代数
一次方程式、二次関数、不等式、式変形。
-
factor $3x^2 + 5x - 12$. a. $3(x + 1)(x - 4)$ b. $3(x - 1)(x + 4)$ c. $…
C. \((x + 3)(3x - 4)\)
-
jane plans to watch 3 movies each month. write an equation to represent…
\( n = 3m \)
-
solve for w. \\(\\frac{4}{8} = \\frac{w}{6}\\) simplify your answer as …
\(3\)
-
applying the standard how might this standard appear on a test? 1) eval…
s: a) \(-5\) b) \(21\) c) \(-54\) d) \(30.3\) e) \(\frac{11}{12}\) f) \(19\frac{5}{8}\)
-
solve for n. $\frac{2}{3}n = 4$ $n = \\square$
\( n = 6 \)
-
solve this system of equations using the elimination method. -12x - 3y …
The solution is \( (3, -2) \)
-
simplify the following expression and then identify the constant and co…
Simplified expression: \(-0.8v + 8.5\); Coefficient: \(-0.8\); Constant: \(8.5\)
-
question 18 lesson 6-4: extra practice solve 6.3d = 47.25. d = __
\( 7.5 \)
-
simplify the expression. 9 - 3(5 - 4x) = \\square
\(12x - 6\)
-
solve 36.33 = 4.2v.
\( u = 8.65 \)
-
solve \\( \\frac{3}{7} = \\frac{1}{2}m \\). \\( m = \\) __
\( \frac{6}{7} \)
-
incorrect 2 tries left. please try some \\( \\frac{1}{8} = \\frac{21}{3…
\(\frac{16}{3}\)
-
(03.01r) given a polynomial f(x), if (x - 1) is a factor, what else mus…
\(f(1) = 0\) (corresponding to the option with \(f(1)=0\))
-
eleanor roosevelt civil rights act of 1964 fall of the berlin wall help…
- Eleanor Roosevelt: helped draft and promote the Universal Declaration of Human Rights - Civil Rights Act of 1964: ended legal segregation in public spaces and workplaces - Fall …
-
solve \\( \\frac{1}{x} = \\frac{1}{3} \\)
\( x = 3 \)
-
simplify (3 + 5y)².
\(25y^2 + 30y + 9\)
-
solve \\(\frac{4}{5}a = \frac{2}{3}\\). \\(a = \\underline{quadquad}\\)
\(a = \frac{5}{6}\)
-
graph the function f(x) = 7(x + 4)². plot the vertex. then plot another…
Vertex: \((-4, 0)\), Another point: \((-3, 7)\) (plot these on the given grid to graph the function)
-
question 10 (multiple choice worth 5 points) (03.02r mc) which statemen…
The function is odd because \( f(-x) = -f(x) \). (The option corresponding to this statement, e.g., if the third option is "The function is odd because \( f(-x) = -f(x) \)", then …
-
solve \\(\frac{1}{4}x = \frac{4}{7}\\). x = ___
$\frac{16}{7}$
-
(\frac{1}{5}m + \frac{2}{3} - 2 = m - \frac{2}{5})
$m = -\dfrac{7}{6}$
-
graph the function f(x) = 2x² - 10. plot the vertex. then plot another …
Vertex: \( (0, -10) \), Another point: \( (1, -8) \) (or other valid point like \( (2, -2) \))
-
equations below. show your work. n + 14 = 24 10+14=24 24=24 s - 7 = 19 …
\( n = 10 \) ### Solving \( s - 7 = 19 \)
-
solve 3s = 39. s = ___ need help?
\( s = 13 \)
-
solve for x using common denominators. \\frac{3}{5(x - 4)} = \\frac{x}{…
\(\frac{3}{5}\) (assuming one of the options is \(\frac{3}{5}\), for example, if the option with \(\frac{3}{5}\) is labeled as, say, option C, then the answer would be C. \(\frac{…
-
find a polynomial function of least degree having only real coefficient…
\(P(x) = x^4 - 10x^3 + 31x^2 - 18x - 34\)
-
question 11 lesson 6-4: extra practice solve $8f = 40$. $f = \\underlin…
\( f = 5 \)
-
grammar review directions: underline the dependent clause in the follow…
1. $\underline{\text{While the refugees crossed the dangerous sea}}$, $\underline{\text{that might capsize their rafts}}$ 2. $\underline{\text{who had never seen the ocean before}…
-
solve 24 = 6y. y = need help?
