Resources

Resources

Power rule with rational exponents

b

-values satisfy the following inequality?

5\lt b-3

During study hall, Judy finished

8\%

of the problems from her math homework. Dakota did

\frac{1}{2}

of the problems from her math homework. Who did a greater percentage of her math problems?

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(f*g)(x)

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f(x)=4x+2

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g(x)=2x^{2}

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Write your answer as a polynomial or a rational function.

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\square

Select the information that is not needed to solve the problem. Then solve the problem.

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Anja has worked at her job for

6 \frac{1}{2}

years. Each year she works

48

weeks, and each week she works

39 \frac{1}{2}

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How many hours does Anja work each year?

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Which information is not needed to solve the problem?

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(A)The number of years Anja has worked.

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(B)The number of hours she works each week.

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(C)The number of weeks Anja works each year.

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\square

hours each year.

A landscaper is cutting a

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24\frac{1}{8}

-foot rope into pieces to make fences.

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The length of each piece is

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3\frac{1}{5}

The form of your answer should either be

p(x)

p(x)+\frac{k}{x+3}

p(x)

is a polynomial and

k

\frac{2x^3-x^2-12}{x+3}

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\frac{1}{8}

+

\frac{1}{2}

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3

. Select all the true statements about the relation.

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\{(0,0),(1,3),(1,-4),(2,5),(3,4)\}

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The relation is not a function.

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The range of the relation is

\{0,1,2,3\}

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The range of the relation is

\{-4,0,3,4,5\}

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The domain of the relation is

\{-4,0,3,4,5\}

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The domain of the relation is

\{0,1,2,3\}

y=-\frac{1}{3}x-9

written in standard form?

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1

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x+3y=-27

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y=-\frac{1}{3}(x+27)

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3y=-x-27

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\frac{1}{3}x+y+9=0

What is the value of this expression?

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(1.25 \times 10^{-4}) + \frac{(7.5 \times 10^{-5})}{0.08}

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2.5 \times 10^3

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2.5 \times 10^4

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2.5 \times 10^{-4}

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2.5 \times 10^{-3}

4x

gives the perimeter of a square with a side length of

x

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What is the perimeter of a square with a side length of

\frac{5}{7}

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\square

f(x)=(x-3)(x+2)(x+4)(x-1)(2 x-9)

x=-4, x=-2, x=1, x=3

x=\frac{9}{2}

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What is the sign of

f

on the interval

-2<x<\frac{9}{2}

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1

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f

is always positive on the interval.

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f

is always negative on the interval.

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f

is sometimes positive and sometimes negative on the interval.

\begin{array}{l}f^{\prime}(x)=-7 e^{x} \text { and } f(5)=24-7 e^{5} . \\ f(0)=\square\end{array}

For a given input value

q

f

outputs a value

r

to satisfy the following equation.

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11 q-4=3 r-6

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Write a formula for

f(q)

q

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f(q)=\square

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Sally, a teacher's assistant, is grading quizzes. The function

f(x)

gives the number of quizzes she can grade in

x

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f(30) = 15

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(A) Sally can grade

15

30

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(B) Sally can grade

30

15

Malik makes clay sculptures and ships them to buyers throughout the country. The function

f(x)

gives the cost, in dollars, of shipping a box that weighs

x

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f(7) < 10

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(A)It costs Malik less than

\$7

to ship a box weighing

10

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(B)It costs Malik less than

\$10

to ship a box weighing

7

(f * g)(x)

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f(x) = -2x + 4

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g(x) = -2x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = x + 5

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g(x) = -2x^2

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = x + 5

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g(x) = 3x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 4x + 4

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g(x) = -x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 2x

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g(x) = x^2 + 2x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 3x

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g(x) = -3x^2 + x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 3x + 3

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g(x) = -3x^2

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 3x^2 - 3

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g(x) = -4x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = -x

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g(x) = -x + 3

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = x + 1

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g(x) = x^2

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 4x + 1

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g(x) = 3x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = -4x + 4

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g(x) = -4x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = -4x + 1

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g(x) = x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = -x + 3

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g(x) = -3x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 3x + 3

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g(x) = -3x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 4x + 1

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g(x) = 2x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = x^2 - 4

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g(x) = -2x

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Write your answer as a polynomial or a rational function in simplest form.

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(f * g)(x)

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f(x) = 3x

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g(x) = 3x^2 + 4x

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Write your answer as a polynomial or a rational function in simplest form.

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The list below shows the temperature Bao recorded at

11

00

p.m. for four days last January.

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-7^{\circ} \mathrm{F}

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0^{\circ} \mathrm{F}

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7^{\circ} \mathrm{F}

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-25^{\circ} \mathrm{F}

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On which of the days did Bao record the lowest (coldest) temperature?

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\pi

a natural number?

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\pi

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Write the expression in simplest form.

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(\frac{9}{\sqrt{3}+\sqrt{7}})=

The formula for the density of a bacteria population is

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\frac{N}{A}

where there's an average of

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N

bacteria in an area size

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A

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Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of

4500

bacteria per square centimeter and Orion reports a density of

50

bacteria per square millimeter.

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Which one reports a higher density?

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1

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(A) Guang reports a higher density than Orion.

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(B) Orion reports a higher density than Guang.

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(C) Guang and Orion report equal densities.

n=\left(\frac{1.96 \sigma}{E}\right)^{2}

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Elon is planning a study of hours of internet use per month per household. He uses the given equation to determine the minimum number of randomly selected households,

n

, that he needs to include in his sample given a standard deviation of

\sigma

hours and a maximum allowable error of

E

hours. Which of the following equations correctly gives the standard deviation in terms of the maximum allowable error and the minimum number of randomly selected households?

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1

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\sigma=\sqrt{\frac{E n}{1.96}}

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\sigma=\frac{E \sqrt{n}}{1.96}

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\sigma=\sqrt{\frac{1.96 n}{\sigma}}

Fully simplify using only positive exponents.

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\frac{27 x y^{5}}{27 x y^{4}}

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A(q) = 86(0.9)^{\frac{q}{4}}

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The function models

A

, the number of active players, in thousands, of a mobile game

q

quarter years after

2018

. Based on the function, how many quarter years does it take for the number of active players to decreases by

10\%

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1

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0.1

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0.225

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0.9

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4

Find the average value of the function

f(x)=\frac{4}{2 x-11}

x=6

x=10

. Write your answer as the logarithm of a single number in simplest form.

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\ln (\square)

\left(\frac{1}{\sec x - \tan x}\right) - \left(\frac{1}{\sec x + \tan x}\right)

Nayeli lights a

4m^{2}

12

candles. Citlali lights a

10m^{2}

30

of the same type of candles.

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Whose space is lit brighter?

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1

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(A) Nayeli's area

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(B) Citlali's area

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(C) The spaces are equally bright.

Which of the following is a correct interpretation of the expression

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-7-(-11)

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1

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-7

on the number line and move

11

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-7

on the number line and move

11

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-11

on the number line and move

7

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-11

on the number line and move

7

Which of the following is a correct interpretation of the expression

-7-(-11)

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1

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-7

on the number line and move

11

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-7

on the number line and move

11

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-11

on the number line and move

7

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-11

on the number line and move

7

Write the expression

\frac{1}{2} \ln 9+\ln 3

as a single logarithm in simplest form without any negative exponents.

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\ln (\square)

Write the expression

\frac{1}{3} \ln 8+\ln 3

as a single logarithm in simplest form without any negative exponents.

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\ln (\square)

Write the expression

-\ln 2+\ln 5

as a single logarithm in simplest form without any negative exponents.

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\ln (\square)