代数
一次方程式、二次関数、不等式、式変形。
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simplify. $(6x)^2$ write your answer without parentheses.
$36x^2$
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simplify the square root. assume all variables represent positive numbe…
A. $\sqrt{45} = 3\sqrt{5}$ (Type an exact answer, using radicals as needed.)
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rewrite the following polynomial in standard form. \\(-1 - 6x^{2} - \\f…
$-\frac{x^4}{6} - 6x^2 - 1$
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find the solution of the system of equations. $-10x - y = 27$ $-4x - y …
$(-3, 3)$
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put the following equation of a line into slope - intercept form, simpl…
\(y=\frac{1}{2}x + 4\)
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which of the following citations indicates an example of setting? \i wa…
"One winter's night, two years ago..."
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13) $(4p - 1)^2$ 14) $(7x - 6)(5x + 6)$ 15) $(6n + 3)(6n - 4)$ 16) $(8n…
13) $16p^2 -8p +1$ 14) $35x^2 +12x -36$ 15) $36n^2 -6n -12$ 16) $48n^2 -18n -3$ 17) $30k^2 +55k +25$ 18) $12x^2 -7x -12$ 19) $24a^3 +8a^2 +6a +4$ 20) $7k^3 -17k^2 +55k -21$ 21) $1…
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what system of equations does the graph show? write the equations in sl…
$y = -2x + 1$ $y = \frac{7}{4}x - 7$
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r = (cbr + ima) - (cdr + em) cbr = 6% ima = 5% cdr = 2% em = 10% what i…
\(-1\%\)
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add or remove commas, if necessary, until the sentence has correct punc…
Remove the comma; the correct sentence is: Ryan Howard updates his blog every day unless his favorite TV show is on.
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read the sentences below, filling in the blanks with items from this li…
1. The primary reason the Confederacy struggled to gain foreign support was due to their reliance on **King Cotton Diplomacy** 2. The economic strategy of the Union aimed to weake…
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solve for u. \\(\frac{2}{3}u = \frac{1}{2} + \frac{5}{3}u + \frac{5}{2}…
\(\frac{3}{7}\)
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type the correct answer in each box. use numerals instead of words. wha…
$(-10, -4) \cup (0, 6)$
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simplify this radical.\\(sqrt{84}\\)\\(4sqrt{21}\\)\\(2sqrt{21}\\)\\(2s…
$2\sqrt{21}$
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which linear inequality is represented by the graph? $y \\leq \\frac{1}…
$y \leq \frac{1}{3}x - 1.3$
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what is the solution to the equation \\(\\sqrt{-5p} = \\sqrt{24 - p}\\)…
$p = -6$
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express as a complex number in simplest a+bi form: \\(\frac{-9 - 3i}{-3…
\(\frac{21}{13}+\frac{27}{13}i\)
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$1,750 are deposited into an account with a 7% interest rate, compounde…
\( \$2157.62 \)
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rationalize the denominator and simplify. \\frac{8}{\\sqrt{7}}
$\frac{8\sqrt{7}}{7}$
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select the correct answer from each drop - down menu. choose the best w…
First blank: locals Second blank: slave traders
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fill in the missing number to complete the linear equation that gives t…
3
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find the zeros of the function g(x). g(x) = x(x + 9) write your answer …
0, - 9
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find the zeros of the function f(x). f(x) = (x - 5)(x - 8) write your a…
5, 8
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graph this line: $y - 3 = 3(x + 1)$ click to select points on the graph.
Plot the points $(0, 6)$ and $(-2, 0)$ (or $(1, 9)$), then draw a straight line through them. The line represents $y = 3x + 6$.
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2x² + 3x - 5 = 0
The solutions are \(x = 1\) and \(x=-\frac{5}{2}\) (or if the equation is \(2x^2 + 3x - 15 = 0\), solutions are \(x=\frac{-3\pm\sqrt{129}}{4}\))
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spiral review 6. solve each equation. write each solution as a fraction…
| Equation | Solution (Fraction) | Solution (Decimal) | |----------|----------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6…
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3) $9(5 + 14\\div2)+8^2$ 4) $9 + 10(14 - 8 + 4)$
3) $172$ 4) $109$
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what type of figurative language is shown? the ocean waves danced in th…
personification
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they goed to the last game
They went to the last game
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or we can make an violence, that stain of bloodshed that has spread acr…
1. D. call for calm and unity between blacks and whites 2. C. paragraph 7 (beginning with "What we need...")
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algebra: concepts and connections - plc multiplying and dividing ration…
$\frac{m^8}{25}$
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find the product. simplify your answer. (2h - 1)(-3h² - 4h - 3)
\(-6h^3 - 5h^2 - 2h + 3\)
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3 + x < 23 solve the inequality.
