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Resources

Simplify radical expressions with variables II

Name Aliya buge

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4

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40

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Quiz * Modified *

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1

. Fill out the t-chart about expressions and equations. (

6

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1

N_{0}=

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2

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3

. varble oney one numben

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1

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2

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3

. Varble oney one nabep

Use the statement to answer the question.

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\times \frac{2}{3}<\frac{2}{3}

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Which number makes the statement true?

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\frac{2}{3}

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1

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\frac{4}{3}

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\frac{3}{2}

Select the expressions that are equivalent to

5m + 4m

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Multi-select Choices:

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m + 9m

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8m

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m \times 9

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m + 8m

y=C \sin\left(\frac{x}{D}\right)+1

be the equation of the graph above. Find the value of

C\cdot D

r=|\vec{r}|

\vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}

, then prove that \vec{\(\newline\)abla} .

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*** END OF PAPER ***

Import favorites

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MVNU Students Ho...

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ALEKS - Jameson C...

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Triangles and Vectors

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Solving a triangle with the law of sines: Problem type

2

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Consider a triangle

A B C

like the one below. Suppose that

a=46, c=12

A=97^{\circ}

. (The figure is not drawn to scale.) Solve the triangle.

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Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

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If no such triangle exists, enter

Use the Ratio Test to determine whether the series is convergent or divergent.

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\sum_{k=1}^{\infty} 9 k e^{-k}

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a_{k}

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Evaluate the following limit.

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\lim _{k \rightarrow \infty}\left|\frac{a_{k}+1}{a_{k}}\right|

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\square

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\lim _{k \rightarrow \infty}\left|\frac{a_{k}+1}{a_{k}}\right| ? \vee 1,-

Approximate the area between

h(x)

x

x=-2

x=4

using a right Riemann sum with

3

equal subdivisions.

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R(3)=

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\square

^{2}

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Show Calculator

The positive numbers

x

a-x

a

x

a

x \cdot(a-x)

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1

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\frac{a}{2}

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\sqrt{\frac{a}{2}}

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\sqrt{a}

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a

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(E) There is no

x

that would produce a maximum product

b

. Express your answer in simplest radical form if necessary.

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b=\sqrt{86} \cdot \sqrt{86}

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b=

c

. Express your answer in simplest radical form if necessary.

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c=-\sqrt{98} \cdot-\sqrt{98}

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c=

Solve the following equation for

x

. Express your answer in the simplest form.

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-(5 x-7)-3=5 x+2(-5 x+2)

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Simplify. Assume all variables are positive.

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\frac{z^{\frac{1}{2}}}{z^{\frac{3}{2}} \cdot z^{\frac{3}{2}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{s^{\frac{1}{2}}}{s^{\frac{3}{2}} \cdot s^{\frac{3}{2}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{s^{\frac{4}{3}}}{s^{\frac{2}{3}} \cdot s^{\frac{1}{3}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{c^{5/2}}{c^{5/2} \cdot c^{3/2}}

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Write your answer in the form

A

A/B

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{t^{\frac{3}{2}}}{t^{\frac{3}{2}} \cdot t^{\frac{1}{2}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{w^{\frac{1}{3}}}{w^{\frac{4}{3}} \cdot w^{\frac{7}{3}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{b^{\frac{3}{2}}}{b^{\frac{3}{2}} \cdot b^{\frac{5}{2}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Simplify. Assume all variables are positive.

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\frac{b^{\frac{4}{3}}}{b^{\frac{4}{3}} \cdot b^{\frac{1}{3}}}

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Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

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Evaluate the left hand side to find the value of

a

in the equation in simplest form.

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\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}=x^{a}

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3

4

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\square

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Parts of algebraic expressions

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Consider the expression

\frac{1}{2} b h

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2

descriptions of the parts of the expression.

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1

. The entire expression is the product of

v

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2

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3

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4

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3

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4

A sequence starts

-3,1,5,9 \ldots

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a. If you wanted to find the

50^{\text {th }}

term of the sequence, would an explicit equation or a recursive equation be more useful?

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b. Write the equation in

Consider the function

f(x)=-\frac{1}{3}(x-2)^{2}+1

. Using the drag and drop boxes below, write the domain and range of

f(x)

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Simplify to a single trig function with no denominator.

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\csc ^{2} \theta \cdot \sin ^{2} \theta

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\sqrt{3}\sin x+3\cos x

A \sin(x+\alpha)

\sqrt{3}\sin x+3\cos x=\sqrt{3}

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0 \leq x \leq 2\pi

\frac{d\varphi}{dx}

\frac{d\varphi}{dx}

-7xY-5

Pearson VUE - It's time to te: OnVUE System Test Downlos abe-prd

-4

.pearsonvue.com/hs

1

/driver/startDelivery? sessionUUiID=d

386

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® - Mathematical Reasoning - Yassin Ndow

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✓ Highilight (j)

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Which number, when placed in the box, will make the equation true?

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\Box^{2}=\sqrt{64}

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\sqrt{8}

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\sqrt{32}

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16

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32

Which number, when placed in the box, will make the equation true?

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\square^{2}=\sqrt{64}

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\sqrt{8}

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\sqrt{32}

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16

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32

Use the given verices to calculate the coordinates of

\triangle L M N

after a dilation centered at the origin with scale factor

k=-3

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L(0,0), M(-4,1), N(-3,-6)

Follow the instructions below.

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a \cdot a^{2}

without exponents.

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a \cdot a^{2}=

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Fill in the blank.

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a \cdot a^{2}=a^{\square}

1

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2

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3

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4

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5

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6

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7

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8

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9

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Follow the instructions below.

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a \cdot a^{2}

without exponents.

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a \cdot a^{2}=

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Fill in the blank.

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a \cdot a^{2}=a^{\square}

x

y

are both positive, write the following expression in simplest radical form.

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\sqrt{4x^{3}y^{7}}

Woo-Jin and Kiran were asked to find an explicit formula for the sequence

64, 16, 4, 1

, where the first term should be

f(1)

Consider the following polynomial.

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q(x)=4x^{2}-3x+12

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2

2

: Describe the behavior of the graph of

q(x)

x \rightarrow \pm\infty

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q(x)\rightarrow \square

x \rightarrow -\infty

x

y

are both positive, write the following expression in simplest radical form.

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7 x \sqrt{9 x^{2} y^{4}}

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x

y

are both positive, write the following expression in simplest radical form.

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7 \sqrt{4 x^{5} y^{5}}

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x

y

are both positive, write the following expression in simplest radical form.

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x \sqrt{4 x^{6} y^{3}}

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y

-coordinate of the

y

-intercept of the polynomial function defined below.

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f(x)=x(x-5)\left(x^{2}-1\right)

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Answer the following True or False. Let

f(x)

be a increasing positive function. Then the right endpoint approximation is greater than the area under the curve.

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Simplify the radical expression.

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\sqrt{12x^{12}}

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Write your answer in the form

A

\sqrt{B}

A\sqrt{B}

A

B

are constants or expressions in

x

. Use at most one radical in your answer, and at most one absolute value symbol in your expression for

A

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