High School Algebra Questions

2x3 x x 1 5 2 Match the Graphs to Their Equations You ll have 4 pairs of cards f x 2x x x 1 f x 2x x x 1 f x 2x x2 x 1

blem 2 Complete the missing key features and graph the polynomial TT VE S Function in factored form Function in standard form End Behavior As x co f x TT VE 10 As xo f x 10 5 0 Roots include multiplicity 2 1 multiplicity 2 Value of Leading Coefficient 2 Degree 3

EVEN degree polynomials Match the Equations and Statements You ll have 2 stacks of 3 cards f x 6x x 10x ODD degree polynomials f x 3x 6x 7x2 ends of the on face the same on The ends of the function face opposite directions

roblem 1 Complete the missing key features and graph the polynomial TT VE X Function f x 2 x 1 x 3 End Behavior As x co f x As xco f x Roots include multiplicity Value of Leading Coefficient Domain TT VE 10 10 0

AL Function VE End Behavior As x co f x Asx f x Roots include multiplicity Value of Leading Coefficient 1 Domain Range Other f 0 16 Missing key features of the polynomial 40 40 y 20 20 5 0 5

4 As the function goes the right as x goes to infinity the function goes to the function goes 2 4 2 0 2 4 2 up to infinity down to negative infinity

f x 2x 6x 5x 1 f x 2x 6x 5x 3 x3 2x 1 Match the Graphs to Their Equations You ll have 4 pairs of cards f x x4 5x 5

4 4 2 0 2 4 2 As the function goes the left as x goes to negative infinity the function goes the function goes to up to infinity down to negative infinity

Find the value of n such that each expression is a perfect square trinomial 1 x 14x n 3 x 4x n 2 2 x 2x n 4 x 2x n Solve each equation by completing the square If necessary round to the nearest hundredth 5 x 4x 5 7 x 6x 10 9 x 3x 18 I 6 x x 2 0 8 x 4x 4 0 10 x 8x 4 0

7 Evaluate at x 4 g x 53 1 3e 4x none of these 8 12 3 34 1 6 63 11

6 Evaluate 2e 11 O 18 05 O O 625 O 2 2 2216

A radioactive isotope decays exponentially If the half life is 4 2 thousand years and the current mass is 1625 ounces what will the mass be 13 thousand years from now 0256 ounces 652 23 ounces 219 39 ounces 66 896 ounces none of these

Make a table of values for the function f x 3 x 1 X y Select V Select Select Select Select Select V

In which 2 boxes would be the value of 140 30 and 125 be placed There should be two boxes checked 1 in the top row and 1 in the bottom row 33x 1 5 25 2 2z

1 You open a saving account by depositing 11 250 into an account earning 4 75 If this account is compounded quarterly how much would you have in the account after 35 years Type a response

Evaluate the following exponential expression Round if needed to 2 decimal places 11 17 Type a response

2 Which of the answer choices below makes both equations in the system tru a 3 1 b 0 2 c 1 2 d 2 4 x y 2 3x 4y 5 3x 4y C

What is the result of adding these two equations 2x 7y 4 2x 8y 2

What is the result of subtracting the second equation from the first 4x 2y 2 x 2y 9 TE

1 What is the solution to the syst equations below 3x y 2 2x 2y 12 A 1 5 B 6 0 C 2 4 D 3 3

3 Select the solution to the system of equations shown below a 1 9 b 3 1 c 7 4 d 3 1 2x y 7 3x 4y 5

6 Challenge what is the value for x in the system of equations below 3y 2x 8 4x 2y 16 A 1 B 2 C 3 D 4

2 What is the solution to the system of equations below y 4x 5 3y 2x 5 A 2 3 B 2 4 C 1 9 D 3 2

3 What is the solution to the system of equations below x y 4 2y x 4 A 6 2 B 4 0 C 2 2 D 8 4

4 Which ordered pair represents the intersection point of the system of equations shown below a 2 3 y 2x 4 3y 2x 20 b 6 8 c 2 8 d no solution

What is the result of adding these two equations 2x 3y 5 5x y 12

What is the result of subtracting the second equation from the first 2x 7y 10 3x 7y 2

freychuk 1 Graph y 2x 1 Use x values 2 1 0 3

Find the vertex and at least 2 more points using the table This is done by choosing input x values and finding the corresponding output f x values Show all your work in how you find each f x value 3 points x f x Graph the function plotting and labeling the three points listed in the T table 1 point 6 F x 2 1 5 4 3 2 1 2 3 State the domain and range of the function

and shown If a function continues use an arrow to show that If it does not use either the applicable open or closed circle to indicate the function stops at that point 1 Given the function f x x 2 3 Say what the parameters changes actually are a h and v and describe how they transform the given function in relation to the parent function 3 points a h Find at least 3 points using the table This is done by choosing input x values and finding the corresponding output f x values Show all your work in how you find each f x value 3 points X f x

