Quadratic equations Questions and Answers

Sketch two triangles ADEF GHF If DE 36 when GH 30 and EF 18 what is the length of side of HF Remember to draw two triangles and label their vertices correctly with corresponding parts labeled

1 Jeff paid 14 for his music download It was originally priced at 30 What percent discount did he receive O 45 37 O 54 63 O 46 67 O 53 33

20 Solve for x O 11 1 5 O 0 10 9 17 1211212 x 5 8

15 Two similar figures have areas of 1 in and 16 in What is the ratio of two corresponding sides 16 If there are 7 girls in a class of 25 what is the ratio of boys in the class O 172 50 25 O 7 O 7 18

O 11 3 2 05 0 O O 0 17 12 O cannot be done

25 Given two circles whose radii are 63 and 28 the ratio of their circumferences is O 9 to 4 81 to 16 O 18 to 16 81 to 8

26 If 3 tablespoons of sugar are needed for 5 dozen cookies how many tablespoons of sugar are needed for 2 dozen State your answer as a mixed fraction tablespoons

35 If triangle ABC is similar to triangle XYZ and side AB 16 when side XY 18 what is the length of side BC when side YZ 27 10 3 22 15 2 24

Graph this linear equation using the quick method and identify the slope and y intercept y x 5

Find the equation of a line given the slope m and passing through the point 4 10 y 7

15 Choose the correct slope and y intercept using the equation of a line y x 7 O slope y intercept 7 slope 7 y intercept O slope 7 y intercept O slope y intercept 7

6 Change the equation 3y form in the slope intercept O y x T 3 1 3 O y x 1 O y 1 x 1 1 2 Oy x into an equivalent equation writte

10 Given the equation of a line y the y intercept is b x

2 Write and solve the equation based on the following X X X I 1 1 1

4 Suppose you went on vacation but forgot your smart phone charging cable Your phone battery died after two full days 48 hours of use This situation is modeled by the equation f h 48 h where h is the hours of cell phone use and f h is the percentage of battery life left What is the upper bound of the parameter h What is the lower bound of the parameter h hrs hrs

Linear relations are not functions when they appear graphically as O horizontal lines O vertical lines linear relations are always functions

2 When a graphed line is vertical it indicates that the relation O is not a function and begins with y O is a function and begins with y O is a function and begins with x O is not a function and begins with x

Observe the following graph y L f K 6 is the x intercept of line L what is the slope an y intercept of line L slope y intercept 2 12 2 12 8 12 22

9 Find y when x 18 if y varies directly as x and y 33 when x 66 Round your answer to the nearest thousandth y

In January each of 60 people purchased a 500 washing machine In February 5 fewer customers purchased the same washing machine that had increased in price by 20 What was the change in sales from January to February Select the correct choice below and fill in the answer box within your choice A The change in sales from January to February is a B There is no change in the sales from January to February OC The change in sales from January to February is a decrease increase

6 How many real roots does the following equation have y x 3x 18 number of real roots

10 The police department uses a formula to determine the speed at which a car was going when the driver applied the brakes by measuring the distance of the skid marks The equation d 0 0020r r models the distance d in feet traveled after applying the brakes in a car moving r miles per hour r is the speed of the car If the distance the car traveled after applying the brakes equals 42 feet what what was the speed of the car Round your answer to the nearest hundredth miles per hour Answer mph

9 A stone is launched upward with an initial speed of 800 feet per second It is given that h 14t2 840t his the height of the stone at any given time Use your graphing calculator to find how many seconds before the stone hits the ground Or factor and solve for t algebraically O t 0 seconds O t 14 seconds Ot 9 seconds O t 60 seconds O t 4 seconds

11 The police department uses a formula to determine the speed at which a car was going when the driver applied the brakes by measuring the distance of the skid marks The equation d 0 03r2 r models the distance d in feet traveled after applying the brakes in a car moving r miles per hour r is the speed of the car Factor the equation Od r 0 03r 1 O d 0 03r r 1 Od r r 1 Od 0 03r 0 03r 1 O This equation is already completely factored

