High School Algebra Questions

For the polynomial function y 3 4 5 2 1 5 match each of its zeros with their multiplicities and their appearance on the graph DRAG DROP THE ANSWER 1 2 3 4 cross cut through bounce wiggle bend Multiplicity Appearance on Graph 2

The function g x is a polynomial with the following end behavior as z 00 f x o as o f x 0 Which of the answer choices could be an expression that represents g x x 2x 6 4x x 5 3x 4x 1 2x 7x 4x

flights Flying Time 3 hrs 30 min 3 5 5 hrs 20 min 5 33 Fuel Con sumption Per Hour 6 gallons 12 gallons Amount of Fuel 5 gallons 20 gallons 40 gallons 5 gallons Used 1 2 3 4 hrs 4 5 4 4 hrs 22 min 4 375 5 6 hrs 10 min 6 17 6 2 hrs 24 min 2 4 3 hrs 12 min 3 2 7 15 gallons 8 5 hrs 5 min 5 08 18 gallons 9 How much gasoline will be consumed in a flight of three hours forty minutes If the engine uses nine gallons per hour 3 67 x 9 10 An airplane makes a flight of six hours forty two minutes The engine uses an average of 18 gallons of gasoline per hour How much gasoline will be consumed during the flight

DIG for Victory Producing posters such as this one was part of the United States A B fundraising drive to sell war bonds to citizens rationing program to prevent shortages of goods C volunteering drive to encourage citizens to enlist GROW YOUR OWN EGETABLES se write a justification for your answer explain why you chose the answer that you chose D propaganda campaign to maintain labor productivity

14 evaluate at x 2 If needed round correctly to hundre 2 DIGITS PASSED THE DECIMAL Tunc onco

A chemistry lab requires students to identify chemical compounds by using various tests Each student is given samples of three different compounds labeled A B and C Each student is also given a list of six possible compounds If a student does not perform the tests and randomly chooses three from the list what is the probability that he guesses all three correctly

Jeff used the equation 16 3f 1 to calculate how many flowers were growing in his yard How many flowers did Jeff have growing in his yard A B C 4 5 84

Which of these polynomial functions is graphed below O 8 6 4 2 A B C D 60 50 40 30 20 10 2 4 10 201 y x 3 y x 27 y x 27 y x 3 x 6 8

Simplify the expression below 4 5i 2 i A B C D 13 6i 8 52 13 62

Graph the cube root function and analyze the minimum and maximum on the given interval f x x 4 7 1

14 2x 2y 12 y 3x 12

10 3x 2y y 2x

12 y x 3 3x y 9

16 2x 3y 5 y 2x 1

11 x y 2 y 4x 1

4x 3y 6 y 2x 4 15

Question Solve the system of equations graphed on the coordinate axes below 6 y 3x 7

The system of equations graphed on the coordinate axes below y 1 2x 2

Question Solve the system by substitution Answer Attempt 1 out of 2 y 6a 2 y 5x

Question Solve the system of equations graphed on the coordinate axes below 1 y 2 3 3 y 2z 1 y3 2x 1 y 1 2x 3

e system by substitution y 7x y 5x 10

ve the system of equations graphed on the coordinate axes below 8 6 Y x 3 14 12 3 3 5x 1 2 3 y 3 2x 1 4 5 6 7 8 10 y 1 2x 3

A11 Hans has determined the angle B and obtained a result of 60 Explain why this is not correct 5 m 30 8 m B 2 The areas of the square and the triangle are equal Give reasons

2 26 2y 5x 2y 4 NO 31 0 2 S

7 During Hornet Culture Day a 4 foot tree was planted in 2003 If the tree has grown continuously by 22 each year since it was planted what would the height of the tree be this year

3 In 2005 the Enterprise Southern Maryland News had 37 000 subscriptions The number of subscriptions subsequently decreased by 8 each year Write and use an exponential decay model to find the number of subscriptions in 2024

Lonioq od ba 28 4 2yoq 4 6x y to solo 4 3 5 2 1 0 2

12 x 4y 4 5x 4y 12 10

tione hy Graphing ction of the two lines y 3 4x 0 4 3x y or 4 12 3 2 10 2 3

5 Jake bought a new truck for 35 000 in 2024 Each year the value of his truck depreciates by 9 Write and use an exponential decay model to find the value of his truck at the end of his 72 month loan

Sometimes a quantity is constantly increasing or decreasing at an exponential rate and not just after each year month day hour etc Write the formula to the right which can be used to find the balance of the account in these such cases A r is positive for growth models and negative for decay models

4 In November 26 students at Great Mills High School had contracted the flu Each month the number of students who have contracted the flu increases by 36 Write and use an exponential growth function to find the total number of students who have contracted the flu by May

Evaluate 10m 4 when m 5 and n 4

Evaluate 8r rs when r 6 and s 5

Factoring the Difference of Squares Factor each completely 1 9x 1 3 36k 1 5 2x 18 2 4n 49 4 p 36 6 196n 144

Factoring Trinomials when a 1 11 b 16b 60 13 x 2x 8 15 2x 32x 120 17 6m 36m 42 19 5k 5k 10 12 n 14n 40 14 n 12n 32 16 5n 30n 135 18 2p 6p 140 20 46 40b

Factor the common factor out of each expression 1 90n 40n 40n 70n 3 2014 50 2 18x 15 4 8m 8m 20m 24m

Factoring When A does not equal 1 Factor each completely 1 3p 2p 5 3 3n 8n 4 2 2n 3n 9 4 5n 19n 12

The plot below represents the function f x 5 43 2 1 5 4 3 2 1 1 2 5 Evaluate f 1 1 2 3 4 5

91 and m MTF 82 find mLU ImMF F T L M U

O 6 5 4 3 2 1 6 5 4 3 2 1 1 2 2 3 4 5 6 4 5 6 Write the domain of the function using interval notat

4 y 2x 6 y 3x 7

Solve each system x y by substitution 5 y 2 y 4x 2

e of the solution to each system 2 y 3x 5 y 4x 7

3 y 4x 12 y 2x 4

Where does the graph of the function h z 272 125 cross the z axis B C 2 1 1

The movement of the pro Match the expression on the left with its simplified form on the right Answer options on the right may be used more than once 1 31 3 31 131 131 3

3x 9x 12x x 3x 28 HACI R 6 D X

Solve the following equation for x Show all work 32x 27 2x 1 X D BIUS X x Font Size Q A A

2 x 9x 20 9x 12x 4