Algebra
Linear equations, quadratic functions, inequalities, and transformations.
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name emily tulley teacher hour 2ed unit 5 factoring and polynomial equa…
False #### Part B
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when factoring a trinomial, you find two numbers that ______ to the mid…
When factoring a trinomial, you find two numbers that **add** to the middle number, and **multiply** to the last number
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ing the quadratic formula with complex solutions -jean caulian open-end…
2 (or 1; the greatest common divisor is 2)
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simplify. assume x is greater than or equal to zero. \\(sqrt{45x^{9}}\\)
$3x^4\sqrt{5x}$
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caleb goes out to lunch. the bill, before tax and tip, was $15. a sales…
$\$18.64$
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simplify. assume k is greater than or equal to zero.\\(\\sqrt{50k^{8}}\…
$5k^4\sqrt{2}$
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factor: $x^2 - 8x$
$x(x - 8)$
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simplify. assume t is greater than or equal to zero. \\sqrt{20t^{9}}
$2t^4\sqrt{5t}$
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16/35 factor completely $r^2 - r - 56$ $4(r + 3)(r + 9)$ $3(r - 3)(r + …
D. $(r + 7)(r - 8)$
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simplify. assume k is greater than or equal to zero.\\(sqrt{45k^{5}}\\)
$3k^2\sqrt{5k}$
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adapted from the innocents: \chapter 2\ by sinclair lewis they took the…
D. Despite feeling afraid, Mother trusts Father’s confidence and becomes more relaxed as their journey unfolds.
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defense, there is no process for gathering all the observations the mil…
C. The military is not taking these incidents seriously.
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adapted from the innocents: “chapter 2” by sinclair lewis they took the…
A. The steamship setting helps the author show the characters’ excitement and anxiety at leaving their everyday lives.
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solve each rational equation. remember to check for any extraneous so 1…
$3x^2$
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simplify. assume a is greater than or equal to zero. \\sqrt{75a}
$5a^5\sqrt{3}$
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6. the supreme court is in control of which branch of government?
The Supreme Court is in control of (or part of) the judicial branch of government.
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27. a landscaper charges $45 per hour with a $30 travel fee. write the …
b. $C = 45h + 30$
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which statements are true about the expression ( z + 7 )? choose all th…
- The letter $x$ is a variable. - The number 7 is a constant. - The letter $x$ is a term. - The number 7 is a term.
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factor\ r² -16r + 60\ (r - 6)(r + 10)\ (r - 6)(r - 10)\ (r +30)(r - 2)\…
(r - 6)(r - 10)
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move on to the next section. 1. how many states require a working car h…
C. All of them.
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factor completely a² + 10a + 24 (a + 4)(a + 6) 4(a + 6)(a + 9) 6(a + 7)…
A. \((a + 4)(a + 6)\)
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26. a gym membership includes a monthly fee of $30 and a one - time joi…
d. $T = 30m + 50$
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1) write down this question and your work in your math notebook. you wi…
$-\frac{1}{5}$
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what values of x solve the following inequality? -6(6x - 6) < 40 - 16x
\(x>-\frac{1}{5}\)
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solve for k. 5k + 1 ≤ 11 or 3k - 7 > 8 write your answer as a compound …
$k \leq 2$ or $k > 5$
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15/35 factor $x^2 - 16x + 48$ $(x - 16)(x - 3)$ $(x + 6)(x - 8)$ $(x - …
C. \((x - 12)(x - 4)\) (assuming the orange option is labeled C; if the labels are A, B, C, D with A being green, B purple, C orange, D teal, then the answer is C. \((x - 12)(x - …
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25. what is the coefficient of x in the expression 5x + 3y? a. 3 b. 5x …
c. 5
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factor $k^2 - 2k - 24$ $(k + 4)(k - 6)$ $(k - 4)(k + 6)$ $(k + 4)(k + 6…
A. $(k+4)(k-6)$
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factor $n^2 + 16n + 63$ $(n+7)(n+9)$ $(n-7)(n+4)$ $(n+7)(n-9)$ $(n-3)(n…
A. \((n + 7)(n + 9)\)
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phs the function $f(x) = -(x + 2)^2 - 1$ as shown. which best describes…
The vertex should be a maximum.
