the function y sin 4x I 2 of 1 Save Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression What is the amplitude of the function y sin 4x Type an integer or a simplified fraction

2 Lisa has a bag containing 60 potato chips She eats 80 of the chips and saves the rest for later How many potato chips are left

K Determine the amplitude of the function y 4 cos x Also choose its graph The amplitude is 4 Choose the correct graph O A OB GEETSS Q O C OD O OU

Graph the following function over a two period interval Give the period and the amplitude 1 y cos x 1 What is the period of the function y cos 7x 10 MG 2 Simplify your answer Type an exact answer using as needed Use integers or fractions for any numb e expression WIENA GIVEN VERS ENDEAVE WESTEN MASS SEA TO CON TENDRESSE MAN SE ELE Par NESTAR W S S CHEREAFUATO D MATANG PE D C D www comww Se D NO C D PRENSANTO Tse gang med an SEMANG PODER W lata TOLERAN S Bes THE PO Sempres S SE bod Mercede CONSER

10 8 Solve this expression A 28m n B 28m n 1 C D 28m n 28m5 n 4m n 7m n m n7

Simplify the complex rational expression using either Method I or Method II 2 n 2 n 9 n n 3 2 n 2 n 9 n 2 n 9 n n 3 1 n 3

Simplify the following complex rational expression using either Method I or Method II 1 15 X 4 1 15 3

Simplify the complex rational expression using either Method I or Method I N CO 8 1 64 8 N CO 64 N 1 Z 11

Simplify the complex rational expression using either Method I or Method II N 2 4 t t 2 1 2 4 2 t 4 t t 2 1

Simplify the complex rational expression using Method I or Method II X 4 X 4 X 10 X 2 1 2 Y 2 x 4 x 10 1 X 4 X 2 2 x 2

Simplify the following complex rational expression using either Method I or Method II 1 24 Z 3 1 24 C 6

What is the complex conjugate for the complex number 3 2i Type your answer in a bi form without spaces

Find the quotient of the complex numbers 345 Type your answer in a bi form without spaces Hint You will have fractions in your final answer Check with the teacher if you are unsure hc

Simplify the complex rational expression using either Method I or Method II 7 X 49 X 7 3 1 1 X

Graph the equation 2 3 2 y x 7 x 1 9 8 7 6 5 4 3 2 84 7 6 5 3 2 3 x 1 2 3 4 5 6 7 8 9

Simplify the complex rational expression 5a a 4 5 5 2 3a 4 2a 5a a 4 3a 4 11 Simplify your answer Type your answer in factored f

Click here to watch the video Simplify the expression 2 2 Z z 2 N N 11 Z 2 2 Z z 2 12 using Method II

Simplify the complex rational expression using either Method I or Method II 2x 3 x 4 X 4 X 6 2 x x 34 2x 3 X 4 2 x x 34 T x 4 X 6 11

Simplify the complex rational expression using either Method I or Method II 2 r r 9 2 2 81 2 r 81 r r 9 1 r 9

Simplify using Method II x 4 X 4 x 6 x 2 4x 2 II x 4 x 4 x 6 x 2 4x 2 x 2 1

Simplify the complex rational expression using Method II x 3 x 9 X 5 2 1 x 3 x 9 1 X X 5 2 X 9

Simplify the complex rational expression x 3 x 8 X 4 X 2 x 38 x 3 x 8 X 4 x 2 x 38 11 Type your answer in factored form

following question Click here to watch the video Simplify the expression using Method I d 2 2 d DIN d 2 4

Use the given zero to find the remaining zeros of the function h x 3x4 8x 9x 32x 12 zero 2i The remaining zeros of h are

MODELING REAL LIFE The total cost in dollars to bowln games is represented by C n 4 5n 2 5 The shoe rental price increases 0 50 The new total cost is represented by T n C n 0 5 Describe the transformation from the graph of C to the graph of T Bowling PER 4 50 GAME Shoe Rentals 2 50

2 3 4 5 6 7 T8 9 10 11 12 13 V IV 200m in VI A B C D WATCH THE LETTER UNCER EACH SYMBOL WITH THE CONNECT WORDING GREATER THAN LESS THAN AT MOST AT LEAST NO MORE THAN NO LESS THAN 14 15 16

2 Students in a ninth grade class measured their heights h in centimeters The height of the shortest student 4 was 155 cm and the height of the tallest student was 190 cm Which inequality represents the range of heights 1kc6 114 439 koks20 A 1500

5 3147 b 0 5 7 3 8 10 b 8 101 a b

Perform the indicated operation 2 356 c6 1066

Perform the indicated operation 7w 6 w 5w 6 w w 2

Perform the indicated operation 7 5 p p 42 p 10p 21

5m 0m 21 m 5m 24 Reduce your answer to lowest terms Subtract 4m 9m 3 m 5m 24

Perform the indicated operation d

Perform the indicated operation 8 2 2c c 6 2c 11c 12

Perform the indicated operation 12a 132 a 5a 14 12 2 a

Perform the indicated operation 12 6p 7 11 P 1

Perform the indicated 7d d 1 10 d 4 operation 4d 10 d 3d 4

5p 5p 6 21p 18 5p 6 Reduce your answer to lowest terms Add

Perform the indicated operation y 7 Y y 1 y 7

Perform the indicated operation 10 11t 33 8 t 7t 12

Subtract 4r 2r 5 25 2r 5 Reduce your answer to lowest terms

Add 44a 8a 9 4a 45 9 8a Reduce your answer to lowest term

Add 7r t Reduce your answer to lowest term 7r t

What is the effect on the graph of the parent function f z z when f z is replaced with f z Shifts line 3 units up Shifts line 3 units down Increases the slope of the line by a factor of 1 3 O Decreases the slope of the line by a factor of 1 3

Draw the complete shearing force diagram for the cantilever beam shown below 4m 4 kN m 2 m

Figure 4 21 suggests one way to prove that 2ab a b a b 2 ab E A C Figure 4 21 Prove these inequalities assuming that AC a and CBR h B