Algebra Questions

For the point P 21 5 and Q 26 8 find the distance d P Q and the Coordinates of the midpoint M of the segment PQ What is the distance Simplify your answer Type an exact answer using radicals as need

Find the missing digits Enter one digit in each blank a 64 9 6 6 1 b c 16 4 63 1 4 494 586 4 29 8 928 d 0 3 3 927

State the open intervals over which the function is a increasing b decreasing and c constant Q 10 40 Ay 124 74 E CELLE a Select the correct choice below and if necessary fill in the answ box to complete your choice OA The function is increasing over the open interval s Type your answer in interval notation Use a comma to separate answers as needed OB The function is never increasing

For the given function find a f 1 b f 2 a f 1 10 16 FYFISOL

Decide whether the relation defined by the graph to the right defines a function and give the domain and range Does the graphed relation define a function Yes No What is the domain of the graphed relation Type your answer in interval notation 10 884 10 B 6 B B 40 2 10 67 X

Give ordered pairs that are solutions and graph the equation 3y 4x 12 Complete the ordered pairs so they are solutions to the given equation X V

A P 1 n where A is the accumulated amount after an initial investment of P dollars is invested for t years at annual interest rate 7 compounded n times per year Use the formula above to determine the accumulated amount for each of the following different scenarios Round solutions to the nearest cent Assume there are 365 days in a year If 39 500 is invested for 14 years and earns 10 interest compounded monthly the accumulated amount is A If 16 500 is invested for 26 years and earns 7 interest compounded quarterly the accumulated amount is A If 30 500 is invested for 16 years and earns 3 interest compounded daily the accumulated amount is A If 19 500 is invested for 13 years and earns 6 interest compounded annually the accumulated amount is

Match each graph with its equation N 5 4 ABAIX 2 L U 439 2 NO 3 4 a f x immmmm b f x c f x d f x e f x f f x P 2 2 41

Match each graph with its equation 5 4 3 2 125 4 3 HEN SEX P TEL 6 24 12 100 They a f x 3 b f x 3 2 c f x 3 d f x 3 12 e f x 3 37

Solve the following exponential equation 5 321 22 P 625 If multiple solutions exist enter the solutions using a comma separated list

1 Simplify the expression and tell whether it represents a real number or a non real number a 144 64 Answer

Let g v g 4 9 1 immun Evaluate the following expressions Use a calculator when necessary Round solutions to four decimal places if necessary g 2 g 0 5e 2

Let f x Evaluate the following expressions Answers should be exact Do not round DAN 3 f 1 f 4 7 f 0

Let f z 3 Evaluate the following expressions Solutions should be exact Do not round f 1 f 5 f 4 f 0

Which expression is equal to O c c 2 2 c 2 2 c 2 c c 2 2 c 2 c c 2 c c 2 2 c 2 c 4 6c4 15c c 4c 4 12c 30c

Which expression is equal to O 8 m 3 m 2 2m m 2 4m m 6 m 8 2m 2 m 2 m 2 m m 3 m 4m

Enter the simplified form of the complex fraction in the box Assume no denominator equals zero 2 x 3 3 x 3 3 X

Which expression is equal to 3x x 3 3x 2x 6 x x 3 4x x 6 x x 3 x 42 6 x x 3 4x x 6 T x 3 x 2 I

Which expression is equal to O r 3x 10 x 2 x 5 x 9x 6 x 2 x 5 3x 11x 6 x 2 x 5 2 11x 6 x 2 x 5 2x x 2 x 3 x 5

A p 1 r t If Francis invests 2 000 into a fund that earns 3 5 interest compounded annually how long will it take for her investment to grow into 12 000 Identify all variables 2 Substitute the numbers into 3 4 s 6 the formula Use steps 4 7 to solve for t Divide by the whole number on both sides Take the in of both sides Expand the right side

In chemistry logarithms are key to calculating the pH of a solution pH log H In this equation H is the hydrogen ion concentration Find the hydrogen ion concentration of a substance with a pH of 7 a 710 b 107 c 10 7 d 107