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23. to advance to the next round in a competition, contestants must sco…
d. $x > 75$
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factor 24x - 64 using the gcf 6(4x - 12) 24(x - 3) 8(3x - 8) 12(2x - 5)
$8(3x - 8)$
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solve for z. -7 ≤ 2z - 3 ≤ 11 write your answer as a compound inequalit…
$-2 \leq z \leq 7$
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what values of x solve the following inequality? -(6x - 6) < 40 - 16x
\(x < \frac{17}{5}\) (or \(x < 3.4\))
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which of the following expressions is equivalent to $18x^4 - 12x^2$? $6…
B. \(6x^2(3x^2 - 2)\) (the purple option, assuming the options are labeled as Yellow: \(6(3x^2 - 2x^2)\), Purple: \(6x^2(3x^2 - 2)\), Orange: \(x^2(18x^2 - 12)\), Teal: \(6x(2x^3 …
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22. a car rental service charges $100 plus $10 per mile driven. write a…
a. $C = 10m + 100$
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simplify. $9\\sqrt{18}$
$27\sqrt{2}$
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21. a coffee shop charges $1.50 for each coffee. what equation models t…
d. $C = 1.5n$
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factor: x² - 30x + 225 options: (x - 15)² (x - 25)² (x + 15)² (x + 25)²
\((x - 15)^2\) (corresponding to the green card option: \((x - 15)^2\))
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current skill if z = 12, which equation is true? 36z + 10 = 7 6.5z + 8.…
\( 6.5z + 8.5 = 86.5 \) (the second equation from the left)
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5. what is the job of the legislative branch?
The job of the legislative branch (e.g., in a democratic system like the US with Congress) is to make laws (legislation), oversee the executive branch, approve budgets, confirm ap…
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gods & goddesses 12. who was king of all the gods and goddesses, and wh…
Zeus was the king of all the gods and goddesses. His nickname included "the Thunderer" (or "Father of Gods and Men" etc., with "the Thunderer" being a well - known one related to …
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simplify.\\(sqrt{75}\\)
$5\sqrt{3}$
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20. which operation would typically be used first when solving the equa…
c. Subtraction
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solve for s. 2s + 15 < 9 or 2s + 9 > 17 write your answer as a compound…
$s < -3$ or $s > 4$
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simplify. (9sqrt{28})
$18\sqrt{7}$
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solve for z: -9z - 8 = -6z + 7
\(z = - 5\)
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simplify. $5\\sqrt{45}$
$15\sqrt{5}$
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16. factor the expression: $5g^2 + 15g + 10$ a) $5(g + 2)(g + 1)$ b) $(…
16. a) $5(g + 2)(g + 1)$ 17. d) $3(n - 3)(n - 2)$ 18. d) $(m + 6)(m - 6)$ 19. b) $(x + 10)(x - 10)$ 20. a) $5(g + 2)(g + 1)$
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solve for d. d + 2 < 8 or d + 5 ≥ 13 write your answer as a compound in…
$d < 6$ or $d \geq 8$
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18. identify the operators on the left side of the equation ( m + n - o…
b. + and -
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4. what is another name for the legislative branch?
Another name for the legislative branch (in general, and for example in the U.S. context) is the "legislature" (or "Congress" for the U.S. federal legislative branch).
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factor -9x + 33 using the gcf 9(-x + 4) -9(x + 4) 3(-3x + 11) -3(3x + 1…
3. \(3(-3x + 11)\)
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simplify. $10\\sqrt{12}$
$20\sqrt{3}$
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factor 24x - 64 using the gcf; 6(4x - 12); 8(3x - 8); 12(2x - 5); 24(x …
B. 8 (3x - 8)
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17. the total cost for printing ( x ) copies of a book is $200 plus $2.…
a. $C = 200 + 2.50x$
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solve for d. -6 ≥ 4d - 9 > -12 write your answer as a compound inequali…
$-3 < q \leq 3$
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factor\ k² - 2k - 24\ (k+6)(k-1)\ (k+4)(k-6)\ (k-4)(k+6)\ (k+4)(k+6)
B. \((k + 4)(k - 6)\)
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11. factor the expression: $10v^2 + 11v - 8$ a) $(5v + 8)(2v + 1)$ b) $…
11. c) $(5v + 8)(2v - 1)$ 12. d) ``` a·c × b ``` 13. c) $3(x + 5)(x + 1)$ 14. a) $7(3z - 7)(z - 1)$ 15. d) $-2(h - 7)(h + 5)$
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simplify. $10\\sqrt{45}$
$30\sqrt{5}$
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factor by using gcf: 8n³ + 2n²; options: n²(8n+2), 2n²(4n + 1), 2n²(4n-…
2n²(4n + 1)
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how does paragraph 4 refine the concept of guanaco mobility? a by expla…
A. by explaining that guanacos are able to swim effectively
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solve for g. ( g - 7 > 9 ) or ( g + 14 leq 14 ) write your answer as a …
$g \leq 0$ or $g > 16$
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simplify. \\sqrt{50}
$5\sqrt{2}$
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factor completely $a^2 + 10a + 24$ $4(a + 6)(a + 9)$ not factorable $(a…
C. $(a + 4)(a + 6)$
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factor completely $r^2 - r - 56$ options: $4(r + 3)(r + 9)$ $(r + 7)(r …
\((r + 7)(r - 8)\) (corresponding to the purple option: \((r + 7)(r - 8)\))
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solve for n. n + 5 ≤ 1 or n + 4 > 11 write your answer as a compound in…
$n \leq -4$ or $n > 7$
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simplify. 7√20
$14\sqrt{5}$
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4x + 12 = 36\ \\(\\frac{x}{4}\\) + 6 = 12
For $4x + 12 = 36$, $x = 6$ For $\frac{x}{4} + 6 = 12$, $x = 24$
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adapted from the innocents: \chapter 2\ by sinclair lewis they took the…
D. "The cricket who chirped so gaily when he was with Mother was also a weary man, a prisoner of daily routine. He had to become free for freedom."