\(y = 4\)
-
independent practice for numbers 1 - 5, choose the answer that best pun…
C. Salk (1914 - 1995) discovered ### Question 2
-
graph this function: y = |x| - 4 click to plot the vertex first.
The vertex of the function \( y = |x| - 4 \) is at the point \((0, - 4)\), and the graph is a V - shaped graph opening upwards with additional points like \((4,0)\), \((-4,0)\), \…
-
select the correct choice below and, if necessary, fill ○ a. x = (type …
A. \(x = 29\) ### Problem 8: Solve \(\frac{1}{x - 18}-\frac{3x}{x^{2}-324}=\frac{4}{x + 18}\)
-
question 8 (multiple choice worth 5 points) (03.03r mc) identify the ze…
The option with \(-9,\frac{3}{4},3\) (assuming the fourth option in the given choices, or the one matching these values)
-
solve 14 = 7b. b = need help?
\( b = 2 \)
-
juanita begins to factor an expression as shown. $x^2 + 3x - 18 = (x + …
6 and 3 (the option "6 and 3")
-
simplify the expression. -6a + 7(-2a - 4) =
\(-20a - 28\)
-
question 7 (multiple choice worth 5 points) (03.03r mc) one zero of the…
0, -5, 4 (corresponding to the option with these values, likely the third option in the list)
-
graph the function f(x) = -x². plot the vertex. then plot another point…
The vertex is at \((0, 0)\), and another point on the parabola can be \((1, -1)\) (or \((-1, -1)\) etc.). To graph, plot \((0, 0)\) as the vertex and then a point like \((1, -1)\)…
-
graph this function: y = |x| - 4 click to plot the vertex first.
The vertex of the function \(y = |x|-4\) is at \((0,-4)\), and the graph is a V - shaped graph with the vertex at \((0,-4)\), passing through points like \((1,-3)\), \((-1,-3)\), …
-
the remaining $31,000 at 6% interest on a six-year term loan. his payme…
Total payments (monthly \(\times\) months): \(\$37,090.72\); Interest (total - loan): \(\$6,090.72\) (or \(\$5,990.72\) as per text, likely typo); Total purchase price = down + \(…
-
question 6 (multiple choice worth 5 points) the dishes have been sorted…
The number of cups is 8. So the correct option (assuming the options are related to the number of cups and one of them is 8) is the one with 8 (e.g., if the options are A. 3, B. 6…
-
graph the function f(x) = -2x². plot the vertex. then plot another poin…
The vertex is at \( (0, 0) \), and another point (e.g., \( (1, -2) \)) can be plotted to draw the parabola \( f(x)=-2x^2 \) which opens downward.
-
which unit tiles are needed to complete the factorization? 2 negative u…
2 positive unit tiles
-
diego is baking cookies for a fundraiser. he opens a 5-pound bag of flo…
f = 3.5 (the option corresponding to this equation, e.g., if the third option is "f = 3.5", then the answer is the third option with its text, like "C. f = 3.5" assuming the optio…
-
question 5 (multiple choice worth 5 points) (03.01r) what is the remain…
96
-
for each table, determine whether it shows a direct variation. if it do…
First Table: - Direct variation (selected) - Equation: \( y = \frac{4}{5}x \) Second Table: - Direct variation (selected) - Equation: \( y = \frac{5}{2}x \)
-
question 5 5. what is the lcd of the following rational equation: \\(\\…
C. \((a + 6)(a - 6)\)
-
11. select the graph of the system of inequalities. $x - y \\leq 1$ $x …
C ### Question 12 - Part A
-
which shows the four-term polynomial and factored form of $x^2 + 6x - 2…
\(x^2 + 9x - 3x - 27 = (x + 9)(x - 3)\) (the third option)
-
4. which of the following is a factor of $x^3 - 64$? a) $x^2 + 4x + 16$…
a) \(x^2+4x+16\)
-
read this excerpt from \talking robots.\ sejnowski rejected the usual t…
D. to praise Sejnowski’s innovation
-
graph this function: y = 3|x| click to plot the vertex first.