The Richter scale is used for measuring the magnitude of an earthquake The Richter magnitude M is given by the model M 0 67log 0 37E 1 46 where E is the energy in kilowatt hours released by the earthquake Suppose an earthquake releases 18 500 000 000 kilowatt hours of energy What is the earthquake s magnitude to the nearest tenth a 7 4 b 7 5 C 8 1 d 8 05 OOOO

Marcus states that the polynomial expression 3x 4x y 2 is in standard form Ariel states that it should be y 4x y 3x 2 Explain which student is correct and why 1

Identify the expression which is not equivalent to the others A 1 B x6 x C 2 2 3 D E x15 x3 6 x 4

Match the exponential expression with its simplified form 2 x 7 x x4 x x 2 x 1 X 5 X x 4 X 1 x 8 1 88 x 2 X 1 x

Multiply Express your solution with positive exponents 2v 3u v 4 A B C 8 u6 4u5 v 8v u5 C

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points For this question DO NOT apply the standard deviation rule a What proportion of the students scored at least 27 points on this test rounded to five decimal places 0 00621 I A b What is the 80 percentile of the distribution of test scores rounded to three decimal places

If f x 2x 9 what is the sum of all values of a for which f x 5 O2 07 09 O 14

2x 5 4 x 1

17 26 19 2x y 21 23 25 27 29 2r 3n 3n 3m m 3 2 4x y z 4x 4 3 3 4m n p 224 3m n P 18 x y 20 3m 2 22 24 4 m 2m 26 4 3 2x y z 3x y z 28 2h j k 3 jk 30 1 1 3x y z 4 00 x y z

ASUW is equilateral and ZTSU ZUWV Complete the proof that AUVW T S 1 2 U 3 Statement V ZVUW ZSUT UW SU SAUVW AUTS W ASUW is equilateral ZTSU ZUWV Reason AAS Additive Property of Angle Measure Additive Property of Length All right angles are congruent

Drag the appropriate box next to the given value to illustrate if each value is a solution to the equation h5 6 Drag and drop an answer choice into each empty box below Not a Solution Solution a h 53 b h 43 c h 43 8 d h 53

Which of the integers below is the least integer value that will make the following inequality 2x 6 18 true 8 O 20 6 6

If 810 1 2 O X O x X O X O X 6 what is the value of x 11 2 11 NANGE

Determine the values of r that satisfy the following inequality 2r 4 16 Drag and drop an answer choice into each empty box below YES NO A r 15 B r 4 C r 5 D r 8

If 13 144 O 24 54 5 4 zd then what is the value of 6d 3

Part B Select the correct solution set for the following inequality 3x 8 3 2x 8 7 6 5 4 3 2 1 1 0 H 0 H 2 3

Part A Select the correct solution set for the following inequality x 25 4x 1 0 0 1 8

What is the value of x 2 y 3 X 9 and y 12 O 4 O 2 10 2 whe

Which of the following best models the solution set of the given inequality 3 x 3 6 0 1 2 0 0 0 3 4 HH 5 6 1 2 3 4 1 I 5 H 1 2 3 4 5 1 2 3 4 5

1 2m 2m 3 47 2r 5 2k 4k 2 m 2m 3 4 4n 2n 3 1 3 3 6 2x y 2x y

13 470 4 5 3k 4 14 4a 16 4x

Solve for x 2 O 0 O 2 x 3 2 x 2 x O x O x 2 6 10

Solve for y 6 y 5 O y O y O Y 9 19 6 y 1 24 19 6

Which of the following best describes the steps you would use to solve for x in the equation X 5 3 2 Add 3 to both sides and then divide by 5 1 Multiply both sides by and then add 3 5 Add 3 to both sides and then multiply by 5 Multiply both sides by 5 and then add 3

If 4x 9 16 what is the value 12x 21 O 21 O 96 O 45 O 42

The expression 3 x 3 simplified to O 9x 45 O 9x 27 O 3x O 33 3x 27 6 6x can b

24 x 30 100 9

1 11 4 d 16 5 O 1 5 6 u 22 6 a 11 14

Find the domain of the given function Enter the solution using interval notation 5 25 x n x Domain Find the domain of the given function Enter the solution using interval notation 8 49 T s x