$x < 20$
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which shows the rational expression written using the least common deno…
$\frac{x+1}{4x^2} + \frac{4(x+1)}{4x^2}$
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algebra: concepts and connections - plc adding and subtracting rational…
$24x^2$
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read the passage. in this excerpt a ship anchors in a remote harbor off…
4. The imagery of troubled birds and the gloomy weather contribute to a mood of suspense, suggesting that a conflict will occur between the captain and the stranger.
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name: extended practice: multi - step equations (beginner) directions: …
$x=3$ ---
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what is the sum? (\frac{3x}{x - 4}+\frac{x - 3}{2x}) options: (\frac{6x…
$\frac{7x^2 -7x +12}{2x(x-4)}$
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algebra: concepts and connections - plc adding and subtracting rational…
$\frac{9p^2 +10p +10}{(p-2)(3p)}$
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add \\(\\frac{4p^2 + 6}{4p^2} + \\frac{2p - 2}{10p}\\). which statement…
1. The sum is a rational expression. 2. The first fraction rewritten with the LCD is $\frac{20p^2+30}{20p^2}$. 3. The sum is $\frac{24p^2-4p+30}{20p^2} = \frac{12p^2-2p+15}{10p^2}…
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algebra: concepts and connections - plc adding and subtracting rational…
The three correct statements are: 1. The first fraction rewritten with the LCD is $\frac{3p^2+p}{6p^2}$. 2. The difference is a rational expression. (Note: Since only three option…
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consider the polynomial function $f(x) = x^2 (x + 5)(x - 2)$. which of …
A. \(-5\), C. \(0\), E. \(2\)
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2. what is jeanne reminded of when woody leaves? when they first arrive…
A. When they first arrived at the camp
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write the inverse of $d(x)=(x + 8)^2$? inverse of $d(x)=pm$ square root…
The first box (inside the square root) is \( x \) and the second box is \( - 8 \). So the first blank is \( x \), the second blank is \( -8 \).
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1. what is the 442nd combat regiment? an all japanese military unit a s…
A. An all Japanese military unit
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algebra: concepts and connections - plc adding and subtracting rational…
$\boldsymbol{\frac{2(x-2)}{2x^3} + \frac{x+1}{2x^3}}$ (the top-left option)
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what civilization developed after caral declined? the chavin civilizati…
The Chavin civilization developed after Caral declined.
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what was the most famous chavin site? the most famous chavin site is ch…
The most famous Chavin site is Chavin de Huantar.
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the movement of the progress bar may be uneven because questions can be…
C. Hanyu was the clear winner of the snowboard halfpipe championship. To begin with, he won for performing more tricks than his competitors. Next, he showed a higher degree of dif…
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which shows the expressions rewritten with the least common denominator…
$\frac{6p^2 - 15p}{12p^2}$ and $\frac{10p}{12p^2}$
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look at this graph: what is the y - intercept?
\(-2\)
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read the narrative prompt: write an essay about your favorite outdoor a…
C. My favorite outdoor activity is whitewater rafting, which is done on fast - moving mountain rivers with rough waters.
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(\frac{8}{3 - sqrt{5}})
\(6 + 2\sqrt{5}\)
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15. what should you remember when writing a formal summary of a persuas…
B. Never use the author’s exact words or examples without correct attribution.
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1. i like your watch. (el reloj) 2. we like coffee. (el café) 3. he lik…
1. Me gusta tu reloj. 2. Nos gusta el café. 3. Le gusta la camisa. 4. Le gusta bailar. 5. Nos gustan las vacaciones. 6. Le gusta la música. 7. Te gustan los libros. 8. Les gusta e…
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14 why is it important to consider your target audience for a persuasiv…
B. so you know how to approach the topic
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algebra: concepts and connections - plc adding and subtracting rational…
$\frac{11p^2 -23p +24}{(p-8)(4p)}$
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critical problems and design solutions grade 8: module 1, end of unit 3…
That's right—we lived, we survived. ### Question 4 (How are William and his family like the seeds?)
