Quadratic equations Questions and Answers

Question 1 7 Write the following expression in condensed form 1 log 8 log x 2 O log O log 8 X 2 8 log 8x log 8 x

8x x 2 x 49

triangular shaped area that forms a right triangle The longer side of the triangle is eleven feet less than twice the shorter side The hypotenuse is three feet less than twice the shorter side How many feet of fencing will Jim need to complete the fence O O 96 feet 126 feet 53 feet none of these choices 45 feet d 12 feet 28 feet

A fireworks show is concerned that the fireworks will explode inside some clouds that are hovering above the area The clouds are hovering at 700 feet If the fireworks are launched from a platform 35 feet above the ground at a speed of 215 feet per second how long does it take to get to the clouds on its way up O 4 8 seconds 8 6 seconds 14 5 seconds 3 2 seconds none of these choices 7 3 seconds

A ball is launched from 7 meters above the ground into the air at a rate of 24 meters per second How high can you expect this ball to be after 2 5 seconds O O 35 4 meters 2 7 seconds 35 4 feet 41 2 meters 5 7 meters 807 4 feet 1 none of these choices

Brittany s new lunch box is only 5 centimeters in height so it fits in her backpack along with all her books The lunch box has 3 sections for different types of food The length and width of the lunch box are 22 centimeters and 14 centimeters What is the volume of Brittany s new lunch box

POSSIBLE POINTS Solve the equation for x Use the properties of exponents and logarithms as needed to rewrite the equation Round to 2 decimals when necessary logs 44 logs 72 PO Separate answers with a comma Extraneous Solution s Type answer or type none if there are no extraneous solutions

Solve the equation for x Use the properties of exponents and logarithms as needed to rewrite the equation Round to 2 decimals when necessary 16 256 1

Homework The equation of a line is y 5x 20 1 What is the value of y when x 450 Show all your work 2 Is the ordered pair 3 60 on the line y 5x 20 Show work

Solve the equation for x Write your answer both as an exact solution in log form and as an approximate solution rounded to 3 decimal places 3 12 R log a log b an b Approximate Solution POSSIBLE PO Exact Solution

Find the area of the polygon shown on the grid below HINT Break the figure into shapes you can find the area of Use your formula sheet O 10 square units O 15 square units O 21 square units O 27 square units

Which of the following RECTANGLES has the same area as the triangle given below 13 cm 12 cm 21 cm O an 11cm by 13 cm rectangle O an 18 cm by 7 cm rectangle O a 12 cm by 8 cm rectangle 20 cm

Rico s dad is moving his company to a new office space He finds a potential new space but wants to know how many square meters of space he would have 10 mi How many square meters of office space would he have O 140 square meters O280 square meters O24 square meters 14 m O 70 square meters a

Michelle is trying to find the area of this triangle but is confused about which number represents the base and which number represents the height 13 cm Select 18 cm Which value represents the base and which value represents the height The base of the triangle is Select Select 13 cm 5 cm 5 cm 18 cm and the height of the triangle is

Find the solution to the system of equations below y 2 5x y x 6

Learning Target I can solve a system of equations by graphing and finding the intersection p of my lines

4 3 x y 4 3x y 11

cribe a relationship between the angle 0 the hypotenuse makes with the x axis in each triangle and the angle of rotation Use the diagram to help you think about the question The dotted arc shows the angle of rotation 76 relationship between that the hypoter x axis and the angle Makes with the angle Rotation

Write the piecewise equation that describes each graph 5 2 0 2 4 N 2 4 6 8 X

Consider the following histogram 12 10 8 Frequency 2 3 6 9 12 15 18 21 24 Data Value Which frequency table best represents the same information as th histogram

22 1 point Condense the following expression In 13 3 In x 11 In w 12 In w 8 In x 13 in 12 5 O In in 13 W 25 13 In 12 in 113 135

16 1 point Mr Mitchell was interested in the effects of music on student performance At the bottom of his exam he asked students to circle their favorite type of music rock country or hip hop He then computed the averages for the students who liked each type of music and compared the results DA Is this an experiment or an observational study Experiment Observational Study