12 Factor the following g 2g 99 answer

14 Solve the following for c Remember to look for common factors first 32c 20c 0 More than one answer may be correct select all correct answers 0 4 00 0 1 0 1 08 0 C does not have any solutions

3 The square of a number is 26 more than 2 times the number Identify the correct equation for this situation O 26x 2 0 O 2x 26 0 Ox 2x 26 0 Ox 26x 2 0 O None of these equations matches the question

15 Identify all real roots for the following equation More than one answer may be correct check all that apply y x 4x 32 c 2 x 5 x 10 x 4 x 8 0x 7 There are no real roots

13 The width of a flag is 5 inches more than its length Write an equation for the area of the rectangle in terms of length 1 Area square inches

8 The police department uses a formula to determine the speed at which a car was going when the driver applied the brakes by measuring the distance of the skid marks The equation d 0 03r r models the distance d in feet traveled after applying the brakes in a car moving r miles per hour r is the speed of the car Factor the equation answer d

7 Solve the polynomial by factoring Identify the zeros roots of the equation More than one answer may be correct 6u 49u 45 01 9 05 0 1 0 1 1

Maximize z 3x 3y 2x 5y 4x 4y Subject to Maximum is X X Y IV IV 30 36 0 0

1 A football is catapulted upward with an initial speed of 800 feet per second It is given that h 16t 800t his the height of the football at any given time What will you set h equal to in the equation to find how many seconds it takes for the football to hit the ground h feet

5 Factor completely 49x 4y

15 Factor x 5x 24 to its simplest factors O x 3 x 10 O x 3 x 8 O x 1 x 8 O x 1 x 10

Simplify the common factors out of the following expression 14a 12a 12a answer

9 Factor 16 132 to its simplest terms Identify all of the factors of this polynomial More than one answer may be correct select all that apply 0 132 x 22 x x 16 x 6 x 25

11 Factor completely 12x 6x 21x answer

13 Solve 3x 8x 3 5x 6 0 Identify all the correct solutions roots More than one answer may be correct select all that apply x 5 Ox 1 x 4 1 x 7 1x 0 0x 4

14 Factor 12x 108 to its simplest terms Identify all of the factors of this polynomial More 12x 108 factors to

D Simplify the common factors out of the following expression 6x 2 12x 66x answer

4 Factor x 4x 45 to its simplest factors x 4x 45 factors to

3 Solve 10x 1 x 5 0 Identify all the correct solutions roots More than one answer may be correct select all that apply x 4 x 2 x 5 0 x 10 x 0 x 1 0x 1 2

1 Factor 49x 4 to its simplest factors O2 2 O 7 7x 1 O 7x 2 7x 2 O 7x 2 7x 2

A manufacturer of light emitting diode LED lights has tested its lights and found that the percent chance P that a light will fail after t hrs of use can be approximated by the follow t 40 000 00 12 the P 100 a What is the percent chance that one of the company s LED lights will fail after 30 000 hrs Round to the nearest tenth b In how many hours will the chance of an LED light failing reach 40 Round to the nearest thousand hr

II Find the area of the ff shapes 10 pts each 1 4 cm P 4 cm 2 12 cm 10 cm 8 cm

Binary expression tree emphasizing two main properties in which their internal and leaf 100 y nodes is correspond to operator and operand Express x y 40 using binary expression tree

dentify the exponential function whose graph is shown below Provide your answer below 2 4 6 8 10 12 14 16 18 2 3

The factory sales of cell phones from 2000 to 2005 can be modeled by the function S 116 2 0 018t where t 0 in 2000 and S represents the sales in millions of dollars A Assuming that the sales of cell phones continued to increase at the same rate find the factory sales of cell phones in 2021 to the nearest million Explain steps and your reasoning What does your answer mean in terms of the problem B According to the function when would the sales reach 200 million Explain your steps and reasoning What does your answer mean in terms of the problem

Mari Carmen needs to buy shredded wood for her children s playground The shredded wood costs 15 per ton and there is a delivery cost of 22 with each order Write an algebraic equation for the cost C of the shredded wood as a function of the number of tons t purchased C