The vertex of the function \(y = 3|x|\) is at \((0,0)\). To graph the function, first plot the point \((0,0)\). Then plot other points such as \((1,3)\), \((-1,3)\), \((2,6)\), \(…
-
3. the volume of a rectangular prism is modeled with the function $v(x)…
a) \( (2x - 1)(x + 3) \)
-
a racetrack is 3.2 miles long. a racecar driver travels a total of 35.2…
A) \( 3.2r = 35.2 \)
-
shania bought a $1010 drum set on the installment plan. the installment…
Down payment: $202.00 Total monthly payments: $959.40 Total installment payment: $1161.40 Finance charge: $151.40
-
2. find the vertex and the opening direction of the parabola, $y = -3x^…
a) \((-2, 5)\), down
-
each package of flour a baker has contains 17 cups of flour. the baker …
A) \( 17f = 76.5 \)
-
question 3 (multiple choice worth 5 points) (04.01r mc) what is the sim…
\(\frac{x + 3}{4}\) (which corresponds to the option \(\frac{x+3}{4}\))
-
graph this function: y = |x| + 2 click to plot the vertex first. (graph…
The vertex of the function \(y = |x|+2\) is at the point \((0,2)\), so we plot the point \((0,2)\) on the graph.
-
evaluate each of the following. a) $(-3)^2$ b) $(-3)^3$ c) $-3^2$ d) $-…
a) \(9\) b) \(-27\) c) \(-9\) d) \(27\)
-
which structural element do \ambush\ and \facing it\ share? ○ they cont…
D. They include a flashback about an event.
-
1. using the quadratic formula solve the following quadratic: $2x^2 - 3…
B. \( \frac{3\pm i\sqrt{31}}{4} \)
-
it takes \\( \\frac{2}{5} \\) hour to fill a gallon container with liqu…
B) $\frac{2}{5}w = 3\frac{1}{3}$
-
3a) factor $1 - 125n^3$ b) choose the polynomial identity you used in 3…
\((1 - 5n)(1 + 5n + 25n^{2})\) ### 3b)
-
which best describes the sequencing of ambush? ○ it relates events in t…
C. It contains a narrative that is told within another narrative.
-
a) -3(x + 5) > 6 -3x - 5 > 6
The error was in the distributive property step. The correct first step after distributing is \(-3x - 15>6\), and the solution to the inequality is \(x < - 7\).
-
what value should simon write on the line? -6 -2 2 6
6 (with the option being the last one, labeled as 6)
-
which excerpt from \ambush\ best reflects the storys central conflict? …
D. Sometime I forgive myself, other times I don't.
-
what is the factored form of $x^2 - 4x - 5$? \\bigcirc \\ (x + 5)(x - 1…
D. \((x - 5)(x + 1)\)
-
guided practice add the punctuation shown in italics to set off the par…
1. Elizabeth Blackwell (1821 - 1910) grew up in a time when women were not welcome in many professions. 2. She thought women would want to see a female doctor, rather than a male,…
-
suppose a given economy starts at point a in the figure. if the fed eng…
c) Aggregate demand will increase because of lower interest rates.
-
its rays dim and disappear into the night, whispering: time to rest. wh…
A. to show that it is saying good night ### Question 5
-
for each table, determine whether it shows a direct variation. if it do…
First table: Direct variation, Equation: \( y = \frac{5}{4}x \) (or \( y = 1.25x \)) Second table: Direct variation, Equation: \( y = -0.8x \) (or \( y = -\frac{4}{5}x \))
-
if $x - 9$ is a factor of $x^2 - 5x - 36$, what is the other factor? $\…
\(x + 4\) (corresponding to the option "x + 4")