What is the quadratic regression equation for the data set An error occurred while saving Please contact your administrator 4 56 6 O 0 0322 0 601z 2 84 4 0 45 O 0 0322 0 6012 0 255 2 0 0 O 0 03222 0 601 2 1 14 0 032 0 601 0 255 4 2 1 6 2 84

1 point 6 5 4 3 1 3 4 5 State the domain and range of the function Domain Range 1 point 1 point

The equation y 3 5x2 0 5x 65 models the height of a ball in inches for each bounce What is the best approximation for the height of the ball after the 3rd bounce O 7 in O 14 in 32 in 50 in

For which interval is the function constant O 2 6 0 0 2 0 00 0 O 6 00

Determine if the following sets of quadratics are equivalent Choose true or false x 10x 14 0 and 2x 10 156 x 10 68 and x 20x 32 x 6x 247 and x 3 256 x 5 65 and x 90 10x False

Simplify the rational expression 52 10 x 4 3x 6 x 4x 4 A B 15 x 2 2 5 x 2 2 3 x 2 C 5 x 2 3 x 2 D 15 x 2 x 2

5 A savings account balance is compounded continuously If the interest rate is 2 6 per year and the current balance is 1 685 00 what will the balance be 12 8 years from now 6 A savings account balance is compounded continuously If the interest rate is 3 7 per year and the current balance is 1 412 00 what will the balance be 10 5 years from now 7 A savings account balance is compounded continuously If the interest rate is 3 9 per year and the current balance is 1 553 00 what will the balance be 5 9 years from now 8 A savings account balance is compounded continuously If the interest rate is 2 2 per year and the current balance is 1 530 00 what will the balance be 7 5 years from now 9 A savings account balance is compounded continuously If the interest rate is 2 per year and the current balance is 1 919 00 what will the balance be 19 now years A 1 908 16 B 2 806 12 C 1 795 92 D 3 339 28 from 10 A savings account balance is compounded continuously If the interest rate is 4 per year and the current balance is 1 717 00 what will the balance be 13 years from now A 2 945 80 B 2 888 04 C 3 841 09 D 2 830 28

05 05 MC A table of data is given x f x 2 71 1 13 03 1 0 6 2 0 1 Which exponential model best represents the data Of x 3 1 2 x Of x 2 0 3 x Of x 2 3 x Of x 3 0 2

estion 1 Multiple Choice Worth 2 points 05 05 MC Which graph models the function f x 4 2 0 7 6 5 4 3 2 1 O 3 2 3 2 3 4 3 2 1 2 5 6 O 3 7 6 5 4 2 2 3 4 3 2 1 2 2 3 4 5 6 7

1 2 6 5 45 Which number is the location of the Coral Sea 02 03 06 7

Select the statement that can be represented by 10 dollars O Kyle found 10 on the sidewalk O Janet withdrew 10 from her checking account O Joe earned 10 mowing his neighbors yard O Sally deposited 10 into her savings account

Which of the following includes only counting numbers and O O rational numbers O integers O whole numbers

Which scenario can be represented by the value 15 OA roller coaster begins at 90 feet above ground level Then it descends 85 feet O Jim s bank charged him 15 for an overdraft fee Then he deposited 30 O An elevator went up 6 floors and down 9 floors On the first play the football team lost 10 yards On the second play the team lost 5 yards

Which of the following points represent positive numbers O a and c O a and b Ob and d a and d a C b 0

Find the missing measurements Round side lengths to the nearest tenth and angles to the nearest whole angle CB Angle C Angle B C 35 A 21 B Blank 1 Blank 2

Which graph represents the function on the interval 3 3 f z 2 3 0 3 24 4 3 2 1 2 1040 3 24 4 3 2 1 20 08 0 4 5 0 5 6 6 4 3 2 1 05 6 4 3 2 11 2 887 9

f x graph represents the function 6 5 4 3 2 8 7 6 5 4 3 2 11 2 3 4 5 6 2 3 4 5 6 6 5 4 3 2 8 7 6 5 4 3 2 1 1 2 3 4 5 6 234

What effect does replacing x with x 6 have on the graph for the function f x f x x 3 2 O The graph is shifted down 6 units O The graph is shifted right 6 units O The graph is shifted left 6 units O The graph is shifted up 6 units

What are the coordinates of the hole in the graph of the function f x z 3z 28 f x 247 Enter your answer in the boxes

Enter the equations of the asymptotes for the function f z f z 2 Vertical asymptote