Algèbre
Équations linéaires, fonctions quadratiques, inégalités et transformations.
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charlie and susan are planning a party for 10 people. charlie finds a l…
- Susan's location is cheaper for 10 people - The charge for each additional person is greater for Charlie's location
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factor $x^2 - 8x + 7$
$(x-1)(x-7)$
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what does gcf stand for? greatest common factor gaming center facility …
A. Greatest Common Factor
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choose the correct answer. topic: airplanes focus: can fly airplanes? f…
D. can fly
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challenge questions: why is it important that no part of our american g…
It is important because the American government uses a system of checks and balances among its three branches (legislative, executive, judicial). If one branch were more powerful,…
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factor $x^2 - 16x + 48$ options: $(x - 16)(x - 3)$ $(x - 12)(x - 4)$ $(…
B. $(x - 12)(x - 4)$
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which of the following expressions is equivalent to $18x^4 - 12x^2$? $6…
D. $6x^2 (3x^2 - 2)$
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factor 12x - 40 using the gcf; 4 (3x + 10); 2 (6x + 20); 4 (3x - 10); 2…
C. 4 (3x - 10)
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the function h is defined by the following rule. h(x)=5x+3 complete the…
When \( x = -3 \), \( h(x)=-12 \); when \( x = -2 \), \( h(x)=-7 \); when \( x = 0 \), \( h(x)=3 \); when \( x = 1 \), \( h(x)=8 \); when \( x = 4 \), \( h(x)=23 \) So the complet…
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evan bought a pair of shoes online for $67. he used a coupon code to ge…
$\$5.36$
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add. $-dfrac{1}{4}+dfrac{7}{8}$ write your answer in simplest form.
\(\frac{5}{8}\)
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1. which expression is equivalent to (2 + 3(x - 5)+4)? a. (3x + 9) b. (…
B. $3x - 9$ ---
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factor 18x + 30 using the gcf; 3 ( 6x + 10); 6 ( 3x + 5); 2(9x + 15); 9…
B. 6 ( 3x + 5)
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7.75+3.50x≤23.00 solve the inequality above to express how many pounds …
\(x \leq 4.4\)
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add. $-\frac{1}{2}+\frac{5}{8}$ write your answer in simplest form.
$\frac{1}{8}$
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factor completely: $x^2 - 17x + 72$ options: $(x - 9)(x + 8)$ $(x + 9)(…
C. $(x-9)(x-8)$
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factor $n^2 + 16n + 63$ $(n - 7)(n + 4)$ $(n + 7)(n + 9)$ $(n - 3)(n - …
B. (n+7)(n+9)
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simplify. $(5w)^3$ write your answer without parentheses.
\(125w^3\)
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simplify. write your answer as a prop \\(dfrac{dfrac{14}{13}}{dfrac{41}…
\(\frac{630}{533}\)
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simplify. $(4x)^2$ write your answer without parentheses.
\(16x^2\)
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reading: un viaje divertido mi familia y yo estamos de vacaciones en un…
1. The family is staying in a hotel near the center of a very beautiful city. 2. They have a double hotel room. 3. During the day, the narrator goes on an excursion, sees many tou…
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ava graphs the function $h(x) = x^2 + 4$. victor graphs the function $g…
To solve this, we analyze the transformations of the parent function \( f(x) = x^2 \): ### 1. Analyze Ava’s function \( h(x) = x^2 + 4 \): The general form for a **vertical transl…
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father went through this spasm of solitary fear each first night of vac…
C. keep their belongings separate
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ahab went to the farmer’s market on monday. he has no more than $23.00 …
\( 7.75 + 3.50x \leq 23.00 \)
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when factoring a trinomial, you find two numbers that ______ to the mid…
add; multiply
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simplify. $(3v)^4$ write your answer without parentheses.
\(81v^4\)
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ava graphs the function $h(x) = x^2 + 4$. victor graphs the function $g…
To solve this, we analyze the transformations of the parent function \( f(x) = x^2 \): ### Step 1: Analyze Ava’s function \( h(x) = x^2 + 4 \) The general form for vertical transl…
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write a two - step inequality, using the values provided in the problem…
18
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simplify. assume h is greater than or equal to zero.\\sqrt{8h}
$2\sqrt{2h}$
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do you think robert f. kennedy made a strong case for a peaceful reacti…
Robert F. Kennedy made a strong case. His argument centered on empathy (acknowledging grief/anger), shared humanity (calling for unity across races), and honoring MLK’s non - viol…
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simplify. assume f is greater than or equal to zero. \\(sqrt{50f^3}\\)
$5f\sqrt{2f}$
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shayna enlarged a square photo by adding 10 inches to each side so it c…
6 inches by 6 inches
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sing the quadratic formula with complex solutions open - ended question…
$x=2+i\sqrt{3}$ and $x=2-i\sqrt{3}$
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tran recently started collecting comic books. she has collected 191 com…
\( 191 + 21x > 560 \)
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simplify. assume q is greater than or equal to zero. \\(sqrt{18q^{4}}\\)
$3q^2\sqrt{2}$
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the image shows a geometric representation of the function $f(x)=x^2 - …
\( f(x) = (x - 1)^2 - 7 \) (the fourth option, assuming the options are listed as: A. \( f(x) = (x - 1)^2 - 5 \) B. \( f(x) = (x + 1)^2 - 5 \) C. \( f(x) = (x + 1)^2 - 7 \) D. \( …
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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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simplify. assume x is greater than or equal to zero. \\(sqrt{45x^{9}}\\)
$3x^4\sqrt{5x}$
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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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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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solve for u. $-3 leq \frac{u - 5}{4} leq 2$ write your answer as a comp…
$-7 \leq u \leq 13$
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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 $n^2 + 16n + 63$ $(n+7)(n+9)$ $(n-7)(n+4)$ $(n+7)(n-9)$ $(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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simplify. \\sqrt{45}
$3\sqrt{5}$
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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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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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what values of x solve the following inequality? -(6x - 6) < 40 - 16x
\(x < \frac{17}{5}\) (or \(x < 3.4\))
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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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simplify. \\sqrt{98}
$7\sqrt{2}$
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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