-
4. anna wants to sell toy cars at a craft fair for $12 each. the materi…
C 4 ### Question 5
-
in \ambush,\ which line signals the beginning of the narrative within t…
D. He was a short, slender young man of about twenty.
-
rename the top mixed number and subtract. simplify when necessary. 1. \…
s (for each problem): 1. \(2\frac{3}{4}\) 2. \(4\frac{3}{5}\) 3. \(4\frac{1}{3}\) 4. \(7\frac{5}{6}\) 5. \(1\frac{4}{7}\) 6. \(3\frac{7}{10}\) 7. \(1\frac{1}{2}\) 8. \(6\frac{4}{5…
-
4 read lines 24–25 of the poem. its rays dim and disappear into the nig…
A. to show that it is saying good night
-
which best describes the central conflict in \ambush\? ○ the narrator i…
B. The narrator is haunted by the experience of killing another man.
-
how does michio kaku develop the idea of future internet intelligence i…
B. by recounting the history of rapid Internet growth
-
which best describes a theme of both \ambush\ and \facing it\? ○ even p…
D. War and violence leave a lasting impact on people, especially soldiers.
-
negative / zero exponents (level 1) score: 1/4 penalty: none question w…
\(\frac{1}{5^{30}}\) (assuming one of the options is \(\frac{1}{5^{30}}\), likely the option labeled \(\frac{1}{5^{30}}\) among the choices)
-
which element is used in both \ambush\ and \facing it\ to create tensio…
C. the conflicted thoughts of the narrators
-
12. luciano parcourt $3\\frac{1}{2}$ km en 1 h 45 min. combien de km a-…
2 km
-
in the story \ambush,\ what is revealed to the reader through the frame…
C. The narrator continues to feel haunted by the events in Vietnam.
-
10 which expression is equivalent to \\( \\frac{x + 7}{x^2 + 4x - 21} \…
A. \(\frac{x + 3}{x - 3}\)
-
distribute to create an equivalent expression with the fewest symbols p…
\(6 - 16y\)
-
negative / zero exponents (level 1) score: 0/4 penalty: none question w…
\(\frac{1}{3}\) (the option with \(1/3\))
-
m = \\frac{1}{2} (-6, 12)
If the goal is to find the equation of the line, the slope - intercept form is $y=\frac{1}{2}x + 15$ and the point - slope form is $y - 12=\frac{1}{2}(x+6)$
-
simplify the expression. -3(5g + 1) + 8g = \\square
\(-7g - 3\)
-
f(x) = 2x² - 16x + 32 = 2(x - 4)² g(x) = -2x² - 8x - 8 = -2(x + 2)² h(x…
- \( f(x)=2x^2 - 16x + 32 \): The bottom - left graph. - \( g(x)=-2x^2 - 8x - 8 \): The top - right graph. - \( h(x)=-x^2 - 5 \): The bottom - right graph. - \( k(x)=-x^2 - 11x - …
-
5-87. write the first five terms of each sequence. show all work. a. t(…
(First five terms for part a): \(-3, 6, -12, 24, -48\) ### Part b
-
10. evaluate: (5-3)^0 + (3+4)^2 - 5^0
49
-
distribute to create an equivalent expression with the fewest symbols p…
\(18c - 30d + 36\)
-
compared with medieval art, the purpose of renaissance art was to suppo…
C. show the wealth of patrons.
-
which sentence best describes characteristics of renaissance art? ○ ren…
C. Renaissance art had both religious and secular themes. (Note: Assuming the options are labeled A - D in order, with the third option being C. If the original labeling is differ…
-
23 m = -\\frac{9}{4} (-4, 4)
If we were finding the equation of the line, the slope - intercept form is \( y =-\frac{9}{4}x-5 \) and the point - slope form is \( y - 4=-\frac{9}{4}(x + 4) \)
-
match each quadratic function to its graph. $f(x) = x^2 + 5$ $g(x) = -2…
- \( f(x)=x^2 + 5 \) matches the top - right graph. - \( g(x)=-2x^2 \) matches the bottom - left graph. - \( h(x)=2x^2 - 8 \) matches the bottom - right graph. - \( k(x)=-x^2 - x …
-
functions f and a are defined by these equations. f(x) = 80 - 15x a(x) …
A(2.5)>f(2.5) because 25 + 10(2.5)=50 (correcting the typo from 25 to 2.5), and 50>42.5 (the option with the typo is the intended correct one, so the answer is the fourth option: …
-
which statement best explains how the development of humanism during th…
A. Renaissance artists focused more on creating human, lifelike figures than Medieval artists did