Evaluate 9 8 S when S 4

If 315 is invested at an interest rate of 3 per year and is compounded continuously how much will the investment be worth in 9 years Use the continuous compound interest formula A Pet 206 23 412 64

Solve 4x 5 6 for x using the change of base formula log y 4 226 3 708 log y log b

Simplify 7 log3 k 6 log3 m 9 log3 n 04 log3 O4 log3 k m n Olog3 km n log3 km n 42km

Solve 2 log x log 64 x 1 8 x 8 x 32 x 128

Find the measure of the indicated angle Ro 44 29 31 33 49 35 33 X 9

Solve each system x y by substitution 5 y 3x 1 y 4x 1 6 y x 2 y 3x 8

X und to the nearest tenth degree 30 32 33 34 23 28 143 10 31

7 y 2x 10 y 4x 8 8 y x 4 y 3x 4

Find the missing side Round to the nearest tenth 23 25 27 42 15 17 18 53 51 X X X 24 26 2

est tenth 24 26 28 19 44 118 X 18 49 X 17 X X

11 An object is launched off a 255 foot cliff If the object was launched at 165 feet per second determine maximum height of the object ROUND YOUR ANSWER CORRECTLY TO THE NEAREST WHOLE FOOT no decimal Type a response

What is vertex the of the following 0 O O O x 2 x 6 O 2 16 2 6 0 12 2 6 O 3 2 16 none of these choices ch S

What value of c will complete the square x 3x c O O O O O none of these choices 9 1 5 4 5 2 25 S

6 Identify the vertex 0 5x 10x 14 O O 10 5 9 2 9 1 19 0 14 none of these choices 1 1

Use the information to write the vertex form of the parabola f x 2x 20x 5 f x 2 x 5 20 f x 2 x 10 5 none of these choices f x 2 x 20 5 f x 2 x 5 45 S

1 Solve the equation 3x 5 17 a x 6 C x 4 b x 10 d x 2

1 Solve the equation 3x 5 17 a x 6 c x 4 b x 1 d x 2

a The graph of the linear function y 2x 4 is a b The graph of the linear function y 2x 4 is a horizontal line parabola c The graph of the linear function y 2x 4 is a d The graph of the linear function y 2x 4 is a cubic function straight line with a y intercept at 0 4 and a slope of 2

Solve the equation 4y 7 5y 3 a y 3 c y 15 b y 0 d y 10

0 Find the slope of the line passing through the points 2 5 and 4 9 a The slope of the line passing through the points 2 5 and 4 9 is 9 5 4 2 4 2 2 c The slope of the line passing through the points 2 5 and 4 9 is 9 4 b The slope of the line passing through the points 2 5 and 4 9 is 5 2 d The slope of the line passing through the points 2 5 and 4 9 is 2 4

9 Solve the equation 2 3x 4 10 a x 3 c x 2 b x 5 d x 7

Instructions For the following quadratic functions write the function in factored form and then find the a intercepts axis of symmetry vertex and domain and range y r 4x 3 Factored Form y x z Intercepts Axis of Symmetry x Vertex Domain 1 x and Type least to greatest Type least to greatest

24x 36 2 15x y 12x y 9xy 3 x 11x 24 4 3x 8x 5 5 9x 6x 1 1

14 A ball is launched from 6 meters above the ground into the air at a rate of 17 meters per second How high can you expect this ball to be after 3 seconds O O O O 12 9 87 1 3 3 8 10 5 1 20 7

What is vertex the of the following 0 O O O O 2 x 9 x 4 O 14 2 25 2 9 169 2 O 5 169 2 2 2 25 14 4 9 4 9

5 Sketch the parabola represented by the following equation Graph MUST CONTAIN 3 points and the parabola the vertex and x intercepts if there are any if no x intercepts then ANY two points All features must be clear and all features must be present to get credit Y 2 6x 12x

D An object is launched off a 75 foot cliff If the object was launched at 125 feet per second determine how long it will take for the object to hit the ground ROUND YOUR ANSWER CORRECTLY TO THE NEAREST TENTH Type a response