Quadratic equations Questions and Answers

O 17 O 1 O 17 01 20 If 8x 11 12 Round your answer to the nearest thousandth X 21 Complete the arithmetic problem 1 32

8 Brendan pays 45 per year to join the gym He pays 14 each time he rents a racquet and ball to play on the court Calculate the yearly cost of going 26 times O 364 O 409 O 417

14 If 6x O O x 6 O x X 0 x 5 0 O O O 2h O Ah O 63 h 2 A 10 00 2 A h 5 15 Solve for b A bh O 2h A 6 6 x

27 Choose the equation which best fits the following situation A number of friends f want to share a 11 appetizer How much does each friend need to pay C O C 11f C 4 1 1 OC 11 f

3 Which of the following is a reasonable domain for how many people can safely travel in a compact car D 1 number of people 5 O D 1 miles traveled 300 O D 1 gallons of gas 10 D 0 number of people 8 OD 0 miles traveled 300

8 The point 0 6 is found in quadrant III O I OI O none of these 9 Which direction is negative on the vertical axis Right of the origin O Left of the origin O Up from the origin O Down from the origin

4 Two ordered pairs that are solutions of the equation 2y 2x 14 are O 8 O 8 15 3 10 1 2 4 O 8 1 3 10 O 8 15 2 9

10 The ordered pair that is a solution of the equation y x 6 is O 3 3 O 9 O 3 9 6 6 9 3

X X x 30 Show how to solve for x using your algebra rectangles 3x 4 8 Solve the following algebraically your answer may be a integer a fraction or a decimal 28 11 126

8 O 10 O 8 14 Solve for y in the equation O y 11 12 X 132 X O y O y 11220 O impossible to do 15 Solve for x 26 11 4x 12y T 11

1 Solve the following algebraically your answer may b integer a fraction or a decimal 3y 6 13 Y 2 Solve for x 4 2x 5 X 3 Given 6 6y 54 y O 10 08 O 10

Solve the following algebraically your answer may be an integer a fraction or a decimal 0 24 26 b

33 Tell whether the given lengths can be the sides of a right triangle a 15 b 8 c 17 O yes O no

What is the scale factor if a 6 inch by 6 inch photogra enlarged to a poster that is 4 ft by 4 ft 4 ft 48 in 08 O 1 1 5 1 5 01 10

Consider the following quadratic function a Determine the coordinates of the vertex and classify it as a minimum point or a maximum point Vertex at Choose from the following The vertex is a minimum point The vertex is a maximum point b Determine the y intercept 800 y intercept at 0 f x 3x 6x BB c Determine the x intercepts Write in increasing order BBD x intercepts at B 0 and at d Choose the correct graph for f x 3x 6x using the above information BED 0

2 3 points each Given the functions f x 72 1 and g x x 7 b Evaluate f g 3

Complete the sentence below If 7 5i is a zero of a polynomial function of degree 5 with real coefficients then so is If 7 5i is a zero of a polynomial function of degree 5 with real coefficients then so is

Find the sum and product of the complex numbers 4 5i and 4 7i The sum is Type your answer in the form a hi

20 Solve the linear systems of equations using the elimination or addition multiplication method Write none in both blanks if there is no solution 11x 8y 42 3x 5y 33 x y

2 Use Substitution to solve format your answers as fractions if necessary 40y 5x 15 x 2y 3 X V

1 Mrs Lee bought some stock value at 107 75 a share and sold it for 135 25 What was the percent of profit Round to the nearest hundredth of a percent M

Determine the domain of the function graphed below O 4 3 2 1 0 1 O 3 x 1 YA 2

into two triangles by slicing diagonally from one corner to the opposite corner There are three different types of bread white wheat and multigrain and the shape and size for each type of bread is slightly different a The white bread is made in square slices with side length of approximately 5 inches How long of a cut is made along the diagonal to create white bread sandwiches You may need to give an approximate answer you can choose how far to round Explain how you know this is the length of cut b The wheat bread is made in rectangular slices with side lengths of approximately 4 and 6 inches How long of a cut is made along the diagonal to create wheat bread sandwiches Again you may need to approximate your answer Explain how you know this is the length of cut c The multigrain bread is special and is only used for hero sandwiches The dimensions for this bread are 5 inches by 12 inches Without using a calculator find the length of the diagonal cut for these multigrain subway sandwiches

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

What is the scale factor if a 16 by 14 photograph is enlarged to a poster that is 8 ft by 7 ft

35 How many ml of 60 percent acid should be added to pure acid to make 50 ml of 85 percent acid O 18 75 ml O 9 38 ml 1 88 ml