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reader - tidal waves mike hulling, ph.d, allison smith & sara stopkert,…
B. Shifting
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13. read the following topic. who would the target audience be? will sc…
A. students
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what is the sum? (\frac{2x}{x^2} + \frac{x - 4}{9x}) options: (\frac{x^…
$\frac{x^2 + 14x}{9x^2}$
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12 jessicas essay takes a stand against school uniforms. she asks herse…
with a counterclaim
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11. which of the following would you find in the introductory paragraph…
claim
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which payment option provides consistency in on - time bill payment? ○ …
D. automatic withdrawal
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10. in a persuasive essay, how does a writer address the opposing viewp…
C. with a counterclaim
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anastasia makes a good salary but wants to be sure she has good credit …
B. She should pay down her student loan and credit card debt.
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10 of 10 in a scenario where a government controls most media outlets, …
A. Authoritarian regime
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what might you expect to find out about people who are described as cre…
B. They have a history of not making their payments on time.
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6. what is the purpose of a persuasive essay? to entertain to convince …
B. to convince (assuming the options are labeled as A: to entertain, B: to convince, C: to instruct)
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application information questions\tharold\telaina how many years have y…
Harold because he pays his bills on time and does not have too much debt compared to his income.
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the movement of the progress bar may be uneven because questions can be…
B. The sound of the dripping faucet echoed in the empty house.
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which of the following best describes a central idea in this chapter? a…
d. William and his family suffered greatly when hunger and cholera struck their village, and many of their friends died. ### Part B (First Question)
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which is a short - term consequence of making a late payment on your bi…
B. There will be a late fee added to the bill.
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the movement of the progress bar may be uneven because questions can be…
D. This coffee shop is popular. The line is always long.
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what is the value of the rational expression \\(\\frac{2x + 1}{x^2}\\) …
$\frac{11}{25}$
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the movement of the progress bar may be uneven because questions can be…
A. Rajeet opened the window; he loved the smell of the rainstorm.
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question 6 of 10 select the two binomials that are factors of this trin…
B. \(x + 4\), D. \(x + 2\)
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3. which of the following is not an appropriate way to incorporate sour…
A. plagiarism
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question 5 of 10 factor the trinomial below. $x^2 + 5x - 24$ a. $(x - 4…
D. \((x - 3)(x + 8)\)
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the movement of the progress bar may be uneven because questions can be…
D. The tomatoes look ripe, the peppers are not ready to pick yet. (Note: Assuming the options are labeled A, B, C, D in order, with the last option being D. If the original labeli…
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2. which action will give your research paper a higher level of credibi…
B. incorporating credible sources
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which is a possible benefit of having a good credit history? getting a …
B. obtaining a low interest rate on a loan
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algebra: concepts and connections - plc adding and subtracting rational…
$x = -3$
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which statement describes a disadvantage of marnie paying a bill by tel…
B. Marnie will have to share her card account information.
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1. in her research paper, wendy used the exact words from one of her so…
B. a quotation
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the chart describes how four of susan’s friends handle their money. han…
Fiona (Note: Since the original options in the image seem to have a typo with "Nancy" shown, but based on analysis, Fiona is the correct choice. If we assume the options were pres…
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algebra: concepts and connections - plc adding and subtracting rational…
-3, 3
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algebra: concepts and connections - plc adding and subtracting rational…
$\boldsymbol{\frac{4x-8}{-2x^2}}$
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m(n) = 3n³ - 4n evaluate m(-1) type answer here.
1
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10. what happens when the gossip of the camp about papa is shared with …
B. He flies into a rage (assuming the middle option is labeled B; if the options are labeled as first: A, second: B, third: C, then the correct one is B. He flies into a rage)
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what is the value of the rational expression \\(\frac{x}{x^2 - 9}\\) wh…
undefined
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9. why do the others think that papa informed on the other men? he live…
B. He is released earlier than the others
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question 2 of 10 use the table to identify the values of p and q that s…
C. \(-2\) and \(5\)
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which person made the best payment decision for their preferences? sean…
Sean decides to pay his bills online because he does not like the inconvenience of finding stamps and mailing his bills.
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which represents all the values of x that make the rational expression …
$x=5$
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read the following passage: \football is still the most popular sport i…
C. Recent polls show that for the first time, a majority of parents say they would try and talk their children out of playing the game if they asked about joining a team. (Note: A…
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algebra: concepts and connections - plc adding and subtracting rational…
-7
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algebra: concepts and connections - plc adding and subtracting rational…
$\frac{4}{7}$
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8. 264 ≤ 8(3 - 7x) - 4x
\(x\leq - 4\)
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simplify. 7) $\\cos 2x\\cos -3x - \\sin 2x\\sin -3x$ 8) $\\sin -2x\\cos…
$\cos x$ ### Problem 8