Quadratic equations Questions and Answers

How can decomposing be used to find the area of the following polygon O Area of a trapezoid Are of a parallo

What is the initial amount in the following equation f x 1 1 6 O 1 3 6 f x

What is the growth decay factor in the following eq f x 1 1 2 6 3 O 1 3 O 6 O x f x

Which inequality matches the gr 2 O y x 3 2 O None of these choices are correct Oy x 3 2 O y x 3 2 Oy x 2 3

What is the variable in the following equation f x 4 2 O f x OC

Sketch a graph of 4x y 4 7 6 5 4 Clear All 3 7 6 5 4 3 2 1 1 2 3 4 5 6 7 C 2 1 1 2 3 4 5 6 7

Question 64 Points 1 Jordan rides his bicycle around a circular track Which of the following shows the distance covered by Jordan Diameter Radius O Circumference

Shamrock High School is having a fundraising dinner for the band To keep costs down you serve only 2 entrees One is Vegetarian Lasagna for 10 a plate and the other is Malibu Chicken for 12 a plate I 200 people are coming and you spend 2250 for the food how many of each type of meal will be served None of these choices are correct 125 vegetarian and 75 chicken O 75 vegetarian and 125 chicken 50 vegetarian and 150 chicken 100 vegetarian and 100 chicken

17 6pts Solve each equation for the variable a 20 1 07 12 1 26 b 3 4 52x 1 c loge 1 loge z 1 1

What is the rate as a percentage of the following e f x 4 2 O 20 O 100 O 50 O2

What would f x be if x 3 x 1 1 6 3 O 44 O 72 O 613 O 1 3

Which system matches the graph below 2 2 O None of these choices are correct Oy x 1 6 y x 1 O y x 6 y 2x 1 O y x 1 6 y x 1 O y x 4 y 2x 1

6 6pts A population is currently 7 000 and is increasing by 1 2 per day a Write an exponential model for the population b What would be the population in 10 days c When would the population increase to 10 000

Which system of equations has this solution 2 3 1 None of these choices are correct O x y 3z 2 2x 2y z 4 and x y 2z 4 O x y z 2 2x y z 6 and y 2z 5 O4x y 3z 4 3x y z 6 and x 3y 2z 3 O2x 3y 4z 1 3y 3z 6 and x 3z

Which system of inequalities matches the graph O y x 1 y x 1 3 y x 1 O ys x 1 3 O None of the choices are correct O O y x 1 yz x 1 3 y x 1 ys x 1 3

Solve each equation Give your answer In simplest radical to 2 2x 2 66 As 2 16 x 10x 1 4

10 Solve the rational equation below State any restrictions and to check solutions that are obtained to see if they satisfy the equation 9 7 22 x x 2

The equation of the line below is O 2 3 2 1 2 3 y x 1 Oy 2x 1 2 None of these choices are correct Oy 2x 1 y x 1 4

What would f x be if x 6 x 4 2 O 64 128 28 256

Which inequality matches the graph below 4 3 2 O O O ye x 11 O yz x 1 O yelx 1 1 2 2 yz x 1 None of these choices are correct

Which equation matches the following graphi 2 O y x 21 5 2 None of these choices are correct Oy x 21 5 O y x 21 5

The equation for the shaded region graphed below is 2 3 2 Oys x 2 O None of these choices are correct Oy x 2 O yz x 2 O y x 2 6

orse Posttest Question 66 Points 2 The length of a rectangular field is 180 m and its width is 120 m Lee walks around the field 5 times Find the distance she covers O 3 000 m O4 510 m O4 000 m

Find the complex roots of x 4x 9 0 O 2 2 5 O 2 5 O 1 5

3 4pts For the function h z 2x x 3 a Find its axis of symmetry b Find the coordinates of its vertex c Find the domain and range of the function

When the graph of y x is translated to the left three units and up two units what is the new equation O None of these choices are correct Oy x 31 2 Oy x 31 2 Oy x 31 2 Oy x 31 2

Sketch the graph of 9 7 6 5 4 3 2 1 7 6 5 4 3 2 1 1 2 3 4 5 6 y 1 4 1 2 3 4 5 6 7

11 6pts Write an equation for a rational function with the given characteristics 5 x intercepts at 2 0 and 1 0 y intercept a Vertical asymptotes at x 5 and x at 0 4 h Vortical asymptote at x 3 double zero at x 1 y intercept at 0 4

Question 71 Points 1 Combining two or more polygons to form a regular or an irregular polygon is called convex polygon O composing polygon O decomposing polygon

16 4pts Use logarithm properties to expand each expression Z a log 2 1 1 23

Find the vertex of the function y 2x 6x 1 O 2 1 2 O 2 11 2 O 2 11 2

Solve each equation by talking Square roots the position for the entire Approximate your solutions to the nearest tenth when nelesson 8 x 1 3 4 21 9 2 x y 4 32 12 3 53 100 X 2 6

9 5pts If 5 000 dollars is invested in a bank account at an interest rate of 6 per cent E find the amount in the bank after 3 years if interest is compounded a annually b quarterly c monthly

7 4pts Find a formula for an exponential function passing through a 2 6 3 1 barterly b 25 6 0

f the width of the ground is 60 m and the area is 5 400 sq m find its length 90 m O 100 m O 80 m Length Width 60 m

4 6pts Let g y y 2 Find and simplify g y k g y k

Two domestic courier services charge as per the functions y 4x 1 and y 3x 2 where x represents the weight of the parcel in pounds and y represents the total cost of the parcel For what weight is the total cost the same in both services O1 pound O3 pounds O2 pounds

9 Solve the rational equation below 2 10 12 1 12 10 1 20 24 A x 3 B x 3 2 C X D x 5 2

Solve each equation by completing 13 8r 20 0 the square 14 p 16 P 14 7

Questi Find the circumference of the circle from the given diagram 12 cm 8 cm 20 12 cm 23 12 cm 25 12 cm

A B 2x 1 C D 3 2 2x x 5x 1 x 1 3x 3x 2x 1 3x 2 x 1 2x 1 x 1 3x 2 x 1 2x 1 2 x 1

Find the value that completes the square and then rewrite a a Perfect Square 11 x 30x 12 x 30 x

If ax b 3 and a 0 then x

Identify the function from the given graph Y 2 O x 2 O x 2 10 8 6 4 2 0 2 4 6 8 10 2

65 Name the degree D and leading coefficient 3 LC for y x 5x 8x 9

1 Use f x x 4x 12 for the following a Does the graph of our function open upward or downward 5 pts b Identify the coordinates for the vertex 5 pts c Identify the x intercepts 5 pts d Identify the y intercept 5 pts

Write the equation of the hyperbola centered at 9 3 The length of the vertical transverse axis is 6 and the length of the conjugate axis is 8

Maggie and Tanya went to a fruit store Maggie bought 10 oranges and 5 apples for 4 Tanya bought 9 oranges and 3 apples for 3 What is the cost of an orange and an apple O Cost of an orange 0 24 cost of an apple 0 50 O Cost of an orange 0 20 cost of an apple 0 40 O Cost of an orange 0 10 cost of an apple 0 40

Consider a circle x y 8 and a line y x 2 where would they intersect

1 point each Find the following missing lengths or missing angle measures Round your answers to the nearest hundredths 2 decimal places NO CREDIT WITHOUT STEP BY STEP WORK Calculator Guide To find sin 35 type sin 35 To find arccos 0 8765 type 2nd cos 0 8765 8 Find the length of x 9 Find the length of x 10 Find the angle measure 11 Find the angle measure 38 17 X 52 15 38 27 5 4