36 Simplify completely 2 3 7 2 O 2 3 7 O 3 7 O 2 3 7 2 37 Evaluate 35 7

8 I asked fourteen people how many books they read in one year Here the results 7 11 21 25 3 7 25 25 3 3 25 11 11 25 Find the mode for this data The mode is books

b There is a sales tax of 6 5 and a processing fee of 7 for a group of tickets Write the total cost 7 a for a dollars spent on tickets c Evaluate TC x d Find TC 8 and interpret its meaning in the context of this problem Part 1 of 4 a Write a function that represents the cost C x in S for x tickets to Riverdance C x 70x Part 1 4 Part 2 of 4 b There is a sales tax of 6 5 and a processing fee of 7 for a group of tickets Write the total cost T a for a dollars spent on tickets T a

3 Sketch a graph of the system of inequalities on a sheet of paper y x 6 y 2x 3 Determine if the following point satisfies the system 10 0 O yes O no 4 Which of the following is a reasonable domain for how many people can safely travel in a compact car O D 1 gallons of gas 10 O D 0 number of people 8 O D 1 miles traveled 300 O D 0 miles traveled 300

Given f x 7x 4 a Find f x h and simplify b Find f x h f x h Part 1 of 2 a f x h 7x 7h 4 Part 1 2 Part 2 of 2 and simplify f x h f x

17 The ordered pair that is a solution of the equation y 6x 5 is O 2 17 O 5 37 O 3 20 4 34

1 Solve the following system of equations method 4x y 2 4x 2y 6 Ox 5 6 y 3 0 x 1 y O x 0 y 1 1 2 2016

Find two functions f and g such that h x fog x h x 7x 4 Select a function for f x and a function for g x Of x x Of x 7x g x 7x 4 f x x g x 7x Of x 7x 4 g x x 4 Of x x Og x x

f x 3x 4 and g x x Given a Find fog x b Find gof x c Is fog x gof x Part 0 3 Part 1 of 3 a fog x A

Refer to functions s and f Find the indicated function and write the domain in interval notation Write your answer as a single fraction x 2 2 x 16 Part 0 2 Part 1 of 2 s t x 10 x 4 2 x n1

First find f g f g fg and f g Then determine the domain for each function f x 3x 2 14x 16 g x x 2

Determine the domain of the graph shown below 9TY X 4 8876 7 6 5 N WA4 44 3 2 0 9 8 7 6 5 4 3 2 11 2 3 4 56 6 2 3 4 5 6 7 8 9 X 4 X

f x 31 and g x 3x 1 4 Find f g x 31x 31x 28 2 16x 8x1 10x7 12x 13

mathematically write nineteen decreased by a 5 The best way to number a is one is

2 A garden s length is 5 times its width It takes 72 meters of fence to enclose the garden Which equation best represents the perimeter of the garden in one variable O 72 10w O 72 2 5w 2w O 72 21 2w

7 Rewrite the following word phrase as a variable expression One ninth a number b less than 5 09 10 08 1 10 O 0 5 15 1 160 1

13 The best way to mathematically write the phrase three times the number n is

10 The best way to mathematically write the phrase eight times the number is O n8 O 8n 08 n

6 Evaluate 10 c 5 2d 5 when c 3 and d 2

3 To which number set s does the following number belong 12 Multiple answers may be correct Mark all correct answers rational numbers real numbers counting or natural numbers irrational numbers whole numbers integers No number set describes this number

If 1500 are deposited into an account with a 7 interest rate compounded quarterly what is the balance after 15 years F P 1 5 nt Now enter r or the interest rate as a decimal r

There are three convenience stores in Gambier This week Store I sold 80 loaves of bread 40 quarts of milk 12 jars of peanut butter and 108 pounds of cold cuts Store Il sold 102 loaves of bread 8 quarts of milk 21 jars of peanut butter and 147 pounds of cold cuts Store Ill sold 50 loaves of bread 30 quarts of milk no peanut butter and 70 pounds of cold cuts Complete parts a through c bell a Use a 3x4 matrix to express the sales information for the three stores Select the correct answer below 80 40 12 108 OA 102 89 21 147 50 30 0 70 40 12 80 108 OC 102 21 147 69 50 0 30 70 O m B OD 40 12 108 80 21 102 147 69 70 0 50 30 80 12 108 40 102 69 147 21 50 0 70 30

values 3 Graph y 3 1 using the following table of values x 3 2 1 0 1 2 p 3 1 State the following 0 mark each a Shape of the graph b Equation of the asymptote c x intercept s d y intercept s e Domain type of function

Which equation best represents the following function y 3210 2 3 4 5 2 3 Oy 3x 5 Oy 5x 3 Oy 3 5 Oy 3x 5 4 5 X