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factor -9x + 33 using the gcf; 3 (-3x + 11); -9 (x + 4); -3 (3x + 11); …
A. $3 (-3x + 11)$
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3. what does the executive branch do?
The executive branch is responsible for implementing and enforcing the laws of the nation. It is led by the head of state/government (e.g., the President in the US), and its funct…
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complete the sum to product x a) -7, 4 \t\t\t\tb) 7, -4 c) -7, -4 \t\t\…
1. b) 7, -4 2. a) $(3v-7)(v+1)$ 3. d) $(h - 4)(4h - 1)$ 4. d) $(2x + 3)(x + 5)$
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solve for p. 14 ≤ p + 6 < 15 write your answer as a compound inequality…
$8 \leq p < 9$
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4d word study a suffix is a word part that comes at the end of a word. …
### Verb to Noun Conversion (Using Given Suffixes: -ence, -er, -ion, -tion, -ment) 1. **correspond** To convert "correspond" (verb) to a noun, we add the suffix *-ence*. Noun: **c…
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factor by using gcf: 8n³ + 2n² 2n²(4n - 1) n²(8n + 2) 2n²(4n + 1) 3n(4n…
C. \(2n^2(4n + 1)\) (assuming the orange option is labeled as C, if the options are labeled A, B, C, D with A being green, B purple, C orange, D teal)
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deeper allure. as you read, take notes on frost’s use of imagery and th…
D. It does not understand why they have stopped.
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solve for x. $x + 5 \\leq -1$ or $x - 11 \\geq -10$ write your answer a…
$x \leq -6$ or $x \geq 1$
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robert frost (1874 - 1963) was one of the most popular and critically r…
C. stops to observe the snowfall in the woods.
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multiple-choice question ponyboy and johnny fell asleep in the lot. why…
Because he was worried about him, he was afraid to call the police and get him and Soda in a boys' home
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drag and drop the choice into the box to correctly complete the sentenc…
vote of the United Nations
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2. who is in charge of the executive branch?
The President (in the context of the United States government, for example) is in charge of the executive branch.
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solve for h. 20 > h + 11 ≥ 6 write your answer as a compound inequality…
$9 > h \geq -5$
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how do johnny and ponyboy both feel? bitter, tired of that war against …
Bitter, tired of that war against the Greasers and the Socs
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find the gcf of 64 and 144 16 2 6 8
A. 16
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warm-up quiz qtr-3, #1 1.) $(-8 + a^2 - 3a^3) + (-4a^3 + 4a - 2a^2)$ 2.…
1. $-7a^3 -a^2 +4a -8$ 3. $8n^2 -28n +24$ 4. $4x^2 +28x +49$ 5. $n^2 +4n -10$ Note: Problem 2 is not fully legible and cannot be solved accurately; please provide the complete, cl…
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which statement about the united nations is true? the general assembly …
The General Assembly gives all its member nations an equal say in decisions.
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a metaphor is a figure of speech that makes a direct comparison between…
The declaration of war changed the face of "McClure's."
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factor using gcf or monomial factoring: 2x + 18; cannot be factored; 2(…
2(x + 9) (the option in the teal/blue square)
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what was on the piece of paper two - bit took out of his pocket? marcia…
The blue Mustang plate number
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3(y + 5) = x\\ \\frac{x}{y} = 2\\ if (x, y) is the solution to the syst…
D) $-15$
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based on information given in the selection, a text that is annotated h…
D. notes that explain unfamiliar terms or concepts to readers
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which event caused tension between the united states and the soviet uni…
C. the spread of communism in Eastern Europe
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1. what are the names of the three branches of government?
The three branches of government are the Legislative Branch, the Executive Branch, and the Judicial Branch.
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johnny was looking at the socs hand, he was wearing three heavy rings. …
- Cherry's boyfriend, Bob - The one responsible for the cuts on Johnny's face
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what is the gcf of 18k and 15k³
3k
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how did the sail impact the mesopotamians? a. they were able to grow mo…
B. They were able to trade over long distances.
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how do these two excerpts from the selection work together? a both argu…
B. Both illustrate Tarbell's exhaustive methods of researching, writing, revising, and publishing.
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$x^2 - 5x + 6$ factor completely; $x(x - 10)$; $(x - 3)(x - 2)$; $(x + …
B. $(x - 3)(x - 2)$
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what is the name of the earliest known writing system, which was develo…
C. cuneiform